3 years ago

Solve for the value of x

Mathematics

1 answer:

viva [34]3 years ago

4 0

Answer:

x=9

Step-by-step explanation:

To solve for x, you can set up a proportion between the 2 triangles we see.

The small triangle can be written as $\frac{16}{20}$ , and the large triangle can be written as $\frac{16+12}{20+2x-3} = \frac{28}{2x+17}$ .

Set both proportions equal to each other.

$\frac{16}{20}=\frac{28}{2x+17}$

Cross multiply and solve for x.

$16(2x+17)=(28)(20)$

32x+272=560

32x=288

x=9

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