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CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!​

CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!​-example-1
User Jake He
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1 Answer

4 votes

Answer:

11.4

Explanation:

So we know that Triangle ACB is similar to Triangle EFD.

This means that their sides are proportional to each other.

We want to find x or side AB. To do so, we can set up a proportion.

The proportional side to AB is ED. Let's also use BC since we know its value. The proportional side to BC is DF. Thus:


(AB)/(ED)=(BC)/(DF)

Substitute x for AB, 3.8 for Ed, 15 for BC, and 5 for DF. Thus:


(x)/(3.8)=(15)/(5)

Reduce the right:


(x)/(3.8)=(3)/(1)

Cross multiply:


x=11.4

So, the value of x is 11.4

And we're done!

User Mindthief
by
6.9k points