Respuesta :

Solution:

Since the triangles are similar:

  • 9 + 6:20 = 9:x

Solving the equation:

  • 9 + 6:20 = 9:x
  • => 15:20 = 9:x
  • => 3/4 = 9/x
  • => 9/12 = 9/x
  • => x = 12

The value of x is 12.

[tex]\\ \tt\hookrightarrow \dfrac{9}{x}=\dfrac{9+6}{20}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{9}{x}=\dfrac{15}{20}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{9}{x}=\dfrac{3}{4}[/tex]

[tex]\\ \tt\hookrightarrow 3x=36[/tex]

[tex]\\ \tt\hookrightarrow x=12[/tex]