Answer:
B)140
Step-by-step explanation:
So a line is=180 and the interior angles of a triangle= 180, so I did some manipulations
1. 100 + (5x+5) + <ECD = 180. But we also know that (21x-7) + <ECD=180. With some manipulation we can find that <ECD= 180 - (21x-7), so we can plug that into the other equation
2. Now: 100 + (5x+5) + (180- (21x-7))= 180
3. Solve:
105+5x+180-21x+7=180
112-16x=0
112=16x
x=7
4. Plug x=7 into 21x-7= 140
2x - y = 7
y = 2x - 7 this line has slope = 2
Perpendicular lines, slope is opposite and reciprocal so slope = -1/2
Answer
A . -1/2
If the line passes the origin then to find equation you need to check coordinates of points:
![P_1=(3,\,5)\quad\implies\quad y=\dfrac53\,x\\\\P_2=(3,\,3)\quad\implies\quad y=\dfrac33\,x\quad\implies\quad y=x\\\\P_3=(3,\,1)\quad\implies\quad y=\dfrac13\,x\\\\P_4=(3,\,-2)\quad\implies\quad y=\dfrac{-2}3\,x\quad\implies\quad y=-\dfrac23x\\\\P_5=(3,\,-4)\quad\implies\quad y=\dfrac{-4}3\,x\quad\implies\quad y=-\dfrac43x\\\\P_6=(3,\,-6)\quad\implies\quad y=\dfrac{-6}3\,x\quad\implies\quad y=-2x](https://tex.z-dn.net/?f=P_1%3D%283%2C%5C%2C5%29%5Cquad%5Cimplies%5Cquad%20y%3D%5Cdfrac53%5C%2Cx%5C%5C%5C%5CP_2%3D%283%2C%5C%2C3%29%5Cquad%5Cimplies%5Cquad%20y%3D%5Cdfrac33%5C%2Cx%5Cquad%5Cimplies%5Cquad%20y%3Dx%5C%5C%5C%5CP_3%3D%283%2C%5C%2C1%29%5Cquad%5Cimplies%5Cquad%20y%3D%5Cdfrac13%5C%2Cx%5C%5C%5C%5CP_4%3D%283%2C%5C%2C-2%29%5Cquad%5Cimplies%5Cquad%20y%3D%5Cdfrac%7B-2%7D3%5C%2Cx%5Cquad%5Cimplies%5Cquad%20y%3D-%5Cdfrac23x%5C%5C%5C%5CP_5%3D%283%2C%5C%2C-4%29%5Cquad%5Cimplies%5Cquad%20y%3D%5Cdfrac%7B-4%7D3%5C%2Cx%5Cquad%5Cimplies%5Cquad%20y%3D-%5Cdfrac43x%5C%5C%5C%5CP_6%3D%283%2C%5C%2C-6%29%5Cquad%5Cimplies%5Cquad%20y%3D%5Cdfrac%7B-6%7D3%5C%2Cx%5Cquad%5Cimplies%5Cquad%20y%3D-2x)
Answer:
home aerodome ac
Step-by-step explanation:
Answer:
Board Games: 30%
Karaoke: 50%
Bowling: 20%
Step-by-step explanation:
Board Games:
or 30%
Karaoke:
or 50%
Bowling:
or 20%