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• The two rectangles below are similar.1096What is the value of x?O 15O 30O 5.45O 6.7ok

The Two Rectangles Below Are Similar1096What Is The Value Of XO 15O 30O 545O 67ok class=

Sagot :

Similar Rectangles

When two rectangles are similar, the ratio of their corresponding sides is the same.

Side x of the largest rectangle corresponds to side 10 of the smallest rectangle.

Side 9 of the largest rectangle corresponds to side 6 of the smallest rectangle.

Therefore:

[tex]\begin{gathered} \frac{x}{10}=\frac{9}{6} \\ \text{Multiply by 10:} \\ x=10\cdot\frac{9}{6}=\frac{90}{6} \\ x=15 \end{gathered}[/tex]

x = 15