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.
couple years late but for other kids the answer is 58
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?
Based on what I've seen, none of these answers are right. Here's the rundown on the problem.
Ray MO bisects angle LMN.
Angle LMN measures 6x-28, and angle LMO measures x+34
We want to find the measure of angle NMO.
So, here goes.
Because ray MO bisects angle LMN, we know that angle LMO and NMO are congruent (the same). Based on this information, we want to construct and equation to get the measure of angle NMO.
Using what we know, we can use the equation 6x-28=2(x+34).
This equation essentially says that the measure of angle LMN is equal to the sum of angles LMO and NMO. Angles LMO and NMO are the same, which is why it is represented as "2(x+34)".
Now solve the equation as normal to get the value of x, the plug it in to the equation.
6x-28=2(x+34)
6x-28=2x+68
6x-2x-28=2x-2x+68
4x-28=68
4x-28+28=68+28
4x=96
4x/4=96/4
x=24
Now that the equation is solved, plug x into the equation for NMO, which is x+34. You should get 24+34 which is simplified to 58.
The measure of angle NMO is 58°.
Sorry I'm a year too late, but hopefully this helps future students!
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
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?