Answer:
x = 4.8 , y = 4
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{KJ}{NP}[/tex] = [tex]\frac{KL}{NM}[/tex] , substitute values
[tex]\frac{x}{3}[/tex] = [tex]\frac{8}{5}[/tex] ( cross- multiply )
5x = 24 ( divide both sides by 5 )
x = 4.8
and
[tex]\frac{JL}{PM}[/tex] = [tex]\frac{KL}{NM}[/tex] , that is
[tex]\frac{6.4}{y}[/tex] = [tex]\frac{8}{5}[/tex] ( cross- multiply )
8y = 32 ( divide both sides by 8 )
y = 4
