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If LN = 6x – 5, LM = x + 7, and MN = 3x + 20, find MN.

If LN = 6x – 5, LM = x + 7, and MN = 3x + 20, find MN.
asked 128k views
3 votes
If LN = 6x – 5, LM = x + 7, and MN = 3x + 20, find MN.

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User Saafo
by
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1 Answer

4 votes

Answer:

LM = LN + MN [ assuming N is a point between L and M ]


(x + 7) = (6x - 5) + (3x + 20) \\ x + 7 = 9x + 15 \\ 8x = - 8 \\ { \underline{x = - 1}}

then find MN:


MN = 3x + 20 \\ MN = 3( - 1) + 20 = - 3 + 20\\ { \boxed{ \boxed{MN = 17}}}

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User Julene
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