Question

Solve for x! Please help!

Answer 1

Answer:

x = 12

Step-by-step explanation:

ΔADC and ΔCDB are similar (AA). Therefore the sides are in proportion:

$\dfrac{AD}{DC}=\dfrac{DC}{DB}$

We have AD = 16, DC = x, DB = 9. Substitute:

$\dfrac{16}{x}=\dfrac{x}{9}$            cross multiply

$x^2=(16)(9)\to x=\sqrt{(16)(9)}\\\\x=\sqrt{16}\cdot\sqrt9\\\\x=4\cdot3\\\\x=12$