What are the steps to solving this problem?

Question

asked Feb 3, 2020 31.4k views

1 Answer

KarimS · Answer 1 · 2020-02-08T22:50:40+0000

Answer:

$\large\boxed{B)\ 256}$

Explanation:

Look at the picture.

ΔABC and ΔBDC are similar (AA). Therfore the sides are in proportion:

(AC)/(CB)=(CB)/(DC)

We have

AC = x + 144

CB = 240

DC = 144

Substitute:

(x+144)/(240)=(240)/(144) cross multiply

$144(x+144)=(240)(240)\qquad\text{divide both sides by 144}\\\\x+144=400\qquad\text{subtract 144 from both sides}\\\\x=256$