Respuesta :

Answer:

x = 12

Step-by-step explanation:

If a line is parallel to a side of a triangle and it intersects the other two sides, it divides those sides proportionally.

The line here is parallel to a side of the triangle and it intersects the other two sides, then

[tex]\frac{x}{32}[/tex] = [tex]\frac{9}{24}[/tex] ( cross multiply )

24x = 32 × 9 = 288 ( divide both sides by 24 )

x = 12

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