Answer:
x = 8.75, y = 8.125
Step-by-step explanation:
The triangles are similar thus the ratios of corresponding sides are equal, that is
[tex]\frac{8}{5}[/tex] = [tex]\frac{14}{x}[/tex] ( cross- multiply )
8x = 70 ( divide both sides by 8 )
x = 8.75
And
[tex]\frac{8}{5}[/tex] = [tex]\frac{13}{y}[/tex] ( cross- multiply )
8y = 65 ( divide both sides by 8 )
y = 8.125
