Question

PLEASE HELP ***What is the length of AC??? Please help me understand how to find this

Answer 1

The answer is 144.

AC and CE have the same ratio as BA and DE. So you can get the answer by getting their proportions. 

  84   =   7 
156-x     x 

Cross multiply, transpose, and simplify to get the variable x.

84x = 1092-7x
84x + 7x = 1092
91x = 1092
x = 12

To get AC, substitute. 

AC = 156 - x
AC = 156 - 12
AC = 144