GriselD267851 GriselD267851
  • 04-11-2022
  • Mathematics
contestada

find each pair of similar figures.use the given areas to find each scale factor of the similar figures.then find x

find each pair of similar figuresuse the given areas to find each scale factor of the similar figuresthen find x class=

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JoelynT731686 JoelynT731686
  • 04-11-2022

We have that both pentagons are similar, then, we can write the following proportions:

[tex]\frac{900}{21}=\frac{300}{x}[/tex]

doing cross product, we get the following:

[tex]\begin{gathered} \frac{900}{21}=\frac{300}{x} \\ \Rightarrow900x=300\cdot21=6300 \\ \Rightarrow x=\frac{6300}{900}=7 \\ x=7 \end{gathered}[/tex]

therefore, x = 7

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