Answer:
x = -1/2
Step-by-step explanation:
Given:
Inequality 4 ≥ 2 - 4x
Find:
Value of x
Computation:
4 ≥ 2 - 4x
4x ≥ -2
x ≥ -1/2
x = -1/2
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°
Use algebra to set up 2 equations.
Assign c as number of tickets for CATS and w for number of tickets of WICKED
c + w = 2700
c / w = 7 / 11
Then solve for one of them in the first equation
c = 2700 - w
Then put this value for c into the 2nd equation
(2700 - w) / w = 7 / 11
Now cross multiply the numerator by denominator of both numerator and denominator pairs
7w = 11 x (2700 - w)
7w = 29700 - 11w
Now solve for w
7w = 26700 - 11w
Add +11w to both sides
18w = 29700
Now divide by 18 on both sides
w = 1650
Then c is the remainder of that ... 2700 - 1650 = 1050
You can also check because 7 / 11 = 1050 / 1650
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