Answer:
1. a(x) = (x-4) (x-1) (2x+1) (x+3)
2. b(x) = (x^2-2) (x-5) (x+3)
3. c(x) = (2x-1) (x^2- 2x + 5)
The angle is in the 3rd quadrant so you subtract 180° from it giving you 23°
![\bf \textit{sum of all interior angles in a polygon}\\\\ n\theta = 180(n-2)~~ \begin{cases} n = sides\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ n= 100 \end{cases}\implies \theta 100=180(100-2) \\\\\\ 100\theta = 180(98)\implies 100\theta =17640\implies \theta =\cfrac{17640}{100}\implies \theta = \cfrac{882}{5}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bsum%20of%20all%20interior%20angles%20in%20a%20polygon%7D%5C%5C%5C%5C%20n%5Ctheta%20%3D%20180%28n-2%29~~%20%5Cbegin%7Bcases%7D%20n%20%3D%20sides%5C%5C%20%5Ctheta%20%3Dangle~in%5C%5C%20%5Cqquad%20degrees%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20n%3D%20100%20%5Cend%7Bcases%7D%5Cimplies%20%5Ctheta%20100%3D180%28100-2%29%20%5C%5C%5C%5C%5C%5C%20100%5Ctheta%20%3D%20180%2898%29%5Cimplies%20100%5Ctheta%20%3D17640%5Cimplies%20%5Ctheta%20%3D%5Ccfrac%7B17640%7D%7B100%7D%5Cimplies%20%5Ctheta%20%3D%20%5Ccfrac%7B882%7D%7B5%7D)
which is pretty much just 176.4°, well, we also know that θ = 3x + 26.4
Your answer is going to be roughly 9.3327
Answer:
Greater than 90 miles
Step-by-step explanation:
Use the triangle inequality theorem, since the cities form a triangle.
This theorem states that the sum of any 2 sides of a triangle has to be greater than the length of the third side.
We can find what the length of the third side has to be greater than by subtracting 97 from 187:
187 - 97
= 90
So, the distance has to be greater than 90 miles.
