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krok68 [10]
3 years ago
11

CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!​

Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0

Answer:

11.4

Step-by-step 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:

\frac{AB}{ED}=\frac{BC}{DF}

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

\frac{x}{3.8}=\frac{15}{5}

Reduce the right:

\frac{x}{3.8}=\frac{3}{1}

Cross multiply:

x=11.4

So, the value of x is 11.4

And we're done!

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