Answer:
Explanation:
You have two figures showing expressions for a midline length and the parallel base length. In one case, you want the length of the midline (PQ). In the other case, you want the value of the variable (x).
A midline is the line segment that joins the midpoints of two sides of a triangle. It is parallel to the base, and half the length of the base.
PQ
2PQ = ON
2(5x -26) = 9x -37 . . . . . use the given expressions
10x -52 = 9x -37 . . . . . simplify
x = 15 . . . . . . . . . . . . . add 52 -9x
PQ = 5(15) -26 = 49
The length of PQ is 49 units.
X
2MN = KL
2(2x+7) = 7x -16 . . . . . . use given expressions
4x +14 = 7x -16 . . . . . . . . simplify
30 = 3x . . . . . . . . . . . . . . add 16 -4x
10 = x . . . . . . . . divide by 3
The value of x is 10.