Addition Postulate ... Long problem.... explanations anyone?

Question

Suppose M is between L and N. Use the segment Addition Postulate to solve for the variable. Then find the lengths of line: LM MN and LN

LM = 3x + 8
MN = 2x - 5
LN = 23

Answer 1

You have to add the two line segments LM and MN which equals LN. so you have

LM+MN=LN
(3x+8)+(2x-5)=23
Combine your like terms:
5x+3=23
Subtract 3 from both sides:
5x=20
Divide both sides by 5:
x=4.
Now that you know what x is you can plug it back in to find the lengths of LM and MN
LM=3(4)+8
LM=12+8
LM=20
MN=2(4)-5
MN=8-5
MN=3

So your final answer is LM=20, MN=3, and LN=23.

Answer 2

Well, I'm pretty rusty at this, but I'll give it a shot.

3x + 8 + 2x - 5 = 23
5x + 3 = 23
5x = 20
x = 4
LM = 3x + 8 = 3(4) + 8 = 20
MN = 2x - 5 = 2(4) - 5 = 3
20 + 3 = LN = 23

Answer 3

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