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