Parallelogram A B C D is shown. Sides A B and D C are parallel, and sides A D and B C are parallel. The length of A B is 4 y minus 3, the length of B C is 42, the length of D C is 37, and the length of A D is 3 x minus 9.

Use parallelogram ABCD. What are the values of x and y?

x =

3

y =

Hence the values for x and y are 10 and 17 units respectively.

Step-by-step explanation:

Given: ABCD is parallelogram.

AB=4y-3

BC=42

DC=37

AD=3x-9

To Find:

Values for x and y

Solution:

As ABCD is parallelogram with AD and BC as parallel sides.

So a parallelogram has opposite sides parallel and equal in length.

Hence AB || DC  and AB=DC

AD|| BC  and AD=BC

So,

4y-3=37  and

3x-9=42

Hence,

4y=37+3=40

y=10

and

3x=51

x=17

more detail

step-by-step explanation:

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.