Question

Find X PLEASE and THANK YOU!

Answer 1

Answer:

x = 8

Step-by-step explanation:

Look at the picture.

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

$\dfrac{AB}{AC}=\dfrac{AC}{AD}$

We have

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

Substitute:

$\dfrac{8}{x}=\dfrac{x}{2}$          cross multiply

$x^2=(8)(2)\\\\x^2=16\to x=\sqrt{16}\\\\x=8$