Answer:
[tex]x=11[/tex]
Step-by-step explanation:
we know that
The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.
so
In this problem
[tex](x+5)=\frac{1}{2}(3x-1)[/tex]
solve for x
Multiply by 2 both sides
[tex]2x+10=3x-1[/tex]
subtract 2x both sides
[tex]10=3x-1-2x[/tex]
[tex]10=x-1[/tex]
Adds 1 both sides
[tex]x=11[/tex]
