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NEED HELPPPP PLEASEEE!!!! NUMBER 21

NEED HELPPPP PLEASEEE!!!! NUMBER 21-example-1
User Cklab
by
8.2k points

1 Answer

2 votes

Answer:

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

User Janechii
by
7.3k points

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