Question

Point M is the midpoint of AB.find BM.

Answer 1

AB+BC=AC
AM+MB=AB
2x+8+3x-4=AB
5x+4=AB

Feels free to ask me why I did any of these steps

Answer 2

Answer:  The required length of BM is 32 units.

Step-by-step explanation:  Given that the point M is the midpoint of the line segment AB where

$AM=2x+8,\\\\BM=3x-4.$

We are to find the length of BM.

Since the point M is the midpoint of the segment AB, so we must have

$AM=BM\\\\\Rightarrow 2x+8=3x-4\\\\\Rightarrow 3x-2x=8+4\\\\\Rightarrow x=12.$

Therefore, the length of BM is given by

$BM=3\times12-4=36-4=32.$

Thus, the required length of BM is 32 units.