We have been given an image of a trapezoid. We are asked to find the measure of angle M and N.
We know that bases of trapezoid are parallel and the two angles between two parallel lines are supplementary, so we can set an equation as:
![\angle M+\angle N=180](https://tex.z-dn.net/?f=%5Cangle%20M%2B%5Cangle%20N%3D180)
![6y-10+4y-10=180](https://tex.z-dn.net/?f=6y-10%2B4y-10%3D180)
![10y-20=180](https://tex.z-dn.net/?f=10y-20%3D180)
![10y-20+20=180+20](https://tex.z-dn.net/?f=10y-20%2B20%3D180%2B20)
![10y=200](https://tex.z-dn.net/?f=10y%3D200)
![\frac{10y}{10}=\frac{200}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B10y%7D%7B10%7D%3D%5Cfrac%7B200%7D%7B10%7D)
![y=20](https://tex.z-dn.net/?f=y%3D20)
Upon substituting value of y in measure of angle M, we will get:
![m\angle M=6y-10](https://tex.z-dn.net/?f=m%5Cangle%20M%3D6y-10)
![m\angle M=6(20)-10](https://tex.z-dn.net/?f=m%5Cangle%20M%3D6%2820%29-10)
![m\angle M=120-10](https://tex.z-dn.net/?f=m%5Cangle%20M%3D120-10)
![m\angle M=110](https://tex.z-dn.net/?f=m%5Cangle%20M%3D110)
Therefore, measure of angle M is 110 degrees.
Similarly, we will find the value of angle N as:
![m\angle N=4y-10](https://tex.z-dn.net/?f=m%5Cangle%20N%3D4y-10)
![m\angle N=4(20)-10](https://tex.z-dn.net/?f=m%5Cangle%20N%3D4%2820%29-10)
![m\angle N=80-10](https://tex.z-dn.net/?f=m%5Cangle%20N%3D80-10)
![m\angle N=70](https://tex.z-dn.net/?f=m%5Cangle%20N%3D70)
Therefore, measure of angle N is 70 degrees.
X- the number of pumpkin she had initially
she gave you x/2
x-x/2=x/2
(x/2)/2=x/4(she gave Coral)
x/2-x/4=x/4
x/4=6
x=24
9) is A
10) is B
Do you need an explanation
Answer:
A line parallel has the same slope, so -3