pls help me solve for length XY pls show how you got the answer

Answer:
XY = 4.75 cm
Step-by-step explanation:
Δ VXY and Δ VWZ are similar so the ratios of corresponding sides are equal, that is
[tex]\frac{XY}{WZ}[/tex] = [tex]\frac{VX}{VW}[/tex] , substitute values
[tex]\frac{XY}{2.5}[/tex] = [tex]\frac{4.5+5}{5}[/tex] = [tex]\frac{9.5}{5}[/tex] ( cross- multiply )
5 XY = 23.75 ( divide both sides by 5 )
XY = 4.75 cm