Cumulative Exam — Cumulative exam Answers

Point F is on circle C.

In circle O, radius OQ measures 9 inches and the arc length of PQ is 6π inches.

A parabola with a vertex at (0,0) has a focus along the negative part of the x-axis.

Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hypotenuse X Y is 42 and the length of X Z is 21.

Triangle K L J is cut by line segment N O. Line segment N O goes from side L K to side L J. The length of L N is (x minus 3) inches, the length of N K is (x + 2) inches, the length of L O is (x minus 4) inches, and the length of O J is x inches.

On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20).

If the legs of an isosceles right triangle have a length of ft, what is the length of the hypotenuse?

The Venn diagram shows the number of employers who ranked skills important for careers in their field.C represents communication, T represents technical skills, and M represents the ability to handle money.

Triangles C B A and R Q P are shown. The length of C B is 10, the length of B A is 10, and the length of A C is 14. The length of R Q is y, the length of Q P is 6, and the length of P R is 28.

Triangles R S T and V U T are connected at point T.

Triangle ABC is a right triangle and sin(53o) = . Solve for x and round to the nearest whole number.

On a coordinate plane, 2 triangles are shown. Triangle L M N has points (negative 1, 3), (3, 1), and (negative 1, 1). Triangle L prime M prime N prime has points (negative 2, negative 1), (6, negative 5), and (negative 2, negative 5).

Four points partition the directed line segment from A to B.• Point P partitions the directed line segment from A to B into a 3:4 ratio. • Point Q partitions the directed line segment from A to B into a 4:3 ratio. • Point R partitions the directed line segment from A to B into a 2:5 ratio. • Point S partitions the directed line segment from A to B into a 5:2 ratio.

Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last skater. Then, they try to decide whether or not Oliver should be the first skater in the race.Which subset, A, of the sample space shows the complement of the event in which Oliver is the first skater in the race?

The two-way table shows the number of sport utility vehicles with certain features for sale at the car lot.What is the probability that a randomly selected car with no 4-wheel drive has third-row seats?

Circle Y is shown. Chords R T and S U intersect at point Z. Arc S R is 100 degrees and arc T U is 72 degrees.

Triangle FGH is an equilateral triangle with sides measuring units.

Segment MP is a diameter of circle O.

Points H and F lie on circle C.

In quadrilateral PQRS, measures (7x - 2)o . Angle PSR measures (5x + 14 )o.