Ineed math a. 24 b. 16 c. 8 d. 4

Correct answer is B. 16

Step-by-step explanation:

In a parallelogram, the diiagonals cut each other into two equal parts,

which means AE = CE

Given AE = x∧2 - 8 and CE = 2x

AE = CE => x∧2 -8 = 2x => x∧2 -2x -8 = 0

this is qudratic equation and we will factorize it and solve it:

x∧2 -4x + 2x -8 = (x∧2 - 4x) + (2x - 8) = x(x-4) + 2(x-4) = (x-4) · (x+2) = 0

x-4 = 0 and x+2 = 0 => x=4 and x= -2

We will accept first solution (because it is positive)  x = 4

AE = CE = 2x = 2 · 4 = 8  or  AE = CE = x∧2 - 8 = 4∧2 - 8 = 16 - 8 = 8

AC = AE + CE = 8 + 8 = 16  => AC = 16

God with you!!!

the answer to this question is yes