Respuesta :

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.