Find the values of x and y that make DEFG a parallelogram

Find The Values Of X And Y That Make DEFG A Parallelogram

Answers

Answer 1

x = 13 (option A), y = 22 (option D)

Explanation:

In a parallelogram, the opposite angles are equal

∠G = ∠E

∠D = ∠F

Also any two adjacent angles are supplementary:

∠G + ∠F = 180

∠D + ∠E = 180

∠G = 128, ∠F = 52, ∠D = 4x, ∠E = 6y - 4

∠G = ∠E

128 = 6y - 4

solve for y:

128 + 4 = 6y

132 = 6y

divide both sides by 6:

132/6 = 6y/6

y = 22

∠D = ∠F

4x = 52

divide both sides by 4:

x = 52/4

x = 13

x = 13 (option A), y = 22 (option D)


Related Questions

7 7/8 - 3 1/4 =? What’s the answer

Answers

Answer:

4 5/8

Step-by-step explanation:

7 7/8= 63/8

3 1/4= 13/4= 26/8

63/8 - 26/8= 37/8

37/8= 4 5/8

Mr. Li and Ms. Brown both sell used cars. Mr. Li sells a car for $9950 and earns $447.75 commission. Ms. Brown sells a car for $10,300 and earns $453.20 commission. Who eams a greater commission
rate?

Answers

Answer:

Mr. Li

Step-by-step explanation:

$447.75 is 4.5% of $9,950 - Mr. Li earns a 4.5% commission

$453.20 is 4.4% of $10300 - Ms. Brown earns a 4.4% commission

Linear Inequalities
Anderson's Entertainment Bus Company charges a $19.95 flat rate for a party bus. In addition to that,
they charge $1.75 per mile. Chenelle has no more than $300 to spend on the party bus. At most, how
many miles can Chenelle travel without exceeding her spending limit?

Answers

Chenelle can travel at most 160 miles without exceeding her spending limit of $300.

We have,

To determine the maximum number of miles Chenelle can travel without exceeding her spending limit of $300, we need to subtract the flat rate from her budget and divide the remaining amount by the cost per mile.

So,

Subtract the flat rate from Chenelle's budget:

Budget after subtracting the flat rate.

= $300 - $19.95

= $280.05

Divide the remaining budget by the cost per mile to find the maximum number of miles:

Maximum miles = Budget after subtracting the flat rate / Cost per mile

= $280.05 / $1.75

Using division.

Maximum miles = 160.028571

Therefore,

Chenelle can travel at most 160 miles without exceeding her spending limit of $300.

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The base of the mountain is 6,500 feet above sea level and AB measures 230 feet across. Given that the measurements for QAP is 20° and QBP is 35°, how far above sea level is peak P ? Express your answer to the nearest foot.

Height above sea level:

The base of the mountain is 6,500 feet above sea level and AB measures 230 feet across. Given that the

Answers

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

basta
= mini
Write a system of
inequalities:
3. Graph the system: 10
4. List 2 possible
combinations:
4. Emma is buying new herbs for her garden. Basil plants cost $5 each and mint plants cost
$10 each. She wants to buy at least 9 plants but cannot spend more than $70. Write and solve
a system of linear inequalities that shows all possible combinations of the plants Emma could
purchase.
. Identify the variables:

Answers

x+y≥9, 5x+10y≤70 and x≥0 and y ≥ 0 are the required system of linear inequalities that shows all possible combinations of the plants Emma could purchase.

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Emma is buying new herbs for her garden

Basil plants cost $5 each and mint plants cost $10 each.

She wants to buy at least 9 plants but cannot spend more than $70.

Let x represents the number of Basil plants

y represents the number of mint plants

x+y≥9

5x+10y≤70

x≥0 and y ≥ 0

Now x=9-y

5x+10y≤70

5(9-y)+10y=70

45-5y+10y=70

45+5y=70

Subtract 45 on both sides

5y=70-45

5y=25

Divide both sides by 5

y=5

x+5=9

x=4

Hence, x+y≥9, 5x+10y≤70 and x≥0 and y ≥ 0 are the required system of linear inequalities that shows all possible combinations of the plants Emma could purchase.

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Please gimme the variables to define the sytem and 2 system of equations

Please gimme the variables to define the sytem and 2 system of equations

Answers

Answer:

\(8.5x+4y=99.5,\ x+y=17\)

Step-by-step explanation:

\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)

Y+2=-(x+4) in slope intercept form

Answers

Answer:

y=-x-6

Step-by-step explanation:

First, you have to distribute the - that is outside the parentheses. That leaves you with -x-4. So now your equation is y+2=-x-4. You want the y by itself so you subtract two from both sides leaving you with y=-x-4-2, which adds up to y=-x-6.

write two properties of Zero​

Answers

Answer:

the addition properties of zero and multiplication properties of zero

zero is even, not odd not neutral.

zero is neither positive or negative.

ezra uses his bank account to buy gasoline for his car 3 times. each time he buys gasoline, it costs $18.50

Answers

Answer:

$55.30

Step-by-step explanation:

you multiply the cost of gas by howmany times he has bought gas.

SUSTAINIBILTY COUNTS! ENERGY CHALLENGE WHAT TO DO: COMPARITIVE STUDY OF CONSECUTIVE ELECTRIC BILLS o of post summer break with all calculations.

SUSTAINIBILTY COUNTS! ENERGY CHALLENGE
WHAT TO DO: COMPARITIVE STUDY OF CONSECUTIVE ELECTRIC BILLS HOW TO DO: 1) Examine your electricity bills of pre summer break.
2) List the various electrical appliances used in your home.
3) Find out the power consumption, duration for the device in use.
Do estimate calculation of your bills as per power consumption.
4) Make an energy reduction plan and determine how far you could implement it.
5) Re – examine your electricity bill of post summer break with all calculations.
6) WRITE your reduction plan & change in the bill. ​

Answers

Given statement solution is :-

1) Gather your electricity bills from the period before the summer break.

2) Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

3) Research or locate the power consumption information for each appliance.

4) Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

5) After the summer break, collect your electricity bill for the corresponding period.

6) Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

To conduct a comparative study of consecutive electric bills and analyze the impact of a reduction plan, you can follow the steps below:

Examine your electricity bills of pre-summer break:

Gather your electricity bills from the period before the summer break.

Look for details such as total energy consumption (in kilowatt-hours or kWh), billing period, and the cost per unit of electricity.

List the various electrical appliances used in your home:

Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

Find out the power consumption and duration for each device in use:

Research or locate the power consumption information for each appliance.

This information is typically provided on the appliance itself or in the user manual.

Note down the power rating of each device in watts (W) or kilowatts (kW).

Estimate the average duration each device is used daily in hours (e.g., 2 hours for a television, 8 hours for a refrigerator).

Calculate the estimated electricity consumption and cost:

Multiply the power rating (in kW) of each device by its average daily usage (in hours) to find the daily energy consumption (in kWh).

Multiply the daily energy consumption by the number of days in the billing period to get the total energy consumption for that period.

Multiply the total energy consumption by the cost per unit of electricity to calculate the estimated cost for each appliance.

Sum up the estimated costs for all appliances to get the total estimated electricity bill.

Make an energy reduction plan and determine implementation:

Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

Unplugging devices when not in use.

Determine the feasibility of implementing these energy reduction measures in your home.

Re-examine your electricity bill of post-summer break:

After the summer break, collect your electricity bill for the corresponding period.

Calculate the actual energy consumption and cost using the same method as in step 4.

Compare the actual post-summer break bill with the estimated pre-summer break bill.

Note any changes in energy consumption and cost, and analyze the effectiveness of your energy reduction plan.

Document your reduction plan and changes in the bill:

Write a report summarizing your findings and observations.

Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

By following these steps, you can conduct a comparative study of consecutive electric bills, analyze the effectiveness of your energy reduction plan, and track changes in energy consumption and costs.

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what is 3 times larger than 7

Answers

Answer:

21

Step-by-step explanation:

because 7 x 3 is 21

aka:7 + 7 +7

WILL MARK BRAINLIEST Determine if each of the following are direct (D), Inverse (I), or neither (N). On the first blank, write the letter that corresponds with the variations. In the second blank, write the constant of variations. If the function doesn't have a constant of variations than leave the second blank empty. (PLEASE REFER TO PICTURE)

WILL MARK BRAINLIEST Determine if each of the following are direct (D), Inverse (I), or neither (N).

Answers

Answer:

A is neither, B is direct, and C is inverse

Step-by-step explanation

In B, as x increases y also increases, in C as x increases y decreases, and in A it's neither because it's not one line (if you graphed it you would understand what I mean).  Though I have no idea what is constant of variations.

A rectangle has vertices at these coordinates.
(0, 8), (5, 8), (5, 0)
What are the coordinates of the fourth vertex of the rectangle?
Enter the coordinates in the boxes.

Answers

Answer:

Step-by-step explanation:

(0,0)

i hope this helps

Which is the better buy?
4-pack of light bulbs for $6.84
Or
9-pack of light bulbs for $15.66

Answers

Answer:

The 9 pack is cheaper.

Step-by-step explanation:

A pack of 9 for $15.66 would cost 57 cents per bulb.

A pack of 6 for $6.84 would cost 87 cents per bulb.

The 9 pack would be cheaper to buy.

Hope this helps!

What is the slope of the line?

What is the slope of the line?

Answers

Answer:

-1.5

Step-by-step explanation:

Caroline scored 85, 88 and 89 on three of her
four tests. If her average score for all tests, what
did she score on her fourth test?

Answers

Answer:

What is the average score?

Step-by-step explanation:

If it was 84.5, then the missing number is 86

if it was 84.75, then the missing number is 87

If you tell me what the average is, i'll tell u the right answer in case it's not here.

Let me know if my answer is right

Answer:

It depends on the average score

Step-by-step explanation:

what is the average score ? put it in the comments and i will answer it in the comments

can i get Brainliest???

Find two square numbers that total 45

Answers

9 and 36. First, a square number is what you get when u multiply a number by itself, which means that the square root of a square number will equal a whole number. If you add up 9 and 36 you get 45.
3 and 6

x^2+^2=45
if ×=3 and y=6
then 9+36=45

what is 3/2 divided by 1/8

helppp​

Answers

Answer: 12

Step-by-step explanation:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

What is the end behavior of the polynomial function?
Drag the choices in to the boxes to correctly describe the end behavior of the function.

What is the end behavior of the polynomial function?Drag the choices in to the boxes to correctly describe

Answers

The end behaviours of the functions are

f(x) = 6x⁹ - 6x⁴ - 6: As x ⇒ +∝, f(x) ⇒ +∝ and as x ⇒ -∝, f(x) ⇒ -∝f(x) = -3x⁴ - 6x + 4x - 5: As x ⇒ +∝, f(x) ⇒ -∝ and as x ⇒ -∝, f(x) ⇒ -∝

How to determine the end behaviours of the functions?

Function 1

The equation of the function is given as

f(x) = 6x⁹ - 6x⁴ - 6

Calculate f(∝) and f(-∝)

So, we have

f(∝) = 6(∝)⁹ - 6(∝)⁴ - 6

Evaluate

f(∝) = ∝ - ∝ - 6

So, we have

f(∝) = ∝

Also, we have

f(-∝) = 6(-∝)⁹ - 6(-∝)⁴ - 6

Evaluate

f(-∝) = -∝ - ∝ - 6

So, we have

f(∝) = -∝

This means that

As x ⇒ +∝, f(x) ⇒ +∝ and as x ⇒ -∝, f(x) ⇒ -∝

Function 2

The equation of the function is given as

f(x) = -3x⁴ - 6x + 4x - 5

Evaluate the like terms

f(x) = -3x⁴ - 2x - 5

Calculate f(∝) and f(-∝)

So, we have

f(∝) = -3(∝)⁴ - 2(∝) - 5

Evaluate

f(∝) = -∝ - ∝ - 5

So, we have

f(∝) = -∝

Also, we have

f(-∝) = -3(-∝)⁴ - 2(-∝) - 5

Evaluate

f(∝) = -∝ + ∝ - 5

So, we have

f(∝) = -∝

This means that

As x ⇒ +∝, f(x) ⇒ -∝ and as x ⇒ -∝, f(x) ⇒ -∝

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What binomial must be subtracted from ( 6 r − 4 ) so that the difference of the 2 polynomials is ( 2 r + 13 ) ?

Answers

(6r-4)=(8r+9)
6r=(8r+9)+4
6r=8r+13
0=8r-6r+13
2r+13

Name an acute angle and give its measure.
Angle: ______ Measure: _____

Name an obtuse angle and give its measure. (2 points)
Angle: _____ Measure: _____

Name one right angle. (1 point

Name one straight angle. (1 point)

Name an acute angle and give its measure. Angle: ______ Measure: _____ Name an obtuse angle and give

Answers

11. Angle KEF = 40°, Angle KEJ = 50°

12. Angle HEF = 115°, Angle KED = 140°

13. Angle JEF = 90°, Angle KEF = 90°

14.   Angle DEF = 180°

Define the term geometry?

The study of points, lines, and shapes in two and three dimensions, as well as their properties and relationships, is the focus of the mathematical discipline known as geometry.

11.  Acute angles: Those angles are less than 90 degree angles.

     Angle KEF = 40°

     Angle KEJ = 50°

     Angle KEH = 75°

     Angle JEH = 25°

     Angle HED = 65°

12. Obtuse angles: Those angles are more than 90 degree angles.

     Angle HEF = 115°

     Angle KED = 140°

13. Right angle: Those angles are 90 degree angle.

     Angle JEF = 90°

     Angle KEF = 90°

14. Straight angle: Those angles make 180 degree angle.

     Angle DEF = 180°

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Which expression is equivalent to -3(y-5)
A. -3y-4
B -3y+4
C. -3y-12
D -3y+12​

Answers

Answer:

neither when you multiply them you get -3y+15 not 12

hope this helps

have a good day :)

Step-by-step explanation:

Tyreese is using algebra tiles to solve the equation below.

2 x + 5 = negative x + (negative 1)

Tyreese’s first step is to
remove one x-tile from both sides.
remove two x-tiles from the left side.
add one positive x-tile to both sides.
add two positive x-tiles to both sides.

Answers

\(2x + 5 = - x + ( - 1)\)

\(2x + 5 = - x - 1\)

Add both sides x

\(2x + 5 + x = - x - 1 + x\)

\(3x + 5 = - 1\)

Subtract both sides 5

\(3x + 5 - 5 = - 1 - 5\)

\(3x = - 6\)

Divide both sides by 3

\( \frac{3x}{3} = \frac{ - 6}{3} \\ \)

\(x = - 2\)

______________________________

As u can see the first step is to :

Add one positive x-tile to both sides

Answer:

Add one positive x-tile to both sides

Step-by-step explanation:

edge

Students at Sunnyvale Middle School volunteered to work a 2-hour shift at a
car wash fundraiser. The table shows the number of people who worked each
shift and how many cars they washed.
Is the relationship between the number of
cars washed and the number of workers
proportional? Complete the statement.
The number of cars washed per person
?
of workers, so the relationship is
the same for each number
?
People Working
4
6
8
10
Cars Washed
8
12
20
25

Answers

The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.

What is a proportional relationship?

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The ratios between the output and the inputs are given as follows:

8/4 = 2.12/6 = 2.20/8 = 2.5.25/10 = 2.5.

Different ratios, hence the relationship is not proportional.

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I NEED THIS RIGHT NOW PLEASE IMAGE BELOW I WILL GIVE BRAINLIEST

I NEED THIS RIGHT NOW PLEASE IMAGE BELOW I WILL GIVE BRAINLIEST

Answers

Answer:

35

Step-by-step explanation:

The range is found by taking the largest number and subtracting the smallest number

The largest number is 38

The smallest number is 3

38-3 = 35

Desperate Need Of Help

Desperate Need Of Help

Answers

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

What is a domain?

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Question 2/10 find the volume in innches3

Question 2/10 find the volume in innches3

Answers

Answer:

4×4×4 =

16×4=

64 in^3(cu.in)

An interior angle of a regular polygon has a measure of 108°. What type of polygon is it?

Answers

Answer:

Polygon is pentagon

Step-by-step explanation:

In a regular polygon each angle is equal.

In a regular polygon Each angle of polygon is given by (2n-4)90/n

where n is the number of sides of the polygon

given

An interior angle of a regular polygon has a measure of 108°.

(2n-4)90/n = 108

=> 180n - 360 = 108n

=> 180n-108n= 360

=> 72n = 360

=> n = 360/72 = 5

Thus, polygon has 5 sides

and we know that regular polygon which has 5 sides is called pentagon.

Thus, Polygon is pentagon

Într-un cimitir există 7 chiparoși și 288 tufe de tuia. La fiecare mormânt există cel puțin o tufă de tuia. Numărul celor cu două tufe este de trei ori mai mare de cât al celor cu trei tufe și de cinci ori mai mic decât al celor cu o singură tufă. Câte morminte sunt

Answers

Answer:

A cumparat 5 prajituri cu vanilie si 7 cu ciocolata.

Step-by-step explanation:

Someone help ASAP pls helph​

Someone help ASAP pls helph

Answers

Answer:

103

Step-by-step explanation:

For any Triangle, The Sum of Interior Angles = 180°

So, For Triangle ABC ---> m∠A + m∠B + m∠C = 180°

By Substituting by the Givens m∠A =68 and m∠B=9

68 + 9 + m∠C = 180

77+ m∠C=180

Subtract 77 from both Sides

m∠C=180-77=103°

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