Question

Find the length of the variable w

Answer 1

Answer:

w = 3

Step-by-step explanation:

Δ BDE and Δ BAC are similar, then the ratios of corresponding sides are equal, that is

$\frac{BD}{BA}$ = $\frac{DE}{AC}$ , substitute values

$\frac{w}{w+2}$ = $\frac{3}{5}$ ( cross- multiply )

5w = 3(w + 2) ← distribute

5w = 3w + 6 ( subtract 3w from both sides )

2w = 6 ( divide both sides by 2 )

w = 3