Question

NEED HELPPPP PLEASEEE!!!! NUMBER 21

Answer 1

Answer:

9.75

Step-by-step 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:

$\frac{AB}{AD}=\frac{BC}{DE}=\frac{AC}{AE}$.

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:

$\frac{AB}{AD}=\frac{BC}{DE}$

$\frac{15}{10}=\frac{x}{6.5}$

Cross multiply:

$6.5(15)=10x$

Divide both sides by 10:

$\frac{6.5(15)}{10}=x$

Put into calculator:

$9.75=x$

$x=9.75$