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?
Company A sells 60 pens for $15.00, while Company B sells the same type of pens 40 for $8.00. Which company’s price per pen is cheaper, and what is the price?
A.) Company A at $0.20
B.) Company A at $0.23
C.) Company A at $0.25
D.) Company B at $0.20
E.) Company B at $0.25
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
The total cost of renting a car is $30.00 for each day the car is rented plus 28.5¢ for each mile the car is driven. What is the total cost of renting the car for 5 days and driving 350 miles? (Note: No sales tax is involved.)
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
ACT and SAT