Answer:
n° = 62°
p° = 62°
q° = 118°
v° = 84°
w° = 138°
Step-by-step explanation:
angle ABC is 118°
so
m° + 118° = 180
m° = 180° - 118°
m° = 62°
n° = m° = 62° (corresponding angles are equal since AB is parallel to DC, and BC)
p° = n° = 62° (vertical angles are equal)
q° + n° = 180° (linear pair angles)
q° + 62° = 180°
q° = 180° - 62°
q° = 118°
v° + 96° = 180° (linear pair angles)
v° = 180° - 96°
v° = 84°
w° + 42° = 180 (linear pair angles)
w° = 180° - 42°
w° = 138°
Answer:
x is approximately 2.220744
Step-by-step explanation:
This can be simplified a little using properties of logarithms, and then solve it by graphing:
So we use a graphing tool to find the intersection point of the graph of 
, and the graph of 
Please see attached image for the graph and solution.
The value of x is approximately 2.220744
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
