Respuesta :

So, as both triangles are similar, we can write the following equation:

[tex]\frac{16}{4}=\frac{5+x}{5}[/tex]

Now, all we need to do is to solve this equation for x:

[tex]\begin{gathered} 80=4(5+x) \\ 20=5+x \\ x=15 \end{gathered}[/tex]

Thus, x=15.