Question

CANT FIGURE IT OUT!!!!!!!!!
HELP PLEASE

Answer 1

• PQ = 49
• x = 10

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.