Answer:
XZ = 13.5 in
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{PR}{XZ}[/tex] = [tex]\frac{QR}{YZ}[/tex] , substitute values
[tex]\frac{9}{XZ}[/tex] = [tex]\frac{6}{9}[/tex] ( cross- multiply )
6XZ = 81 ( divide both sides by 6 )
XZ = 13.5 in
