For what values of x and y is PQRS a parallelogram?

Answer:

[tex]y =2[/tex]

[tex]x =3[/tex]

Step-by-step explanation:

Given

The attached parallelogram

Required

Find x and y

Opposite sides are equal

So:

[tex]PQ = SR\ and\ QR = PS[/tex]

This gives:

[tex]2y + 3 = y + 5[/tex] -- (1)

[tex]4x - 3 = 4y + 1[/tex] -- (2)

[tex]2y + 3 = y + 5[/tex]

Collect like terms

[tex]2y - y= 5 - 3[/tex]

[tex]y =2[/tex]

[tex]4x - 3 = 4y + 1[/tex]

Substitute [tex]y =2[/tex]

[tex]4x - 3 = 4 * 2 + 1[/tex]

[tex]4x - 3 = 9[/tex]

Collect like terms

[tex]4x = 3 + 9[/tex]

[tex]4x = 12[/tex]

[tex]x =3[/tex]

Based on your data, describe the relationship between age and the number of U.S. states a

person can name in 60 seconds.

I

Which investment would make you the most interest? Explain.

A: $450 at 7% for 10 years

B: $1,300 at 5% for 6 years

Erica And Amy started biking in opposite directions at the same time from the same place. Erica biked at a speed of 6 meters per second and Amy biked at a speed of 4 meters per second. How soon were they exactly one km apart?

Omg!? Is 96 correct??

Which point represents the reflection across the x-axis of the ordered pair (4,−5)?

Use the given information to find x

The midpoint of AB is M. If the coordinates of M are
(1/2, -2) and the coordinates of B are (6, 1), what are the coordinates of A?

find the missing angle measure

Find the total surface area of the number
cube.
2 in.
2 in.
2 in.

Free 50 Points.
(You don't really need to answer the question)
¯\_(ツ)_/¯
Find the answer for,
746x^97 - 3465 * 3742 + 2345

The age of a father is two less than seven times the age of his son in two years the sum of their ages will be 57 if the son's present ages S years which equation models the situation

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

what is 1/3 of 2/4?

On Monday, the high temperature in Abilene was 75.6 degrees Fahrenheit and the high temperature in New York City was 54 degrees Fahrenheit. How many times greater was the high temperature in Abilene than the high temperature in New York on Monday?

I need help with this please​

can someone help me please

a gift box has the shape of a cube. the length of each side is 10.5 cm. what is the volume of the gift box?

Although traffic fatalities have been decreasing for years, this decrease has not been experienced equally in all segments of the population. In fact, although the overall rate of traffic fatalities has been decreasing, the rate has declined the most for those with more education and has actually gone up for those without high school degrees. A recent study shows that among those over 25, as education level increased from less than high school, to high school grad, to some college, to college grad, the rate of motor vehicle crash deaths decreased.
1) What are the explanatory and response variables? Drag each variable to the appropriate column
1. Rate of motor vehicle crash deaths
2. Level of education
A) Response Variable
B) Explanatory Variable
2) Those with less education tend to drive cars that are older, have poorer crash test ratings, and have fewer safety features such as side airbags. Are the variables age of car, crash test rating, and presence of safety features explanatory variables, response variables, or lurking variables?
A) They are all explanatory variables since they are all characteristics of a car.
B) They are lurking variables as they are neither the primary explanatory nor response variables
C) They are all response variables since they can determine how much damage a car will receive in a motor vehicle crash.
D) None of the choices are correct education level good.
3) Is the association between traffic fatalities reason to think that a higher level of education actually causes an individual to be a safe driver? None of the choices are correct
A) Without an experiment, no causal relationship can be made.
B) There is a causal relationship because the study shows that the level of education has an impact on traffic fatalities are associated.
C) There is a causal relationship because level of education and motor vehicles.
D) None of the choices are correct.

Q10
A photographer increases the price he charges to print photographs. He
wants to know if this affects his sales.
Last week, before the price increase, the average number of photos ordered was 12.
This week customers ordered
Photos ordered
Number of customers
1 - 10
26
11-20
21.30
6
31 - 40
41 - 50
0
51 - 60
Does the price increase seem to have had an effect on the number of prints ordered per customer?
Explain your answer. Include calculations to support your decision.​

Stephanie bought a chair for $124.00. The finance charge was $24 and she paid for it over 12 months. (Finance Ch arg e: #Months)(12) Use the formula Amount Financed calculate her approximate APR. Approximate APR to Round the answer to the nearest tenth.
O 20.5%
O 19.4%
O 1.6%
O 1.5%​

Fill in the blanks with a positive or negative Integer
1 ) Sally lost twenty-four quarters because she did not put the money in her piggy bank.
2 ) Sara lost thirty-three pounds after working out and dieting. ______
3 ) Jessica has 17 nickels in her bank. ______
4 ) The stock market dropped 33 points after the bad economic news yesterday. ______
5 ) Dan had seventeen baseball cards in his collection. ______

A two sample t test for a difference in means was conducted to investigate whether the average time to swim a lap with the freestyle stroke is different from the average time to swim a lap with the butterfly stroke based on the P value in a significance level of 0.05 which of the following is a correct conclusion

for the grey boxes the answer choices are:

1. left
2. right

for the second one it’s:
1.up
2.down

7x + 2x^2 + 3x^2 - 2x

5.7 x 10 to the power of 1


5.7 x 10 to the power of 2


5.7 x 10 to the power of 3

Daniel accepted a new job at a company with a contract guaranteeing annual raises. Let S represent Daniel's salary after working for n years at the company. A graph of S is shown below. Write an equation for S then state the y-intercept of the graph and determine its interpretation in the context of the problem.

Janine inflated a ball to a radius of 18cm and another ball to a radius of 12cm. how much greater was the volume of air in the larger ball than the smaller ball?
​

Raymoon sold an article at a loss of 5%. If he had sold it for 270 more, he would have gained 7% find the cost prize of article
​

How to turn a percentage into a decimal

Factor 9x2 – 4.

options:

A)

(3x + 2)(3x + 2)

B)

(3x – 2)(3x + 2)

C)

(3x – 2)(x + 2)

D)

(3x – 1)(3x + 4)