calculate the length of segment with the midpoint.

17. 10

Step-by-step explanation:

1. A segment going from an endpoint to the midpoint of the original segment is going to be 1/2 of the original segment.

       AM = 1/2 AB

2. You know that the length of AM is 5, so plug that in a solve algebraically

       5 = 1/2 AB

       (2)5 = (2) 1/2 AB

       10 = AB

18. 30

Step-by-step explanation:

The sum of two segments spanning from the original segment's midpoint to the end equals the length of the original segment. Because the midpoint is exactly in the middle of the original segment, the two other segments should equal each other.

1. You need to first find the length of the two segments by setting them equal to each other and plugging in their equations.

       5x = x+12

2. Solve algebraically        

       5x = x+12

       4x = 12

       x = 3

3. Plug z into the equations for each segment and add them together.

       RM = 5(3)                                                   MS = (3)+12

       RM = 15                                                      MS = 15

                                           15+15 = 30

paula, cory, and krista