Geometry
posted by Needs Help .
1. MO bisects LMN, LMN = 5x23, 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..

What is LMN? For example, is this a line segment, triangle, or ?
How did you get 45.75?
You need to post a better explanation.
Think of it like this. If you knew absolutely nothing about this problem could you solve it with just the info you posted? 
LMN is a Line segment and MO bisect. So it looks like the letter "V" but with a line straight through the middle going up and down.

I agree with "helper".
I cannot figure out what you mean by
LMO = x+32
LMO cannot be a line segment the way you described it.
Is it angle(LMO) = x + 32 ?
What does MO bisect?
Where is O ?
Are the angles at M right angles? 
Let Me Rephrase This:
RayMO bisects AngleLMN,
The Measure of AngleLMN =5x23,
The Measure of LMO = x+3,
O is the point is from RayMO, the point when a bisect is made.
Find AngleNMO. 
Thank you. That's much better.
If I am understanding your description,
A line that bisects an angle divides it into two congruent parts.
Therefore, angle LMO = angle NMO
angle NMO = angle LMN  angle LMO
angle NMO = 5x  23  (x + 3)
angle NMO = 5x  23  x  3
angle NMO = 4x  26
angle LMO = angle NMO
x + 3 = 4x  26
3x = 29
x = 9.67
check everything, arithmetic, angles, etc 
Still a strange question.
You said above that LMN is a line segment
so angle LMN = 180°
so 5x23 = 180
x = 40.6°
then angle LMO=x+3 = 40.6+3 = 43.6
then angle NMO = 18043.6 = 136.4°
So the fact that OM is the bisector of LMN has nothing to do with anything. 
My Answer was AngleNMO=45.75 but My teacher says that it is AngleNMO=61..I don't understand how she got this.

Sorry It's Not A Line Segment I Looked At The Wrong Question. LMN is an Angle

The Measure of LMO = x+23.

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 
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