Answer:
M; BM = 49
Step-by-step explanation:
The vertical mark between A and M and the vertical mark between M and B show that segments Am and MB are congruent. That makes point M the bisector of segment AB.
The two segments AM and MB are congruent, so their lengths are equal.
4x + 1 = 7x - 35
Subtract 7x from both sides.
-3x + 1 = -35
Subtract 1 from both sides.
-3x = -36
Divide both sides by -3.
x = 12
BM = 7x - 35 = 7(12) - 35 = 84 - 35 = 49
Answer: M; BM = 49
