Does this make any sense?

Question

asked Jun 5, 2020 63.7k views

1 Answer

Joe Seifi · Answer 1 · 2020-06-11T23:20:36+0000

Answer:

Explanation:

If ΔABC ~ ΔDEC, then the corresponding sides are in proportion:

(AC)/(DC)=(AB)/(DE)

We have:

$AC=x\\DC=32-x\\AB=42\\DE=6$

Substitute:

(x)/(32-x)=(42)/(6)

(x)/(32-x)=(7)/(1) cross multiply

(1)(x)=(32-x)(7) use distributive property

x=(32)(7)+(-x)(7)

x=224-7x add 7x to both sides

8x=224 divide both sides by 8

x=28