Answer:
19 units
Explanation:
You have midline LM marked as 6x+1 and parallel baseline IJ marked as -6x+56 in triangle IJK. You want to know the length of LM.
Midline
The midline of a triangle is half the length of the parallel base:
LM = 1/2(IJ)
6x +1 = 1/2(-6x +56) . . . . . substitute expressions
6x +1 = -3x +28 . . . . . . . simplify
9x = 27 . . . . . . . . . . . . sdd 3x-1
x = 3
Now, we can find LM:
6x +1 = 6(3) +1 = 19
The measure of LM is 19 units.