JalayiaN334997 JalayiaN334997
  • 25-10-2022
  • Mathematics
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This figure shows two similar polygons; DEFG∼TUVS. Find the value of x.

This figure shows two similar polygons DEFGTUVS Find the value of x class=

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JaevienB327705 JaevienB327705
  • 25-10-2022

According to the question, both polygons are similar. It means you can use proportions to find the value of x.

[tex]\frac{DE}{TU}=\frac{EF}{UV}[/tex]

Replace for the given values in the picture

[tex]\begin{gathered} \frac{x}{6}=\frac{4}{12} \\ x=\frac{4}{12}\cdot6 \\ x=2 \end{gathered}[/tex]

x has a value of 2.

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