Answer:
6. BM = 33
7. M is the bisector; BM = 54 1/3
8. 1.8 cm
Explanation:
6. The segments left and right of point M have a vertical hash mark indicating they are the same length. Then ...
4x +13 = 3x +18
x = 5 . . . . . . . . . . . subtract 3x+13 from both sides of the equation
BM = 3x+18 = 3·5 +18 = 33
7. As in problem 6, the hash marks indicate that M is the midpoint between A and B, so M bisects AB.
4x +1 = 7x - 39 . . . . . . . segments either side of M have the same length
40 = 3x . . . . . . . . . subtract 4x-39 from both sides of the equation
40/3 = x . . . . . . . . . divide by 3
BM = 7x -39 = 7(40/3) -39 = (280 -117)/3 = 163/3
BM = 54 1/3
8. Read the scale. The segment extends from 5 to 6.8, so has a length of ...
6.8 -5 = 1.8 . . . cm