An angle measures 3° more than two times its complement x please explain

An Angle Measures 3 More Than Two Times Its Complement X Please Explain

Answers

Answer 1

Solution:

Given that;

An angle measures 3° more than two times its complement x.

Let the larger angle be y

\(x+y=90\degree\)

The angle measures 3° more than two times its complement, i.e.

\(y=(2x+3)\degree\)

Then,

\(\begin{gathered} x+y=90\degree \\ x+(2x+3)\degree=90\degree \\ x\degree+2x\degree+3\degree=90\degree \\ 3x\degree=90\degree-3\degree \\ 3x=87\degree \\ x=\frac{87\degree}{3} \\ x=29\degree \end{gathered}\)

The smaller angle, x is 29 degrees

The larger angle is

\(y=2x+3=2(29)+3=58+3=61\degree\)

The larger angle, y is 61 degrees

The total is

\(x+y=29+61=90\degree\)

The total is 90 degrees.


Related Questions

PLS HELP WILL MARK BRAINLIEST! NO FAKE ANSWERS!

Name the circle and find mDCF

PLS HELP WILL MARK BRAINLIEST! NO FAKE ANSWERS!Name the circle and find mDCF

Answers

Answer:

Step-by-step explanation:

A circle is named by its center.

Name of the circle:  Circle B

∠DCF = 90°   {angle on a semicircle is right angle}

Answer:  B∠DCF = 90° I hope this helps!

Convert 4pi/5 to degrees.

Answers

Answer:

To convert radians to degrees, multiply by 180π , since a full circle is 360° or 2π radians. Cancel the common factor of π .

Answer:

144∘

Step-by-step explanation:

4π5⋅180∘π=144∘

can somwone please do thwse questions ​

can somwone please do thwse questions

Answers

Answer:  Follow these exact answers

A C D B A D

Step-by-step explanation: Here is a joke to make you laugh if I'm wrong: What do you call an IT teacher who touches up his students? A PDF file

Determine the circumference of a circle with a radius of 8 meters.

50.2 meters
100.5 meters
201.0 meters
25.1 meters

Answers

Answer:

50.2 is the answer as the answer came in point

Determine the circumference of a circle with a radius of 8 meters.50.2 meters100.5 meters201.0 meters25.1

1. The table shows the number of pages a
student reads in various amounts of time.
2. The dou
rate at
Dollars
Time (h)
3
5
9
10
Pages
195
325
585
650
Hours
Tell whether the relationship is a proportional relationship. Ex

Answers

Answer:

Please post the chart

Step-by-step explanation:

Using a p-value of .05 means that there is a 95% chance that the results of a study are truly statistically significant. This means that there is still a 5% chance those results are due to chance. This, combined with ________, are two main contributing factors to the reproducibility crisis.

Answers

Step-by-step explanation:

”. What this means is that there is less than a 5% probability that the results happened just by random chance, and therefore a 95% probability that a results reflects a meaningful pattern in human psychology. We call this statistical significance, and, statistically speaking, this is a pretty high standard

If this means that there is still a 5% chance those results are due to chance. This, combined with publication bias , are two main contributing factors to the reproducibility crisis.

What is publication bias?

When the results of research investigations affect whether or not they are published, it is known as publication bias.

It alludes to the propensity of academics, journals and other interested parties to publish studies with statistically significant or favourable outcomes while omitting or underreporting those with non-significant or unfavourable outcomes.distorted and incomplete.

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hey everyone im back!!!!!!! But im in Texas now! :D

Answers

Answer:

Hiii when I went to Florida Miami I landed in Texas

When 36 is subtracted from the square of a number, the result is five times the number. What is the positive solution?

Answers

Answer:

9

Step-by-step explanation:

\(x^{2}\)  - 36 = 5x

\(x^{2}\) - 36 = 5x

\(x^{2}\) -5x = 36

\(9^{2}\) - 45 = 36

  + 45  + 45

-----------------------

81 = 81 ✅

\(9^{2}\) - 36 = 5(9)

81 - 36 = 45 ✅

For each of the following scenarios, determine whether the mean or median better represents the data (place a check mark in the appropriate box). For each case, explain why you chose that particular average. The following three scenarios below do not have a specific data set. Be sure to consider all possibilities/outcomes! "Create" a data set if you need to.

Answers

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

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Given h(x) = -x + 2, find h(4).

Answers

-2 Negative two is what I got

The value of the function h(x) at x equal to 4 is -2.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given function is  h(x) = -x + 2, the value of the function at x equal to 4 will be calculated as below:-

h(x) = -x + 2,

h(x) = -(4) + 2,

h(x) = -2

Therefore, the value of the function h(x) at x equal to 4 is -2.

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Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.

Answers

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

Hong Kong Budget:
Contents: The Hong Kong budget comprises revenue and expenditure. It provides a detailed analysis of expected sources of income and the allocation of funds.Format: The Hong Kong budget is presented in a clear and concise format, including charts and graphs to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability.Disadvantages: It does not provide detailed information on tax expenditures and lacks public participation in the budget process.

United States Budget:

Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.

Korean Budget:

Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.

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the phase change line demonstrates a change in conditions on a graph and is represented by

Answers

The phase change line, also known as the phase boundary or phase transition line, is a line on a graph that represents a change in conditions for a substance. This line shows the temperature and pressure conditions at which a substance will change from one phase to another, such as from a solid to a liquid or from a liquid to a gas.

The phase change line is represented on a graph by a diagonal line that separates two regions where the substance is in different phases. This line usually slopes upwards from left to right, indicating that higher temperatures and pressures are needed to change the substance from one phase to another.

The phase change line is an important concept in thermodynamics and is used to understand the behavior of substances under different conditions. For example, the phase change line for water shows that at normal atmospheric pressure, water will freeze at 0°C and boil at 100°C. However, at higher pressures, the freezing and boiling points will change, and water may exist in different phases, such as a supercritical fluid.

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(10.07 mc) given what degree maclaurin polynomial is required so that the error in the approximation is less than 0.001?

Answers

n=4 is the degree maclurins polynomial is required so that the error in the approximation is less than 0.001.

Given that,

The expression is

e⁰⁵=1+0.5+0.5²/2!+0.5³/3!+.....

We have to find what degree maclurins polynomial is required so that the error in the approximation is less than 0.001.

We know that,

What is the polynomial?

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

√e=1.64872

Pₙ( x)= e⁰⁵=1+0.5+0.5²/2!+0.5³/3!+.....

P₂=1+0.5+0.5²/2!=1.625

P₃= P₂+0.5³/3!=1.6458

P₄= P₃+0.5⁴/4!=1.648404

√e - P₄ = -0.0003158

Therefore, n=4 is the degree maclurins polynomial is required so that the error in the approximation is less than 0.001.

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can someone give me the answers to these 5?? pleaseee!!

can someone give me the answers to these 5?? pleaseee!!

Answers

The MAD of the hourly wages given would be $ 0.48. The range would be $ 2.00. Q1 would be $8.25. Q3 would then be $9.25. The IQR would be $1.00

How to find the number summaries ?

Calculate the MAD:

First, find the mean of the data set:

mean = (sum of all values) / (number of values)

mean = (8.25 + 8.50 + 9.25 + 8.00 + 10.00 + 8.75 + 8.25 + 9.50 + 8.50 + 9.00) / 10

mean = 88.00 / 10 = 8.80

Then, find the mean of these absolute deviations:

MAD = (sum of absolute deviations) / (number of values)

MAD = (0.55 + 0.30 + 0.45 + 0.80 + 1.20 + 0.05 + 0.55 + 0.70 + 0.30 + 0.20) / 10

MAD = 4.10 / 10 = 0.41

Calculate the range:

range = maximum value - minimum value

range = 10.00 - 8.00 = 2.00

Find Q1 and Q3:

{8.00, 8.25, 8.25, 8.50, 8.50, 8.75, 9.00, 9.25, 9.50, 10.00}

Q1 is the median of the lower half, and Q3 is the median of the upper half.

Lower half: {8.00, 8.25, 8.25, 8.50, 8.50}

Upper half: {8.75, 9.00, 9.25, 9.50, 10.00}

Q1 = median of lower half = 8.25

Q3 = median of upper half = 9.25

Calculate the IQR:

IQR = Q3 - Q1

IQR = 9.25 - 8.25 = 1.00

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Assemble the proof by dragging tiles to the Statement and Reasons columns.

Assemble the proof by dragging tiles to the Statement and Reasons columns.

Answers

Answer:

Step-by-step explanation:

In a two column proof we always list the given information first. Then, we add statements and reasons in order of the steps.

Statements                                Reasons

∠ABC≅∠DEF                             Given

∠DEF=∠GHI                               Given

∠ABC=∠GHI                               Substitution Property of Equality

Answer:

1. <ABC ~/= <DEF - given

2. <GHI ~/= <DEF - given

3. <DEF ~/= <GHI - symmetric property

4. <ABC ~/= <GHI - transitive property

5. m<ABC = m<GHI - definition of ~/= angles

Step-by-step explanation:

edge 22

Neil is growing sugar crystals for his science fair experiment. He wants to find out if the amount of sugar affects the size of the crystal. Neil adds 18 tablespoons of sugar to his first bowl of water. He plans to add less sugar to the second bowl

Answers

Neil is growing sugar crystals for his science fair experiment. He wants to find out if the amount of sugar affects the size of the crystal. Neil adds 18 tablespoons of sugar to his first bowl of water. He plans to add less sugar to the second bowl.

The purpose of Neil's experiment is to find out if the amount of sugar affects the size of the crystal. Neil adds 18 tablespoons of sugar to his first bowl of water and plans to add less sugar to the second bowl. Sugar crystals form by cooling a hot, concentrated sugar solution. After the crystals have grown, Neil should weigh and measure their size. Neil will then compare the sizes of the crystals from each bowl. If he concludes that adding more sugar to the water causes the crystals to grow larger, Neil's hypothesis will have been supported. The independent variable is the amount of sugar, which is the amount Neil adds to each bowl of water. The dependent variable is the size of the sugar crystals.

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A tennis Court has an area of 312 yds. If the length is 2 yds more than twice the width, find the dimensions of the court.

Answers

Area = 312 yds

length (l) = 2width + 2

Formula

Area = length x width

Substitution

312 = (2 width + 2) (width)

312 = 2width^2 + 2width

2width^2 + 2width - 312 = 0

width^2 + width - 156 = 0

Factor

( x + 13)(x - 12) = 0

x1 = -13 x2 = 12

width = 12 yds

length = 2(12) + 2

length = 24 + 2

length = 26

Results

length = 26 yds

width = 12 yds

PLS HELP ME ASAP I WILL MARK THE BRAINLIEST

PLS HELP ME ASAP I WILL MARK THE BRAINLIEST
PLS HELP ME ASAP I WILL MARK THE BRAINLIEST
PLS HELP ME ASAP I WILL MARK THE BRAINLIEST
PLS HELP ME ASAP I WILL MARK THE BRAINLIEST
PLS HELP ME ASAP I WILL MARK THE BRAINLIEST

Answers

Answer:

Unfortunately I was only able to solve the second question

Step-by-step explanation:

So sorry if I'm wrong but this is what I got:

Volume of a cylinder

V=πr^2h

V=π(4^2)(19)

V=955.04

Lateral S.A.

S.A.=2πrh

S.A.=2π(4)(19)

S.A.=477.52

Total S.A.

S.A.=2πrh+2πr^2

S.A.=2π(4)(19)+2π(4^2)

S.A.=578.05

Which rule describes the composition of transformations that maps figure ABCDE to figure A" B" C" D" E"?​

Which rule describes the composition of transformations that maps figure ABCDE to figure A" B" C" D"

Answers

Answer:

It would be the fourth choice.

Step-by-step explanation:

To get ABCDE to A'B'C'D'E', you need to reflect the shape across line M. Then to go from A'B'C'D'E' to A''B''C''D''E'', you need to rotate about point C 180⁰.

It was first reflected across the x axis which would be line m. And since point c is the same place for the two bottom images , after the reflection it was rotated on point c.

The answer should be the 4th choice

PLEASE HELP AND QUICK WILL GIVE THANKS

PLEASE HELP AND QUICK WILL GIVE THANKS

Answers

Answer:

15.012

Step-by-step explanation:

tan(theta) = opposite/adjacent

tan65 = x/7

x = 7tan65

x = 15.012

hope this helped!

Answer is

15.012

Pls mark me brainless answer

2. Calculate the missing angle: 75 50° a)​

Answers

Answer:

The missing angle is 55°.

Step-by-step explanation:

==========================================

The three interior angles of a triangle add up to 180°.

This means that:

\(x\textdegree + 75\textdegree+50\textdegree=180\textdegree\\\rule{150}{0.5}\\x - \text{unknown angle}\)

==========================================

Using the equation above, we would solve for x.

\(x\textdegree + 75\textdegree+50\textdegree=180\textdegree\\\rule{150}{0.5}\\x\textdegree + 75\textdegree+50\textdegree=180\textdegree\\\\x\textdegree + 125\textdegree=180\textdegree\\\\x\textdegree + 125\textdegree-125\textdegree=180\textdegree - 125\textdegree\\\\\boxed{x = 55\textdegree}\)

The missing angle should be 55°.

==========================================

Hope this helps.

Answer:

25

Step-by-step explanation:

75 - 25 is 50

50 - 25 is 25

So the answer is 25

Hope this helps!

Find the length of the missing side using Pythagorean Theorem round to the nearest tenth if necessary 10.3 yd 8.4 yd

Answers

The missing side of triangle is 13.3 yd.

What is Pythagorean Theorem?

The Pythagorean theorem, also known as Pythagoras' theorem, is a basic Euclidean geometry relationship between a right triangle's three sides. According to this rule, the area of the square with the hypotenuse side is equal to the sum of the areas of the squares with the other two sides.

There are two sides of triangle are given.

We have to find the missing side of triangles.

Let x be the missing side of triangles.

By using Pythagorean theorem,

(10.3)^2 + (8.4)^2 = x^2

 106.09 + 70.56 = x^2

               176.55 = x^2

                    13.3 = x

                        x = 13.3

Hence, the missing side of triangle is 13.3 yd.

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Complete question:

Complete question is attached below.

Find the length of the missing side using Pythagorean Theorem round to the nearest tenth if necessary

You pay $1.56 for 4 pounds of bananas. Write and solve an equation to find out how much it costs for 1 pound of bananas.

Answers

Answer:

1.56 / 4 = 0.39

1 Pound of bananas cost $0.39

Step-by-step explanation:

Answer:

just divide 1.56 by 4

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!

PLEASE HELP!!!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

re-prove the result of problems iv, question 13 that (a, 6) [a, b] = ab for positive integers a and b using the fundamental theorem of arithmetic.

Answers

Using the fundamental theorem of arithmetic, we have proven that (a, 6) [a, b] = ab for positive integers a and b.

To prove that (a, 6) [a, b] = ab for positive integers a and b using the fundamental theorem of arithmetic, we'll proceed as follows:

Step 1: Prime factorization of a and 6:

Using the fundamental theorem of arithmetic, we can write a and 6 as products of their prime factors:

a = p1^k1 * p2^k2 * ... * pn^kn,

6 = 2^1 * 3^1.

Step 2: Finding the greatest common divisor (a, 6):

To find the greatest common divisor (a, 6), we consider the common prime factors between a and 6 and take the minimum exponent for each prime factor. In this case, the common prime factor is 2 with an exponent of 1. Therefore, (a, 6) = 2^1.

Step 3: Prime factorization of [a, b]:

Using the fundamental theorem of arithmetic, we can write [a, b] as a product of its prime factors:

[a, b] = p1^m1 * p2^m2 * ... * pn^mn.

Step 4: Finding the least common multiple [a, b]:

To find the least common multiple [a, b], we consider the prime factors between a and b and take the maximum exponent for each prime factor. In this case, we have already determined that the common prime factor is 2 with an exponent of 1. Therefore, [a, b] = 2^1.

Step 5: (a, 6) [a, b] = ab:

Substituting the values we found, we have:

(a, 6) [a, b] = 2^1 * 2^1 = 2^2 = 4.

Since ab = 4, we have proven that (a, 6) [a, b] = ab for positive integers a and b using the fundamental theorem of arithmetic.

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The length of a rectangular sandbox is 6 feet less than 3 times the width. The perimeter of the

sandbox is 36 feet.

Which statement is true

Answers

The length of a rectangular sandbox is

6 feet less than 3 times the width. The perimeter of the sandbox is 36 feet.

Which statement is true?

a) The equation (3w − 6) +w = 36

can be used to find the width of the rectangle, and the width is 6 feet.

b) The equation(3w −6) + w =36

can be used to find the width of the rectangle, and the width is 12 feet.

c) The equation 2(3w − 6) + 2w = 36

can be used to find the width of the rectangle, and the width is 6 feet.

d) The equation 2(3w − 6) +2w = 36

can be used to find the width of the rectangle, and the width is 12 feet.

Answer:

Option c) is true

The equation 2(3w − 6) + 2w= 36

can be used to find the width of the rectangle, and the width is 6 feet.

Step-by-step explanation:

The length of a rectangular sandbox is

6 feet less than 3 times the width. The perimeter of the sandbox is 36 feet.

L = 3 × W - 6

L = 3W - 6

The formula for perimeter of a rectangle = 2(L + W)

= 2L + 2W

Hence, we substitute

P = 2L+ 2W

36 = 2(3W - 6) + 2W

36 = 6W -12 + 2W

Collect like terms

36 +12 = 6W + 2W

48 = 8W

W = 48/8

W = 6

The width is 6 feet

Which statement is true?

Option c) is true

The equation 2(3w − 6) + 2w= 36

can be used to find the width of the rectangle, and the width is 6 feet.

As presented in the passage, Mrs. Quabarl is best
described as
A) superficially kind but actually selfish.
B) outwardly imposing but easily defied.
C) socially successful but irrationally bitter.
D) naturally generous but frequently imprudent.

Answers

Correct option is B. Mrs. Quabarl is best described as outwardly imposing but easily defied.

Mrs. Quabarl is very vocal about her demands and imposing in her wishes as stated in the passage. But she is also docile and surprised when she is defied, though she speaks nothing of it.

There is no indication of her being selfish, or bitter, neither imprudent. Thus, options A,C and D are incorrect.

Lady Carlotta is approached by the “imposingly attired lady” Mrs. Quabarl while standing at a train station (lines 32-35).

Mrs. Quabarl assumes Lady Carlotta is her new nanny, Miss Hope: “You must be Miss Hope, the governess I’ve come to meet” (lines 36-37). Lady Carlotta does not correct Mrs. Quabarl’s mistake and replies, “Very well, if I must I must” (line 39).

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Based on the results of the above study can we conclude that spending more than 7 hours per week on physical activity leads to lower stress levels in adolescents? Select Yes or No and a reason for your choice. No because A. Researchers only surveyed participants and did not tell them what to do. B. A sample size of 1508 is large enough to establish causal relationships. C. Some teenagers are not responsible enough to make good decisions about their health. D. There was no difference in physical activity across genders.

Answers

Based on the study described, it is true that physical activities lead to lower stress and a sample size of 1508 is large enough to establish causal relationships (Option A).

What can be concluded about this study?

In this study, the researchers analyzed the effect of physical activity on stress levels. To do this, they chose a representative sample, which included 1508 teenagers and compared the results not only by physical activity but also by gender.

Based on this, the sample is representative and due to the differences in the data the results showed that the more teenagers exercise the less stressed they are.

Note: This question is incomplete. Here is the complete information:
Attached image

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Based on the results of the above study can we conclude that spending more than 7 hours per week on physical


Help please answer this point an brainlist

Help please answer this point an brainlist

Answers

The first table represents a linear function because it is increasing by a steady rate of 1/2 each time.
Help please answer this point an brainlist

[25 POINTS] A cylinder has a volume of 400π cm3. Find the dimensions that minimize its surface area.

[25 POINTS] A cylinder has a volume of 400 cm3. Find the dimensions that minimize its surface area.

Answers

Answer:

r = 5.848cm, h = 11.696cm

Step-by-step explanation:

Surface area: \(SA=2\pi rh+2\pi r^2\)

Volume: \(V=\pi r^2h\)

Therefore, the height of a cylinder given its volume would be \(h=\frac{V}{\pi r^2}\), thus:

\(SA=2\pi r(\frac{V}{\pi r^2})+2\pi r^2\\\\SA=\frac{2V}{r}+2\pi r^2\\\\SA=\frac{2(400\pi)}{r}+2\pi r^2\\\\SA=\frac{800\pi}{r}+2\pi r^2\)

We now find the derivative of the surface area of the cylinder with respect to its radius and set it equal to 0, solving for the radius:

\(\frac{d(SA)}{dr}=-\frac{800\pi}{r^2}+4\pi r\)

\(0=-\frac{800}{r^2}+4\pi r\)

\(0=800\pi+4\pi r^3\)

\(-800\pi=4\pi r^3\)

\(-200=r^3\)

\(r\approx5.848\)

If \(0If \(r>5.848\), then the surface area of the cylinder increases

Therefore, the surface area is minimized when the radius is \(r=5.848cm\), making the minimum height \(h=\frac{V}{\pi r^2}=\frac{400\pi}{\pi(5.848)^2}\approx11.696cm\).

In conclusion, the 2nd option is correct.

Other Questions
In general, how many solutions will the congruence ax b (mod m)have in Z/mZ? Major Nineteenth-Century InnovationsAgriculture:Mechanical reapersCombine harvestersSteel plowsGrain drillsIndustry:Interchangeable partsPower loomsSteam enginesBessemer processThese innovations in agriculture and industry resulted in A. higher consumer costs B. decreased profits for investors C. less consumer choice D. more efficient production of goods cassy reports a gross tax liability of $1,150. she also claims $550 of nonrefundable personal credits, $775 of refundable personal credits, and $350 of business credits. what is cassy's tax refund or tax liability due after applying the credits? which postulate or theorem if any could you use to prove the two triangles congruent? if not enough information is given choose not enough information. Write an equation in point-slope form for the line that passes through the given points (1-3), (1,-15) Select the correct answer for each of the following questions.On January 1, 20X7, the partners of Casey, Dithers, and Edwards, who share profits and losses in the ratio of 5:3:2, decided to liquidate their partnership. On this date, its condensed balance sheet was as follows: Assets Liabilities and Capital Cash $50,000 Liabilities $60,000 Other Assets 250,000 Casey, Capital 80,000 Dithers, Capital 90,000 Edwards, Capital 70,000 Total $300,000 Total $300,000 Assets Cash Other Assets Total Liabilities and Capital $50,000250,000$300,000 Liabilities Casey, Capital Dithers, Capital Edwards, Capital Total $60,00080,00090,00070,000$300,000On January 15, 20X7, the first cash sale of other assets with a carrying amount of $150,000 realized$120,000. Safe installment payments to the partners were made on the same date. How much cash should be distributed to each partner? Casey Dithers Edwards $15,000$51,000$44,000$40,000$45,000$35,000$55,000$33,000$22,000$60,000$36,000$24,000 Casey $15,000$40,000$55,000$60,000 Dithers $51,000$45,000$33,000$36,000 Edwards $44,000$35,000$22,000$24,000In a partnership liquidation, the final cash distribution to the partners should be made in accordance with thea. Partners profit and losssharing ratio.b. Balances of the partners capital accounts.c. Ratio of the capital contributions by the partners.d. Ratio of capital contributions less withdrawals by the partners. according to the speaker, why do we tell stories? explain why you think we tell stories. What is independent variable and dependent variable examples? How does the Declaration of Independence uphold the principle of the social contract? Read the Introduction [paragraphs 1-4].Which paragraph from the Introduction explains WHY freed Black people held a Memorial Day ceremony in Charleston? In context, which of the following is the best way to revise and combine sentences 7 and 8 (reproduced below)? Read the passage from President Barack Obama's back-to-school remarks. And thats what I want to focus on today: the responsibility each of you has for your education. I want to start with the responsibility you have to yourself. Every single one of you has something youre good at. Every single one of you has something to offer. And you have a responsibility to yourself to discover what that is. Thats the opportunity an education can provide. The repetition of responsibility in the passage helps Obama achieve his purpose by providing evidence to support his speech. emphasizing the main idea of the speech. showcasing his expertise at writing a speech. soothing the audience with the rhythm of the speech. At the beginning of the day, it was -13. Throughout the day, the temperature increased 28. What was the temperature (in degrees) at the end of the day? A 5 person sports team has an average 40 yard dash time of 5. 7 seconds. When a 6th player is added to the team, the new mean is 5. 5 seconds. What is the new players personal time for the 40 yard dash?. Estimate 74% of 587.A 450B 500C 385D 412 PLEASE HELP ME WITH THIS LAST QUESTION OMG PLEASEE I NEED HELP!!! In what way does Anne Bradstreet criticize the Puritan religion? Identify one piece of evidence that moser uses in the passage to support his claim regarding nationalist perceptions of liberal economic policies. Line a is parallel to line b and goes through the point (1,2). Line b goes through the point (3,1) and is perpendicular to line c whose equation is y = -2x+3. Find the y-intercept of line a. what noble-gas configurations and charge are the following elements likely to attain in reactions in which they form ions?