Respuesta :

Answer:

x = 2

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.

This is the case here , then

[tex]\frac{x}{6}[/tex] = [tex]\frac{x+1}{9}[/tex] ( cross multiply )

9x = 6(x + 1) ← distribute parenthesis

9x = 6x + 6 ( subtract 6x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2