Help!!!!!!!!!!! Plz and thank you

Question

asked Sep 16, 2021 3.8k views

2 Answers

Frlan · Answer 1 · 2021-09-22T07:38:21+0000

Answer:

Option C is your answer ( x = 6 and y = 3)

Explanation:

For a parallelogram opposites are parallel and are equal so we use this information to calculate the value of x and y so here goes,

For x :

Lets take the sides AB and DC both are parallel and since it's a parallelogram they must be equal so we equate both the sides like this ,

$AB = DC\\8x-34=9x-40\\8x-9x=-40+34\\-x=-6\\x=6\\$

we found the value of x = 6 now we need the value of y

For y :

We take the sides AD and BC since they are parallel and opposites are equal so ,

$AD=BC\\4y+20=6x-4\\4y+20=6(6)-4\\4y+20=36-4\\4y+20=32\\4y=32-20\\4y=12\\y=12/4\\y=3$

so now the value of y = 3 so Option C is your answer