Answer:
x = 9
Step-by-step explanation:
The line splits the sides of the triangle in proportion (the ratios of the pieces is the same for both sides).
Setup:
[tex]\frac{8}{3x+1}=\frac{2}{x-2}[/tex]
"Cross multiply."
[tex]2(3x+1)=8(x-2)\\6x+2=8x-16\\18=2x\\9=x[/tex]
