To find angle c, the fourmula is 1/2 of the intercepted arc. so, this would be (-3x-6)=(-4x)/2, then bring the 2 over, (-3x-6)2=-4x, multiply the 2, -6x-12=-4x, -2x=12, simplify, x=-6
check by plugging in.
if the diameter is 15, its radius is half that, or 7.5
![\bf \textit{area of a circle}\\\\A=\pi r^2~~\begin{cases}r=radius\\[-0.5em]\hrulefill\\r=7.5\end{cases}\implies A=\pi 7.5^2\implies A=56.25\pi \\\\\\A\approx 176.71459\implies A = \stackrel{\textit{rounded up}}{177}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20circle%7D%5C%5C%5C%5CA%3D%5Cpi%20r%5E2~~%5Cbegin%7Bcases%7Dr%3Dradius%5C%5C%5B-0.5em%5D%5Chrulefill%5C%5Cr%3D7.5%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Cpi%207.5%5E2%5Cimplies%20A%3D56.25%5Cpi%20%5C%5C%5C%5C%5C%5CA%5Capprox%20176.71459%5Cimplies%20A%20%3D%20%5Cstackrel%7B%5Ctextit%7Brounded%20up%7D%7D%7B177%7D)
Answer:
-1
Step-by-step explanation:
A = 2s
c + 2s = 17 .....c + a = 17 (I subbed in "a" for 2s)
2c + a = 24
c + a = 17 .....(-1)
2c + a = 24
---------------
-c -a = -17...result of multiplying by -1
2c + a = 24
---------------add
c = 7
2c + a = 24
2(7) + a = 24
14 + a = 24
a = 24 - 14
a = 10
a = 2s
10 = 2s
10/2 = s
5 = s
so, senior tickets (s) cost $ 5, adult tickets (a) cost $ 10, and child tickets (c) cost $ 7
1 adult ticket + 1 senior ticket would cost $ 15
