Question

Can someone help me? I need question #23

Answer 1

Answer:

x = 3; y = 11

Step-by-step explanation:

A parallelogram has two pairs of congruent opposite sides. For quadrilateral ABCD to be a parallelogram, sides AB and CD must be congruent, and sides AD and BC must be congruent.

AB = CD

2y + 2 = 3y - 9

-y = -11

y = 11

AD = BC

3x + 6 = y + 4

We already know y = 11, so we substitute 11 for y.

3x + 6 = 11 + 4

3x + 6 = 15

3x = 9

x = 3

Answer: x = 3; y = 11