Answer:
M<2= 65
Step-by-step explanation:
The reason it is 65 because 2 angles add up to either 90 or 180 and in this case it would be 180.
You would use angle addition postulate to find the answer so M<1 + M<2 = 180.
Since M<1 is 115 you would substitute it into the formula so 115 + M<2 = 180
Then you would subtract 115 from 180 in which you would get M<2 = 65
Answer:
Step-by-step explanation:
Given that a curve in polar coordinates is given by:
r=9+3cosθ
a) At point P, we have
![θ=\frac{21\pi}{18}](https://tex.z-dn.net/?f=%CE%B8%3D%5Cfrac%7B21%5Cpi%7D%7B18%7D)
Substitute to get
![r=9+cos \frac{21\pi}{18}\\=9.3932](https://tex.z-dn.net/?f=r%3D9%2Bcos%20%5Cfrac%7B21%5Cpi%7D%7B18%7D%5C%5C%3D9.3932)
b) Cartesian coordinate is
![x= rcos \theta=3.6934\\y =r sin \tjeta =8.6365](https://tex.z-dn.net/?f=x%3D%20rcos%20%5Ctheta%3D3.6934%5C%5Cy%20%3Dr%20sin%20%5Ctjeta%20%3D8.6365)
c) At the origin r =0
when r =0
we have
![9+3cos\theta=0\\cos\theta =-3](https://tex.z-dn.net/?f=9%2B3cos%5Ctheta%3D0%5C%5Ccos%5Ctheta%20%3D-3)
Since cos cannot take values as -3 it doe snot pass through origin.
Answer: 1. s*h 2. 20.4 hours
Step-by-step explanation: 1. s*h
2. 20.4 hours hope this helps.
When two lines cross like this, sum of measures of opposite angles is 180.
this means that:
measure angle AEC + measure angle BED = 180
4x-40 + x+50 = 180
5x +10 = 180
5x = 170
x = 34
therefore:
measure angle AEC = 4x-40 = 4(34)-40 = 96
measure angle BED = x+50 = 34+50 = 84