Question

What is AE ? ___ units

Answer 1

We can form two ratios to help us solve this:

(2x+6):10 = (x+6):8


(2x+6)         (x+6)
---------   =   --------
   10              8


Cross multiply:
8(2x+6) = 10(x+6)

Foil:
16x + 48 = 10x + 60

Move like variables to the same side:
16x - 10x = 60 - 48
6x = 12
x = 2

Line AE = 2x+6
Plug 2 for x into the equation: 2(2) + 6 = 10

Hope this helps, and May the Force Be With You!

-Jabba