the quadrilateral is a parallelogram and has measurements of AC=8x-14 and EC=2x+11. what is the value of x?

Answer 1

Since the quadrilateral is a parallelogram, opposite sides are equal in length. Therefore, AC = EC.

8x-14 = 2x+11

Subtract 2x from both sides:

6x-14 = 11

Add 14 to both sides:

6x = 25

Divide by 6:

x = 25/6

x = 4.17 (rounded to two decimal places)

Therefore, the value of x is approximately 4.17.