we know that
If the ΔABC and ΔXYZ are similar. then the corresponding sides of the triangles are proportional
[tex]\frac{AB}{XY}= \frac{BC}{YZ}= \frac{AC}{XZ}[/tex]
we have
[tex]AC=15\ units\\XZ=10\ units[/tex]
Find the ratio
[tex]\frac{AC}{XZ}[/tex]
substitute the values
[tex]\frac{15}{10}[/tex]
Simplify Divide by [tex]5[/tex] both numerator and denominator
[tex]\frac{15}{10}=\frac{3}{2}[/tex]
therefore
the answer is
[tex]\frac{3}{2}[/tex]
