i need help with geometry

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