Asked by Tiffany
M is the midpoint of LM
LM=3x+5
LN=5x+40
Find MN
I've tried to work this out several times and am pretty sure I start it off by 3x+5=5(x)+40 but I keep getting a negative answer or a fraction for X and know that is not right. Can someone please help me?
LM=3x+5
LN=5x+40
Find MN
I've tried to work this out several times and am pretty sure I start it off by 3x+5=5(x)+40 but I keep getting a negative answer or a fraction for X and know that is not right. Can someone please help me?
Answers
Answered by
Steve
Nope. LM cannot be the midpoint of LM.
If N is the midpoint of LM, then
LN is half of LM, so
3x+5 = 2(5x+40)
3x+5 = 10x + 80
7x = -75
that makes the lengths negative. So, we must have M is the midpoint of LN. In that case,
5x+40 = 2(3x+5)
5x+40 = 6x + 10
x = 30
So, LM=MN=95
and LN = 190
If N is the midpoint of LM, then
LN is half of LM, so
3x+5 = 2(5x+40)
3x+5 = 10x + 80
7x = -75
that makes the lengths negative. So, we must have M is the midpoint of LN. In that case,
5x+40 = 2(3x+5)
5x+40 = 6x + 10
x = 30
So, LM=MN=95
and LN = 190
Answered by
Makayla
L is the midpoint then.
(3x+5)=(5x+40)
subtract 3x on both sides.
5=2x+40
subtract 40 on both sides.
-35=2x
divide by 2.
-17.5=x
so yes, it does come out to be negative and a decimal.
(3x+5)=(5x+40)
subtract 3x on both sides.
5=2x+40
subtract 40 on both sides.
-35=2x
divide by 2.
-17.5=x
so yes, it does come out to be negative and a decimal.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.