Given parallelograms ABCD, AC=22, and AE=2x-5, find the value of x.

Answer:
D
Step-by-step explanation:
the diagonals of a parallelogram bisect each other , then
2 AE = AC ( substitute values )
2(2x - 5) = 22 ( divide both sides by 2 )
2x - 5 = 11 ( add 5 to both sides )
2x = 16 ( divide both sides by 2 )
x = 8