Question

Does this make any sense?

Answer 1

B. 28

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`