Respuesta :

choixongdong

Answer:

18

Step-by-step explanation:

12/x = 16 / (x + 6)

Cross multiply

16x = 12(x + 6)

Distributive property

16x = 12x + 72

4x = 72

x = 18

Answer:

x = 18

Step-by-step explanation:

If a line is parallel to a side of a triangle and it intersects the other 2 sides, it divides those sides proportionally, hence

[tex]\frac{x}{12}[/tex] = [tex]\frac{x+6}{16}[/tex] ( cross- multiply )

16x = 12(x + 6)

16x = 12x + 72 ( subtract 12x from both sides )

4x = 72 ( divide both sides by 4 )

x = 18

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