SOLUTION: Hello, would 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=? Thank you very much

Question 128103This question is from textbook Mathematics Structure and Method
: Hello, would 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=?
Thank you very much This question is from textbook Mathematics Structure and Method

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
M is the midpoint of line segment CD. Find the missing length.
CM=3x, CD= 8x-14, x=?
----------------------------
Draw the line segment CD.
Put M at the middle.
Do you see that CM + MD = CD ?
But M is the midpoint so CM = MD
Therefore 2(CM) = CD
----------------------
Substitute to get:
2(3x) = 8x-14
6x-8x = -14
-2x = -14
x = 7
=============
Cheers,
Stan H.
RELATED QUESTIONS
Hello, could you please help me with this math problem: M is the midpoint of line (answered by ilana)

Please would someone help me with this math problem? C is the midpoint of line ED, line... (answered by fcabanski)

Find the endpoint C of the line segment CD with D(3,5) and midpoint... (answered by stanbon)

Please help me with the following problem. Given the points $(3,-1) and F(13,-9), find (answered by josgarithmetic)

Please help me with this problem: Find the midpoint of the segment with endpoints... (answered by Alan3354,checkley77)

Good day! can you please help me with this math problem? In the figure, line segment... (answered by vleith)

HELLO, The midpoint and length of the line segment with the given endpoints. (-9,4)... (answered by tutorcecilia,funmath)

i need help on this problem can someone please show me step by step " find the midpoint... (answered by Alan3354)

Good day! I am not very familiar with this type of math problem, can you please help me... (answered by solver91311)