Respuesta :

Answer:

[tex] \frac{AQ + 15}{AQ} = \frac{10 + 6}{6 } \\ 6AQ + 90 = 10AQ + 6AQ \\ 10AQ = 90 \\ AQ = 9[/tex]

Answer:

AQ = 9

Step-by-step explanation:

Given a line parallel to the side of a triangle and intersecting the other 2 sides then it divides those sides proportionally , that is

[tex]\frac{6}{10}[/tex] = [tex]\frac{AQ}{15}[/tex] ( cross- multiply )

10 AQ = 90 ( divide both sides by 10 )

AQ = 9