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introduction to similarity (tues 1/20) find the missing side length. 10…

Question

introduction to similarity (tues 1/20)
find the missing side length.
10
?
15
24
15

Explanation:

Step1: Set up proportion for similar rectangles

Let the missing side be \( x \). Since the rectangles are similar, the ratios of corresponding sides are equal: \( \frac{x}{24}=\frac{10}{15} \)

Step2: Solve for \( x \)

Cross - multiply: \( 15x = 24\times10 \)
\( 15x = 240 \)
Divide both sides by 15: \( x=\frac{240}{15}=16 \)

Answer:

16