Lines a and b are parallel lines cut by a transversal,c, as shown below. If c is not perpendicular to a and b, which of the following is the set of all labeled angles that have the same measure as ∠4 ?
If the points (3,1), (3,-1), and (-2,-1) are 3 vertices of a rectangle in the standard (x,y) coordinate plane, what is the fourth vertex?
Over a 2-week period, 210,000 people attended an art show in Chicago. If the show was open every day, what was the average daily attendance at the show during this period?
What is the value of the expression g ∙ (g + 1)²
for g = 2?
Kaleb earned 85, 95, 93, and 80 points on the 4 tests, each worth 100 points, given so far this term. How many points must he earn on his fifth test, also worth 100 points, to average 90 points for the 5 tests given this term?
Natalie has 12 shirts and 7 pairs of pants. Each shirt can be worn with each pair of pants. How many different combinations of 1 shirt and 1 pair of pants does Natalie have to choose from?
Which of the following sequence of shifts would you perform in order to obtain the graph of f(x) = (x - 4)² + 1
from the graph of g(x) = x²
A.) Shift the graph of g up 1 unit and then left 4 units
B.) Shift the graph of g down 1 unit and then right 4 units
C.) Shift the graph of g up 1 unit and then right 4 units
D.) Shift the graph of g down 4 units and then right 1 unit
E.) none of these
Three fire trucks and 4 ambulances can fit into a parking lane 152 ft long. Two fire trucks and 5 ambulances can fit into a lane 136 ft long. How many feet long must a parking lane be for 1 fire truck and 5 ambulances? Assume
there is 1 ft of space between each vehicle.
A.) 75 ft
B.) 90 ft
C.) 100 ft
D.) 105 ft
E.) 110 ft
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