The diagonals of parallelogram ABCD intersect at E. If AE = x + 4 and AC- 5x - 10, find the value of AC.

1 answer

AC = 2 AE

If AC- 5x - 10 means AC = 5 x - 10

then

AC = 2 AE

5 x - 10 = 2 ( x + 4 )

5 x - 10 = 2 x + 8

Add 10 to both sides

5 x = 2 x + 18

Subtract 2 x to both sides

3 x = 18

x = 18 / 3

x = 6

AC = 5 x - 10

AC = 5 ∙ 6 - 10 = 30 - 10 = 20