SOLUTION: Hello, could you please help me with this math problem: M is the midpoint of line segment CD. Find the missing length. CM=3x, CD=8x-14, x=? Thanks a lot

Algebra ->  Points-lines-and-rays -> SOLUTION: Hello, could you please help me with this math problem: M is the midpoint of line segment CD. Find the missing length. CM=3x, CD=8x-14, x=? Thanks a lot      Log On


   

Question 128102: Hello, could you please help me with this math problem:
M is the midpoint of line segment CD. Find the missing length.
CM=3x, CD=8x-14, x=?
Thanks a lot
Answer by ilana(307) About Me  (Show Source):
You can put this solution on YOUR website!
If M is the midpoint of CD, how is the length of CM related to the length of CD? CM is half the length of CD (MD is the other half of the segment). So 2*3x=8x-14, 6x=8x-14, 14=2x, 7=x.
So CM is 21 and CD is 42.