Respuesta :

Answer: x = 20

because 2 triangles are similar

=> [tex]\frac{2x-4}{24}=\frac{42}{x+8}[/tex]

⇔ (2x - 4)(x + 8) = 24.42

⇔ 2x² + 12x - 32 = 1008

⇔ 2x² + 12x - 1040 = 0

⇔ 2(x - 20)(x + 26) = 0

because x > 0

=> x = 20

Step-by-step explanation: