Question

determine o valor de x na figura

Answer 1

Teorema de Tales:

$\frac{x}{x+2} = \frac{x-3}{x-2} \\\\x.(x-2) = (x+2).(x-3)\\\\x^2-2x=x^2-3x+2x-6\\\\-2x = -x - 6~~ \times(-1) \\\\2x = x + 6\\\\2x-x = 6\\\\\boxed{x=6}$