ACT EAGLE BOWL Championship Tie Breaker

In the figure shown below, ΔABC ~ ΔDEF, and the given lengths are in inches. Which of the following expressions gives the value of x in terms of b?

• b

• 5b

• 9b

Each student in Mrs. O'Malley's first-period Civics class draws 1 tag at random from each of 2 bowls to determine seating location in the class. The tag drawn from the first bowl is the row number of a student's seat; the 28 tags in the first bowl have an equal distribution of the numbers 1, 2, 3, 4, 5, 6, and 7. The tag drawn from the second bowl is the seat number within the row determined by the first tag; the 28 tags in the second bowl have an equal distribution of the numbers 1, 2, 3, and 4. What is the probability that the first student who draws will have a seating location that is in Row 5, but NOT in Seat 1?

• 3

• 4

• 6

• 125

• 436

• x > 0

• y > 0

• x < 0

• y < 0

• xy < 0