Answer:
c) 118°
Step-by-step explanation:
PN is the diameter of the given circle.
Now, by inscribed angle theorem:
Now,
![\because m(\widehat{MP}) + m(\widehat{MN}) =m(\widehat{PMN})\\\therefore m(\widehat{MP}) + 62° =180°\\\therefore m(\widehat{MP}) =180°-62°\\\huge \orange {\boxed {\therefore m(\widehat{MP}) =118°}} \\](https://tex.z-dn.net/?f=%20%5Cbecause%20m%28%5Cwidehat%7BMP%7D%29%20%2B%20m%28%5Cwidehat%7BMN%7D%29%20%3Dm%28%5Cwidehat%7BPMN%7D%29%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%20m%28%5Cwidehat%7BMP%7D%29%20%2B%2062%C2%B0%20%3D180%C2%B0%5C%5C%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%5Ctherefore%20m%28%5Cwidehat%7BMP%7D%29%20%3D180%C2%B0-62%C2%B0%5C%5C%3C%2Fp%3E%3Cp%3E%5Chuge%20%5Corange%20%7B%5Cboxed%20%7B%5Ctherefore%20m%28%5Cwidehat%7BMP%7D%29%20%3D118%C2%B0%7D%7D%20%5C%5C)
Answer:
(7x-5)(7x+5)
Step-by-step explanation:
Answer:
A) x=8 and angle ABC=115 degrees
Step-by-step explanation:
the lines are parallel, meaning the angles are congruent.
you can set up the equation (15x-5)=(10x+35) and simplify.
1. separate variable by subtracting 10x on both sides to get (5x-5)=(35)
2. add 5 on both sides to get 5x=40
3. divide both sides by 5 to get x=8
4. plug x=8 into original function (10x+35) to get (10(8)+35) which equals 115 degrees
We can find this out by taking the total (23.70) and dividing it by the 5 band members, getting the number 4.74. Now we do this again, but with the extra band member we get 3.95. Now the last step it 4.74 - 3.95, which is 0.79. So each band member payed 0.79 less than normal.
Π r² h
A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r². Learn how to use these formulas to solve an example problem.
Hope it helps and pls mark brainlest