Respuesta :

If the triangles are similar, the proportion of the legs on the left to the legs on the right will be equal.  This proportion would look like:

[tex]\frac{2x+1}{3x}=\frac{10}{14}[/tex]

(You needed to combine the orange segment and the yellow segment to find the total length of the large triangle).


Now, cross multiply and solve for x:

28x+14=30x

*Subtract 28x from both sides to isolate the variable*

14=2x

*Divide both sides by 2*

7=x


Hope this helps!!