1. MO bisects LMN, LMN = 5x-23, LMO = x+32. Find NMO.
>>I got the answer 45.75 but I got it wrong. I do not know how to solve this question and I have tried all that I know. Please help..
I got angle NMO = 61
same method as above, but correction for LMO = x + 32
Therefore, angle LMO = angle NMO
angle NMO = angle LMN - angle LMO
angle NMO = 5x - 23 - (x + 32)
angle NMO = 5x - 23 - x - 32
angle NMO = 4x - 55
angle LMO = angle NMO
x + 32 = 4x - 55
3x = 87
x = 29
angle NMO = 4x - 55
x = 29
4(29) - 55
116 - 55 = 61
My Answer was AngleNMO=45.75 but My teacher says that it is AngleNMO=61..I don't understand how she got this.
Let Me Rephrase This:
RayMO bisects AngleLMN,
The Measure of AngleLMN =5x-23,
The Measure of LMO = x+3,
O is the point is from RayMO, the point when a bisect is made.
Find AngleNMO.
Sorry It's Not A Line Segment I Looked At The Wrong Question. LMN is an Angle
The Measure of LMO = x+23.
Thank You For Helping Me Understand :)
you're welcome
A preimage includes a line segment of length x and slope m. If the preimage is dilated by a scale factor of n, what are the length and slope of the corresponding line segment in the image
The answer choices are as follows:
91.5
66
61
45.75
Correct answer is 61
Still a strange question.
You said above that LMN is a line segment
so angle LMN = 180°
so 5x-23 = 180
x = 40.6°
then angle LMO=x+3 = 40.6+3 = 43.6
then angle NMO = 180-43.6 = 136.4°
So the fact that OM is the bisector of LMN has nothing to do with anything.