1. Write a similarity statement if the triangles are similar
2. If the traingles are similar, state the triangle similarity postulate (shortcut) you used to prove similarity.
U
36
73
30
15
D
E

Answer:

A: 10 pillows

Step-by-step explanation:

Conventional way:

Turn 6 into 6/1.

6/1 ÷ 3/5

Answer: 10

-kiniwih426

Answer:

the answer should be 14

Step-by-step explanation:

first you start with what you have: you know a=3. If you plug it into the equation, you have 2(3) + 8.

2 times 3 = 6, and 6+8= 14

So your answer should be 14

Hope this helps :)

Answer:

$25,000

Step-by-step explanation:

The car was worth 100% of its price when it was bought.

Let the x = value of the car when she bought it last year.

It lost 20% of its value, so now it is worth only 80% of the original value.

Now it is worth 80% of x, or 0.8x.

The car is worth now $20,000.00, so 0.8x must equal $20,000.00.

0.8x = 20,000

Divide both sides by 0.8.

x = 20,000/0.8

x = 25,000

Answer: $25,000

Each chair or table requires between 0.2 and 1 gallon of paint to be painted.

What is the equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

To find out how many gallons of paint are used to paint each piece of furniture, we need to divide the total amount of paint used by the total number of pieces of furniture.

Let x be the amount of paint used to paint one chair or table, in gallons.

Then, for 20 chairs and 5 small tables, the total amount of paint used is:

4 gallons = 20x + 5x

Simplifying this equation, we get:

4 gallons = 25x

Dividing both sides by 25, we get:

x = 0.16 gallons

Therefore, it takes 0.16 gallons of paint to paint each chair or table. Since we are looking for whole numbers, we can round this to the nearest whole number to get:

0.16 gallons ≈ 0.2 gallons

Hence, each chair or table requires between 0.2 and 1 gallon of paint to be painted.

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The reasons Travis can use to prove both triangles are congruent by the SAS congruency theorem are:

The SAS congruency theorem states that two triangles are congruent when they both have two pairs of corresponding congruent sides and a pair of corresponding congruent included angles.

Given the image below, we have the following proof with the statement and reasons in bracket:

WZ ≅ XY [given]

WY ≅ WY [reflexive property]

∠ZWY ≅ ∠XYW [by the alternate interior ∠s theorem]

△WZY ≅ △YXW [by the SAS congruency theorem]

Therefore, the reasons Travis can use are:

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Answer:

A. ∠ZWY ≅ ∠XYW by the alternate interior ∠s theorem;  

B. WY ≅ WY by the reflexive property;  & E. WZ ≅ XY by the given.  

Step-by-step explanation:  Trust Me!  Answer is correct on Edge.  

Good Luck! :)

Which reasons can Travis use to prove the two triangles are congruent? Check all that apply.

Answer:

3/7

Step-by-step explanation:

Agatha brings four dishes, Bertha brings three dishes. The total number of dishes brought = dishes brought by Agatha + dishes brought by Bertha.

Total dishes = 4 + 3 = 7 dishes

The remaining five friends brought money for the dishes. Therefore the fraction of money going to Bertha is the ratio of dishes brought to Bertha to the total number of dishes multiplied by the money. Therefore:

Fraction of the money should go to Bertha =  dishes brought by Bertha/total dishes

Fraction of the money should go to Bertha = 3/7 × money

Relative humidity tends to be highest during the early morning hours, shortly before sunrise.

To determine the Wet-Bulb Temperature (WBT) and Wet-Bulb Depression (WBD), we need the dry-bulb temperature (DBT) and relative humidity (RH) values.

The Wet-Bulb Temperature (WBT) is the lowest temperature that can be achieved by evaporating water into the air at constant pressure, while the Wet-Bulb Depression (WBD) is the difference between the dry-bulb temperature (DBT) and the wet-bulb temperature (WBT). These values are useful in determining the potential for evaporative cooling and assessing heat stress conditions.

Day 1: Air Temperature= 86°F and RH= 60%

To calculate the WBT and WBD for Day 1, we would need additional information such as the barometric pressure or the dew point temperature. Without these values, we cannot determine the specific WBT or WBD for this day.

Day 2: Air Temperature= 41°F and RH= 90%

Similarly, without the necessary additional information, we cannot calculate the WBT or WBD for Day 2.

Regarding your question about the point during the day with the lowest and highest outside relative humidity values, it is generally observed that the relative humidity tends to be highest during the early morning hours, shortly before sunrise. This is because the air temperature often reaches its lowest point overnight, and as the air cools, its capacity to hold moisture decreases, leading to higher relative humidity values.

Conversely, the outside relative humidity tends to be lowest during the late afternoon, typically around the hottest time of the day. As the air temperature rises, its capacity to hold moisture increases, resulting in lower relative humidity values.

It's important to note that these patterns can vary depending on the local climate, weather conditions, and geographical location. Other factors such as wind patterns and nearby bodies of water can also influence relative humidity throughout the day.

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Explanation:

5 & 1/3 = 5 + 1/3 = 15/3 + 1/3 = 16/3

The mixed number 5 & 1/3 converts to 16/3

The fraction 16/3 means we have 16 copies of 1/3 added together, while 2/3 means we have 2 copies of 1/3. Note that 16/2 = 8 which tells us how many bags Taylor needs.

In other words, the solution to (2/3)*x = 16/3 is x = 8. This is the same as solving 2x = 16 after multiplying both sides by 3. Then we divide both sides by 2 to isolate x fully.

Answer:

A) 8inches long and 4 inches wide

Step-by-step explanation:

perimeter is the measurement of the outside of the shape. So for a quilt that'd be 2 lengths and 2 widths. 8+8=16 4+4=8, 16+8=24

Answer:

F=40

Step-by-step explanation:

you have to get rid of the five. What's the oposite of division? Mutiplaction, so you mutiply 5 times 8. The five cancels, and you are left with 40.

In the given equation y = 0.25x + 2, 0.25 represents (A) the daily growth of the plant.

An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values. as in 3x + 5 = 15, for example.

There are many different types of equations, including linear, quadratic, cubic, and others.

The three primary forms of linear equations are point-slope, standard, and slope-intercept.

So, the given equation is:

y = 0.25x + 2

Where x is the days and y is the height.

Now, if we observe the equation, 2 is the height of the plant on day one from where the recording started.

we already know that x is the day and y is the height.

Then, 0.25 will be the growth of the plant each day.

Therefore, in the given equation y = 0.25x + 2, 0.25 represents (A) the daily growth of the plant.

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Answer:

$135

Step-by-step explanation:

$36 / 8hrs = $4.5

$4.5 x 30hrs = 135

hope this helps :)

The congruence theorem that can be used to prove triangle ABC congruent to triangle XYZ is SAS (Side-Angle-Side) theorem. This theorem states that if two sides and the included angle of one triangle are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent.

In this case, to prove triangle ABC congruent to triangle XYZ using the SAS theorem, you need to show that side AB is congruent to side XY, side BC is congruent to side YZ, and angle B is congruent to angle Y. Once you have proven these three criteria, you can conclude that triangle ABC is congruent to triangle XYZ using the SAS theorem.

To summarize, the congruence theorem that can be used to prove triangle ABC congruent to triangle XYZ is the SAS theorem, which requires showing congruence of two sides and the included angle. By satisfying these criteria, you can conclude that the two triangles are congruent.

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A parallelogram is a quadrilateral with four sides. The opposite sides of the parallelogram are equal and parallel.

The parallelogram is a quadrilateral with equal and parallel sides, such that the interior angles present on the same side of the transversal are supplementary.

The sum of supplementary angles is equal to 180-degrees. From the theorem of same-side interior angles, the supplementary angles present on the parallel lines must be intersected by a transversal.

From the property of transversal, the interior angles on the same side of the transversal are supplementary. Therefore, ∠A and ∠D are supplementary and their sum is equivalent to 180-degrees.

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Answer:

D    Supplementary   BC    D

Step-by-step explanation:

did on edgu 2022 !!

With a 20% discount, Donna paid a total of $160.00 for the blouse, jeans, and sweater at the mall. Before the discount, the total purchase price for the three items was $200.00.

To calculate the discounted price, we need to find 20% of the original price and subtract it from the total.

20% of $200.00 is calculated as:

20/100 * $200.00 = $40.00

Subtracting the discount of $40.00 from the original price:

$200.00 - $40.00 = $160.00

Therefore, Donna paid a total of $160.00 for the blouse, jeans, and sweater after the 20% discount was applied.

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Answer:

its d

2.52x

3.40

____

0.00+

1.080+

7.5600

______.

8.658

Answer:

D. 8.568

Step-by-step explanation:

A quick tip is ignore the decimal points and just multiply, (which they already did for you) then add the decimal how many ever points forward the two multiples are combined.

So for 8568, since you have 2 . 52 3 . 4 you take it 3 points forward to right between the 8 and 5 for 8.568....

Also, just a word of advice, 4*4 is 16 so the answer couldn't be higher than 16, so A and C are wrong. B is actually switching the 6 and 5 so it's also wrong leaving only D

Answer:

8/16=16/24

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

first, let's find the midpoint of line TR.

((x1+x2)/2, (y1+y2)/2)

(4+8)/2= x-coordinate= 6

(-4+-4)/2=y-coordinate=-4

(6,-4) is the point of A

now, use the distance formula for U (5,-6) and A (6,-4)

d= sqrt (x2-x1)^2 + (y2-y1)^2

d= sqrt (6-5)^2 + (-4-(-6))^2

d= sqrt (1+4)

d= sqrt 5

C. sqrt 5

Answer:

I am not sure what I am supposed to be answering here

Answer:

the answer is 10 teehee

Step-by-step explanation:

Answer:  123.3364311 degrees approximately

Round that value however your teacher instructs.

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Explanation:

Use the law of cosines to find side b

\(b^2 = a^2 + c^2 - 2*a*c*\cos(B)\\\\b^2 = 43^2 + 19^2 - 2*43*19*\cos(35)\\\\b^2 \approx 871.5055596\\\\b \approx \sqrt{871.5055596}\\\\b \approx 29.521273\\\\\)

Now use the law of sines to find angle A.

\(\frac{\sin(A)}{a} = \frac{\sin(B)}{b}\\\\\frac{\sin(A)}{43} \approx \frac{\sin(35)}{29.521273}\\\\\sin(A)\approx 43*\frac{\sin(35)}{29.521273}\\\\\sin(A) \approx 0.8354581\\\\A \approx \sin^{-1}(0.8354581) \text{ or } A \approx 180-\sin^{-1}(0.8354581)\\\\A \approx 56.6635689^{\circ} \text{ or } A \approx 123.3364311^{\circ}\\\\\)

Due to the side angle side (SAS) congruence theorem, we know that only one triangle is possible (notice angle B is between sides 'a' and c). This means only one of those values for angle A is possible.

The question is: Which one?

Well if you were to use the converse of the pythagorean theorem, then you'll find that the triangle is obtuse.

For any obtuse triangle, the longest side is always opposite the obtuse angle (aka the angle over 90 degrees). The side a = 43 is the longest side of this particular triangle.

This means angle A must be obtuse and the only possibility is that angle A = 123.3364311 degrees approximately.

The area of the shaded region in this problem is given as follows:

995.44 cm².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is given as follows:

r = 21 cm.

Then the area of the entire circle is given as follows:

A = π x 21²

A = 1385.44 cm².

The right triangle has two sides of length 39 cm and 20 cm, hence it's area is given as follows:

A = 0.5 x 39 x 10

A = 390 cm².

Then the area of the shaded region is given as follows:

1385.44 - 390 = 995.44 cm².

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The amount of each quarterly payment, rounded, for a $30,000 loan with a 6% annual interest rate to be paid off in 10 equal quarterly payments is $2,803 (option B).


To calculate the amount of each quarterly payment, we need to use the formula for calculating the equal payments on an installment loan. In this case, the loan amount is $30,000, the annual interest rate is 6%, and the loan term is 10 quarters.

Using the formula, we can determine that the amount of each quarterly payment is approximately $2,803. This amount is rounded to the nearest whole number, as specified in the question. Therefore, option B, $2,803, is the correct answer. The other options (A, C, and D) are not applicable to the calculation based on the given information.

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Given that John climbs a height of \($(x + 5)$\) miles in \($(x - 1)$\) hours and Jane climbs a height of \($(x + 11)$\) miles in \($(x + 1)$\) hours. We know that the distance covered by both John and Jane are equal.

Distance covered by John = Distance covered by Jane

Therefore, \($(x + 5) = (x + 11)$\)

Thus, x = 6

Now, we need to find the speed of both, which is given by the formulae:

Speed = Distance / Time

So, speed of John = \($(x + 5) / (x - 1)$\) Speed of John =\($11 / 5$\) mph

Similarly, speed of Jane = \($(x + 11) / (x + 1)$\)

Speed of Jane = \($17 / 7$\) mph

Since both have to be equal, Speed of John = Speed of Jane Therefore,

\($(x + 5) / (x - 1) = (x + 11) / (x + 1)$\)

Solving this equation we get ,x = 2Speed of John = \($7 / 3$\) mph

Speed of Jane = \($7 / 3$\) mph

Thus, their speed was \($7 / 3$\) mph.

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10

The attached figure shows all the cases and counts for at least as many blue as green. The resulting ordered pairs are ...

 (6, 0), (6, 2), (6, 4), (5, 3), (5, 5), (3, 3)

For at least as many green as blue, the numbers are reversed. That means there are a total of 10 possible ordered pairs:

 (6, 0), (6, 2), (6, 4), (5, 3), (5, 5), (3, 3), (3, 5), (4, 6), (2, 6), (0, 6)

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers.

When both the corresponding first and second elements in two ordered pairs are equal, two ordered pairs are said to be equal. For instance: A and B are two ordered pairs, and (c, d). If (a, b) = c and (b, d), they are equivalent (c, d).

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Given data:Width of flume (B) = 3 mDepth of flume (D) = 1.5 mChezy’s constant (C) = 0.013Slope of the bed (S) = 0.0025We know that,Q = (1/C) * A * R^(2/3) * S^(1/2)

Where,Q = Discharge of rectangular flumeA = Area of cross-sectionR = Hydraulic radiusS = Slope of the bedCalculation:Area of cross-section, A = B * D = 3 * 1.5 = 4.5 m²Wetted perimeter, P = B + 2 * D = 3 + 2 * 1.5 = 6 mHydraulic radius,

R = A / P = 4.5 / 6 = 0.75 mSubstituting the given values,Q = (1 / 0.013) * 4.5 * 0.75^(2/3) * 0.0025^(1/2)Q = 0.796 m³/sBoundary shear stress, τo = ρ * g * R * Sρ = Density of water = 1000 kg/m³g = Acceleration due to gravity = 9.81 m/s²Substituting the given values,τo = 1000 * 9.81 * 0.75 * 0.0025τo = 18.23 N/m²

The discharge of a rectangular flume 3 m wide and 1.5 m deep on a slope of 0.0025 is 0.796 m³/s and the boundary shear stress is 18.23 N/m².

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Answer:

- 3c² + c + 3

Step-by-step explanation:

We wish to evaluate

5(2c - 3c²) - 3(- 4c² + 3c - 1) ← distribute both parenthesis

= 10c - 15c² + 12c² - 9c + 3 ← collect like terms

= - 3c² + c + 3

A data point that is far from the mean of both the x's and y's is referred to as an outlier.

Outliers are data points that are significantly different from the rest of the data points in a dataset. They can be the result of measurement error, recording errors, or simply represent a different population from the main data.

Outliers can have a significant impact on the results of statistical analysis, including regression analysis, which uses the relationship between two variables (x's and y's) to make predictions. If a data point is far from the mean of both x's and y's, it can distort the regression line, leading to incorrect conclusions about the relationship between the variables.

Therefore, it is important to identify and handle outliers appropriately in statistical analysis, such as removing them, transforming the data, or using robust statistical methods that are less sensitive to outliers. The appropriate handling of outliers depends on the nature of the data and the research questions being addressed.

Therefore, a data point that is far from the mean of both the x's and y's is referred to as an outlier.

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