SOMEONE PLEASE HELP!

Mathematics

1 answer:

prisoha [69]2 years ago

8 0

Answer:

$XY=16.2$

Step-by-step explanation:

It is given that the two figures are similar. This means that the ratio between the corresponding sides is equal. In essence, a side in the larger figure over its corresponding side in the smaller figure is equal to another side in the larger figure over its corresponding side in the smaller figure. Therefore, one can set up a proportion and solve to find the unknown side.

$\frac{WX}{ST}=\frac{XY}{TU}$

Substitute,

$\frac{18}{3}=\frac{XY}{2.7}$

Simplify,

$6=\frac{XY}{2.7}$

Inverse operations,

$6=\frac{XY}{2.7}$

$6(2.7)=XY\\\\16.2=XY$

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