18.052 in expanded word form

Mathematics

2 answers:

irina1246 [14]3 years ago

4 0

Eighteen and
fifty-two thousandths

kondor19780726 [428]3 years ago

4 0

Eighteen point zero five two

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Explain why the triangles are similar then find out the distance represented by x

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Because the only difference between them is size so the basic form of the shape remains, having corresponding sides in proportion.

<h2>Explanation:</h2>

Two triangles are similar if the only difference between them is size. Put another way, the basic form of the shape remains. If this is true, then:

Corresponding angles are congruent
Corresponding sides are in proportion

Since you didn't provide any graph, I have attached two similar triangles below. As you can see they are right triangles. As we said, corresponding sides of similar triangles are in proportion, so it is true that:

$\frac{9}{3}=\frac{12}{4}=\frac{x}{5}=3 \\ \\ \therefore \frac{x}{5}=3 \\ \\ \therefore x=5(3) \\ \\ \therefore \boxed{x=15}$