Help!!!!!! Find x and y so the quadrilateral is a parallelogram.

Help!!!!!! Find X And Y So The Quadrilateral Is A Parallelogram.

Answers

Answer 1

Answer:

Conclusion:

The value of x = 7The value of y = 4

Step-by-step explanation:

Given

The parallelogram PQRS

We know that the diagonals of a parallelogram bisect each other.

Therefore,

RT = TP

Given RT = x and TP = 5x-28, so

x = 5x-28

5x = x+28

5x-x = 28

4x = 28

divide boh sides by 4

4x/4 = 28/4

x = 7

Thus, the value of x = 7

Similarly,

QT = TS

Given QT = 5y and TS = 2y+12, so

5y = 2y+12

5y-2y = 12

3y = 12

divide both sides by 3

3y/3 = 12/3

y = 4

Thus, the value of y = 4

Conclusion:

The value of x = 7The value of y = 4

Related Questions

What is the equation of a line that is parallel to 2x +3y = 3 and passes through the point (3, -4) ?

Answers

Answer:

2x + 3y = -6

Step-by-step explanation:

The equation of the new line will be identical to that of the given line except that the constant term will differ.

Start with the given 2x + 3y = 3 and replace x with 3 and y with -4.  We get:

2(3) + 3(-4) = C, and C = 6 - 12 = -6

The equation of the new line is therefore 2x + 3y = -6

HELP NEEDED HELP NEEDED!

Answers

I think it is j but I do not now

Answer:

G. 8.625 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of first rectangle:

1.5 × 2.5 = 3.75 ft

Area of second rectangle:

1.5 × 2.5 = 3.75 ft

Area of triangle:

1.5 × 1.5 = 2.252.25 ÷ 2 = 1.125

Put them together:

3.75 + 3.75 + 1.125 = 8.625 [tex]ft^{2}[/tex]  

I hope this helps!

A company has offices in 3 different cities and a rotal of 480 workers there are 90 workers in newyork and 130 workers in denver the rest of the workers are in san diego

Answers

Answer:

Workers in San Diego = 260 workers

Step-by-step explanation:

Total workers = 480

Number of offices = 3

In each office in different cities

New york = 90 workers

Denver = 130 workers

San Diego = x workers

Find x

Total number of workers = workers in New York + workers in Denver + workers in San Diego

480 = 90 + 130 + x

480 = 220 + x

480 - 220 = x

260 = x

x = 260 workers

Workers in San Diego = 260 workers

Answer:

Step-by-step explanation:

250

Help 39 point pic below Math

Answers

Step-by-step explanation:

Remember the Difference of Squares:

a² - b² = (a + b)(a - b)

Therefore (√20 - √3)(√20 + √3)

= (√20)² - (√3)² = 20 - 3 = 17. (C)

Please help I’m confused also if you can’t see it just click on the picture.

Answers

Find the slope: change in y over change in x:

Slope = 30 - -5/ 6- -1 = 35/7 = 5

Find y intercept (the y value when x is 0)

Y = 5(0) = 0

There is no y intercept

The function rule would be:

Y = 5x

Lisa says the factors of 18 are 1, 2, 3, 6, and 9. Is Lisa correct?

A.
Yes, she is correct.

B.
No, Lisa forgot the factor 4.

C.
No, Lisa forgot the factor 8.

D.
No, Lisa forgot the factor 18.

Answers

Answer:

I think the Answer is ( B. No Lisa forgot the factor 4.)

Step-by-step explanation:

A car rental company’s standard charge includes an initial fee plus an additional fee for each mile driven. the standard charge S (in dollars) is given by the function S = 0.40M +18.95, where M is the number of miles driven.
The company also offers an option to ensure the car against damage. The insurance charge I (in dollars) is given by the function I= 0.15 M + 5.70
Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.
C=
What does ac equal?? ^^

Answers

Answer:

C=0.55M+24.65

Step-by-step explanation:

0.40M+0.15M=0.55M

18.95+5.70=24.65

Hey can yall help me with this question thank you

Answers

Step-by-step explanation:

a. 2x+5

b. 3x+5

c. 5x+4

i hope it will help you

lines m and n are parallel. what is the measure of angle 4?
a) 25 degrees
b) 55 degrees
c) 115 degrees
d) 145 degrees

Answers

it is B because 180-125 is equal to 55
The answer is B. 55 degrees

HElp PLZ DUE RIGHT KNaw

Answers

Answer:

variables :)

Step-by-step explanation:

Answer:

[tex]....8. \to \: b) \: \: 3 \\......................9. \to \: c) \: coefficients \\............... 10. \to \: d) \: variables[/tex]

A real estate agency an agent salty house for 313,000. The commission rate is 4.5 for the real estate agency in the commission rate for the agent is 20% of the amount the real estate agent gets. How much did the agency make on the house? How much did the agent earn in comission

Answers

Answer:

313000/100 X 4.5 = 14085

14085/100 X 20 = 2817

14085 - 2817 = 11268

agency = 11268

agent = 2817

Find the average rate of change
f(x)=x^2−6x+8 when x2=1 and x1=3

Answers

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

Given function is:

[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]

In order to find the rate of change, we have to find the value of function on x1 and x2

So,

[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]

The formula for finding the rate of change is:

[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

Putting the values, we get

[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]

Hence,

Average rate of change for given function is: -2

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

12. Why is the Yellow River also known as "China's Sorrow?"
A. There have been many devastating floods on its banks.
B. Many ancient Chinese were killed by the Mongols there.
C. Many ancient Chinese were killed in a major battle there.
1. D. Many people drowned in the river.

Answers

Answer:

A

Step-by-step explanation:

;)

A bridge spans a distance of 1012m. Large cables are attached to the tops of the towers, 45 m above the road. The road is suspended from the large cables by many smaller vertical cables. The smallest vertical cable measures about 1.5m. Determine a quadratic equation for the large cables.

Answers

Answer:

A quadratic equation for the large cables is [tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]

Step-by-step explanation:

The shape of the quadratic equation representing the large cables is a parabola

Taking the point of the smallest vertical cables as the vertex, (h, k) with coordinates, (0, 1.5), we have;

h = -b/(2·a)

∴ 0 = -b/(2·a), from which we have, b = 2·a × 0 = 0

k = 1.5 = c - (b²/(4·a) = c - (0/(4·a)) = c

∴ c = 1.5

The standard form of the quadratic equation, a·(x - h)² + k is therefore, given as follows;

f(x) = a·(x - 0)² + 1.5 = a·x² + 1.5

At the towers which are on either side of the bridge, when x = 1012/2 = 506, f(x) = y = 45

Therefore, we have;

45 = a·506² + 1.5

a = (45 - 1.5)/506² = 87/512072 ≈ 1.699 × 10⁻⁴

The quadratic equation for the large cables, f(x), can therefore be presented as follows;

[tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]

Step by step explanation

Answers

Answer: x = 4

Step-by-step explanation:

   x/2=10/5

Multiply both sides of the equation by 2.

2⋅  x/2 = 10 /5 ⋅ 2

Simplify both sides of the equation.

Cancel the common factor of 2.

Rewrite the expression.

x= 2 ⋅ 10/5

Divide 10 by 5.

x= 2 ⋅ 10/5

Multiply 2 by 2.

x = 2 ⋅ 2

x = 4

please give brainiest :)

Find the value of x

Answers

Step-by-step explanation:

By Exterior Angle Theorem, the sum of the 2 inner angles of the triangle is equal to the exterior angle by a straight line.

Therefore we have x + 72° = 90° + 34°.

=> x + 72° = 124°, x = 52°.

Hence the value of x is 52°.

The value of x would be 52 degrees

Hope this helps

Have a great day/night

Jimmy is eating appetizers that have 120 calories each. He only plans to eat 550 calories overall.
Write an inequality and determine the most appetizers he can eat without exceeding the limit.

Answers

Answer:

4

Step-by-step explanation:

Jimmy is eating appetizers that

have 120 calories each. He only

plans to eat 550 calories overall.

Write an inequality and determine

the most appetizers he can eat

without exceeding the limit.

He can eat 4.

Which statement about these triangles is true?​

Answers

The statement that is true is the preimage


HURRY I NEED THIS IN 20 mins please help me

Write an equation for the function g whose graph is the graph off
f(x) = -100(1.05)
translated to the right 5 units and up 50 units.

Answers

Answer:

f(x) = -100(1.05)^(x+5) + 50

Step-by-step explanation:

Here, we want to write an equation that represents the transformation

5 units right means 5 units on the positive x-axis

50 units up means we add this to the total y value

So the resulting equation will be;

f(x) = -100(1.05)^(x+5) + 50

Which of the following is not a geometric tool?

A.Compass
B.Pen
C.Protractor
D.Set Squares

Answers

Answer:

C. Protractor

Answer:

A

Step-by-step explanation:

A compass is for directions.

x + y > -3
how do I find the ordered pair and a solution to this inequality ​

Answers

Answer:

x>-3-y

Step-by-step explanation:

subtract y from both sides

A train moves at a constant speed. The train travels 13
miles in 7 hour. What is the train's speed in miles per
hour?

Answers

Answer:

1.86 Miles per hour

Step-by-step explanation:

13/7

PLEASEE HELP ASAP IM BEGGIMG YOUUUUUU
I WILL GIVE BRAINLIEST ASAP

Answers

Answer:

Below

Step-by-step explanation:

Problem 1

Blank 1 = 6

Blank 2 = 17

(5*3)+2

Blank 3 = 4

(4*1)

Problem 2

Blank 1= (-5)^3=-5*-5*-5=-125

Blank 2= 18

(6*3)

Blank 3= 12

(4*3)

need help with this




just focus on what the question asks and not the background

Answers

Answer:

A

Step-by-step explanation:

a drop means subtraction and rising means addition

if there are 93 calories in 3/4 cups how many calories are in 1 cup

Answers

93 = 3/4
?? = 1
Cross multiple
1(93)/(3/4) = 124

Answer:

124

Step-by-step explanation:

Cross Multiply

(93x4)/3

Which graph has a slope of -3?

Answers

D.

Its the only one going down 3 and over 1.

The answer would be D because it says -3 and not just 3.

1/9x=5
solve for x
please show step by step

Answers

Answer:

x=1/45

Step-by-step explanation:

do the inverse

please mark it as brainliest!!<3

Which is the better value?

A. 6 ounces of hot Cheetos for $2.16
B. 10 ounces of hot Cheetos for $2.70

Answers

A. 6 ounces of hot cheetos

Answer:

B

Step-by-step explanation:

2.16/6 = 0.36 cents per 1 ounce

2.70/10 = 0.27 center per 1 ounce

Therefore B. 10 ounces of hot Cheetos for $2.70

In a certain​ chemical, the ratio of zinc to copper is 4 to 11 . A jar of the chemical contains 308 grams of copper. How many grams of zinc does it​ contain?

Answers

Answer: 82.3 g

Step-by-step explanation:Moles Cu = 300 g x 1 mol Cu/63.55 g = 4.72 moles Cu

Moles Zn = 4/15(4.72) = 1.26 moles

mass Zn = 1.26 moles x 65.38 g/mol =

Hey I need to survey 10 people who play video games so please answer or comment your answers down below :)
Survey ten people who play video games. Ask them these questions:

Why do you play video games?
What types of games do you play?
How long have you been playing video games?
How do you think video games will be played in the future?
Do you think video games will converge to a single platform in the future?
Thanks <3

Answers

Playing video games helps me if I have a rough time, I started around 2019. I play adventour type video games, not sure if raft counts, but that is a game I play too often with my friends. I think that video games probably could be played in cars as well but I dont know what else it can be or will be played on. Definitely will not be a single platform, people are too greedy everyone wants a better state then others. (not sure if that makes sense)

hope this helps :))

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A wheel of mass 50 kg has a radius of 0.4 m. It is making 480 rpm. What is thetorque necessary to bring it to rest in 40 seconds?Solution: What fraction is greater than -2/3 and less than -1/2A. -3/4 B. -7/12 C. -5/12 D. -3/8 Which statement puts the layers of the Earth in the correct order starting at the surface?A. inner core-outer core-mantle-asthenosphere-lithosphereB. mantle-inner core-outer core-lithosphere-asthenosphereC. lithosphere-asthenosphere-mantle-outer core- inner coreI'll give brainliest to whoever gets it right. I will give brainiest to whoever answers correctly !! *PLEASE ANSWER* Which statement is a good rule to follow when taking part in a poetry workshop?a.) Explain the reason behind each choice you made while writing.b.) Defend your own poem when its weaknesses are pointed out.c.) Keep the discussion focused on each poem, not the person who wrote it. Which two processes are responsible for the formation of fog? HURRY I NEED THIS IN 20 mins please help me Write an equation for the function g whose graph is the graph offf(x) = -100(1.05)translated to the right 5 units and up 50 units. Which graph has a slope of -3? lines m and n are parallel. what is the measure of angle 4?a) 25 degrees b) 55 degrees c) 115 degreesd) 145 degrees Explain the research of Stratton on perceptual adaptation. Giving brainliest for first right answer A company has offices in 3 different cities and a rotal of 480 workers there are 90 workers in newyork and 130 workers in denver the rest of the workers are in san diego What is the main organ of the cardiovascular system?Question 1 options:the lungsthe heartthe spleenthe liver What is the biggest obstacle to traveling by boat on the Congo River?A. the many cataractsB. the unusual path of the Congo RiverC. shallow areas due to droughtD. the river's narrow width 100 Points Please help From the Book To Kill A Mockingbird Compounds are made from the atoms of two or more______? 21. All bills start in a committee, but the ideas for them can begin elsewhere. Ideas for laws canstart in all of these places EXCEPT: *NEEDED FOR A TEST ASAPa.With the presidentb.With foreign leadersc.With regular US citizensd.With members of Congress Find the average rate of changef(x)=x^26x+8 when x2=1 and x1=3 The formula for the velocity of an object is v=d/t, where v is the velocity of an object, dis the distance traveled, and t is the time elapsed, while the distance is traveled. If you had only this formula to work with, what should your first step be in determining how long it takes for light to reach Earth from the Sun? What additional information do you need to calculate this? How many moles are 21.67 L of NH4CI?Type your answer...