Question

Solve for x, the triangles are similar

Answer 1

Answer:

x = 12

Step-by-step explanation:

Δ ESR and Δ EGF are similar, then ratios of corresponding sides are equal, so

$\frac{ES}{EG}$ = $\frac{ER}{EF}$ , substitute values

$\frac{45}{12x-3}$ = $\frac{55}{143}$ ( cross- multiply )

55(12x - 3) = 6435 ( divide both sides by 55 )

12x - 3 = 117 ( add 3 to both sides )

12x = 120 ( divide both sides by 12 )

x = 10