Respuesta :

Answer:

x = 2

Step-by-step explanation:

If a line is parallel to a side of a triangle and it intersects the other 2 sides then it divides those sides proportionally, that is

[tex]\frac{6x+2}{x +5}[/tex] = [tex]\frac{24-8}{8}[/tex] = [tex]\frac{16}{8}[/tex] = 2 ( multiply both sides by x + 5 )

6x + 2 = 2(x + 5)

6x + 2 = 2x + 10 ( subtract 2x from both sides )

4x + 2 = 10 ( subtract 2 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2