Answer:
35.0 units
Step-by-step explanation:
we know that
A mid-segment of a triangle is a segment connecting the midpoints of two sides of a triangle. This segment is always parallel to the third side, and the length of the mid-segment is half the length of the third side
so
[tex]6x+5=\frac{1}{2}(3x+55)[/tex]
solve for x
[tex]12x+10=3x+55\\12x-3x=55-10\\9x=45\\x=5[/tex]
Find the length of the mid-segment
substitute the value of x
[tex]6(5)+5=35.0\ units[/tex]
