Question

Find X PLEASE and THANK YOU!

Answer 1

x = 8

Explanation:

Look at the picture.

ΔABC and ΔACD are similar. Therefore corresponding sides are in proportion:

`(AB)/(AC)=(AC)/(AD)`

We have

`AB=2+6=8,\ AC=x,\ AD=2`

Substitute:

`(8)/(x)=(x)/(2)` cross multiply

`x^2=(8)(2)\\\\x^2=16\to x=√(16)\\\\x=8`