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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 =

2 Answers

3 votes

Answer:

X= 17

Y=10

Explanation:

User Ilya Semenov
by
9.3k points
5 votes

Answer:

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

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

User Rawrgramming
by
7.9k points

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