Hey there! :D
When there are two lines (parallel) that are cut by a transversal, corresponding angles form. These are angles that are in the same position on the same side. m<2 is corresponding to the angle that equals 38 degrees. They are congruent and have the same measure.
m<2= 38 degrees
Remember, this only works because the problem said that line L and M are parallel.
I hope this helps!
~kaikers
Each muffin costs about .88 cents since you do the unit rate and then you multiply both numerator and denominator by 12 which gets you $10.56. Therefore, for twelve muffins it costs $10.56 and per muffin it’s .88 cents
I believe it might be A or C. Not really sure
Answer: -5
Step-by-step explanation: -3 , -4 , -5 is the third
Answer:
The fraction is![\frac{7}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B1%7D)
Step-by-step explanation:
Let the numerator be x and denominator be y
So, Fraction = ![\frac{x}{y}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D)
Now we are given that numerator and denominator of the fraction is increased by 2 and 1 respectively. it becomes 3/4
So, Fraction becomes :![\frac{x+2}{y+1}=\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B2%7D%7By%2B1%7D%3D%5Cfrac%7B3%7D%7B4%7D)
![4(x+2)=3(y+1)](https://tex.z-dn.net/?f=4%28x%2B2%29%3D3%28y%2B1%29)
![4x+8=3y+3](https://tex.z-dn.net/?f=4x%2B8%3D3y%2B3)
----1
We are also given that the numerator and the denominator are decreased by 2 and 1 respectively , it becomes 1/2
So, Fraction becomes :![\frac{x-2}{y-1}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-2%7D%7By-1%7D%3D%5Cfrac%7B1%7D%7B2%7D)
![2(x-2)=y-1](https://tex.z-dn.net/?f=2%28x-2%29%3Dy-1)
![2x-4=y-1](https://tex.z-dn.net/?f=2x-4%3Dy-1)
---- 2
Substitute the value of y from 2 in 1
![4x-3(2x-3)+5=0](https://tex.z-dn.net/?f=4x-3%282x-3%29%2B5%3D0)
![4x-6x+9+5=0](https://tex.z-dn.net/?f=4x-6x%2B9%2B5%3D0)
![14=2x](https://tex.z-dn.net/?f=14%3D2x)
![7=x](https://tex.z-dn.net/?f=7%3Dx)
Substitute the value of x in 2
![2(2)-y-3=0](https://tex.z-dn.net/?f=2%282%29-y-3%3D0)
![4-3=y](https://tex.z-dn.net/?f=4-3%3Dy)
![1=y](https://tex.z-dn.net/?f=1%3Dy)
So, Fraction = ![\frac{x}{y}=\frac{7}{1}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3D%5Cfrac%7B7%7D%7B1%7D)
Hence The fraction is![\frac{7}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B1%7D)