Question

NEED HELPPPP PLEASEEE!!!! NUMBER 21

Answer 1

9.75

Explanation:

The similarity statement is written in order so you can tell what sides are proportional to each other.

You might be able to tell from the figure but I don't like judging by pictures when I can help it.

So by your statement we know:

`(AB)/(AD)=(BC)/(DE)=(AC)/(AE)`.

We are given measurements for:

AD=10

AB=10+5=15

BC=x

DE=6.5

We don't need the last fraction in the equation:

`(AB)/(AD)=(BC)/(DE)`

`(15)/(10)=(x)/(6.5)`

Cross multiply:

`6.5(15)=10x`

Divide both sides by 10:

`(6.5(15))/(10)=x`

Put into calculator:

`9.75=x`

`x=9.75`