SOLUTION: Suppose M is between L and N. Use the Segment Addition Postulate to solve for the variable. Then find the lengths of segments LM, MN, and LN. LM= 1/2z +2 MN= 3z + 3/2 LN= 5z +

Algebra ->  Length-and-distance -> SOLUTION: Suppose M is between L and N. Use the Segment Addition Postulate to solve for the variable. Then find the lengths of segments LM, MN, and LN. LM= 1/2z +2 MN= 3z + 3/2 LN= 5z +      Log On


   



Question 340293: Suppose M is between L and N. Use the Segment Addition Postulate to solve for the variable. Then find the lengths of segments LM, MN, and LN.
LM= 1/2z +2
MN= 3z + 3/2
LN= 5z + 2

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
LM%2BMN=LN
%281%2F2%29z%2B2%2B3z%2B3%2F2=5z%2B2
Multiply both sides by 2.
z%2B4%2B6z%2B3=10z%2B4
3z=3
z=1
.
.
.
LM=+1%2F2%281%29+%2B2=5%2F2
MN=+3%281%29+%2B+3%2F2=9%2F2
LN=+5%281%29%2B2=7