Answer:
w = 3
Step-by-step explanation:
Δ BDE and Δ BAC are similar, then the ratios of corresponding sides are equal, that is
[tex]\frac{BD}{BA}[/tex] = [tex]\frac{DE}{AC}[/tex] , substitute values
[tex]\frac{w}{w+2}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )
5w = 3(w + 2) ← distribute
5w = 3w + 6 ( subtract 3w from both sides )
2w = 6 ( divide both sides by 2 )
w = 3
