Question

If BE = 2x + 2, BD = 5× - 3, and AE = 4× - 6, what are the values of x and AC?​

Answer 1

x = 7

AC = 44

Explanation:

Find the diagram attached

According to the parallelogram,

BD = 2BE

5x-3 = 2(2x+2)

5x-3 = 4x+4

5x-4x = 4+3

x = 7

Hence the value of x is 7

Also AC = 2AE

AC = 2(4x-6)

AC = 8x - 12

AC = 8(7) - 12

AC= 56-12

AC = 44

Hence the measure of AC is 44