Answer:
Step-by-step explanation:
You want the measures of the midline AB = 5x +7 and base line CD = 13x -10 in the triangle shown.
Midline
The midline is half the length of the baseline, so doubling its length gives the same length as the baseline.
2(AB) = CD
2(5x +7) = 13x -10
10x +14 = 13x -10 . . . . . . eliminate parentheses
24 = 3x . . . . . . . . . . . . add 10-10x
8 = x . . . . . . . . . . . . . divide by 3
AB = 5(8) +7 = 47
CD = 13(8) -10 = 94
The values of interest are ...
