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8. these polygons are similar. find the value of x. 20 17.5 7.5 9

Question

  1. these polygons are similar. find the value of x.

20
17.5
7.5
9

Explanation:

Step1: Find the scale - factor

The corresponding sides of similar polygons are in proportion. The ratio of the corresponding horizontal sides is $\frac{10}{5}=2$.

Step2: Set up proportion for side $x$

Let's set up a proportion using the ratio of corresponding sides. We know that $\frac{x}{10}=2$.

Step3: Solve for $x$

Multiply both sides of the equation by 10: $x = 2\times10=20$.

Answer:

20