Answer:
AY= 12 mm
Step by step explanation:
By using the diagram above, and proportional relationships because the triangles are congruent:
[tex]\frac{10}{8}=\frac{15}{x}[/tex]Solve for x:
[tex]10x=15\cdot8[/tex][tex]\begin{gathered} 10x=120 \\ x=\frac{120}{10} \\ x=12 \end{gathered}[/tex]AY= 12 mm