SOLUTION: Suppose M is Between L and N. Use the Segment Addition Postulate to solve for the variable. Then find the lengths of LM MN and LN LM= 3x+5 MN = 2x-5 LN = 23 please

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Question 209468: Suppose M is Between L and N. Use the Segment Addition Postulate to solve for the variable. Then find the lengths of LM MN and LN

LM= 3x+5

MN = 2x-5

LN = 23

please show all work. thank you
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Suppose M is Between L and N. Use the Segment Addition Postulate to solve for the variable. Then find the lengths of LM MN and LN

LM= 3x+5

MN = 2x-5

LN = 23

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Equation:
3x+5 + 2x-5 = 23
5x = 23
x = (23/5)
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LM = 3x+5 = 3(23/5)+5 = (69/5)+(25/5) = 94/5 = 18 4/5
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MN = 2x-5 = 2(23/5)-5 = (46/5)-(25/5) = 21/5 = 4 1/5
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Cheers,
Stan H.