Cumulative Exam — Cumulative exam Answers

Circle T has diameters RP and QS. The measure of ∠RTQ is 12° less than the measure of ∠RTS.

A circle is shown. Secant P N and tangent M N intersect at point N outside of the circle. Secant P N intersects the circle at point Q. The length of M N is 6, the length of Q N is 4, and the length of P Q is x.

Circle D is shown with the measures of the minor arcs.

On a coordinate plane, quadrilateral J K L M with diagonals is shown. Point J is at (4, 5), point K is at (5, 1), point L is at (1, 2), and point M is at (1, 5).

On a coordinate plane, trapezoid K L M N is shown. Point K is at (negative 2, negative 4), point L is at (negative 4, negative 2), point M is at (negative 2, negative 1), and point N is at (negative 1, negative 2).

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?

Patty, Quinlan, and Rashad want to be club officers. The teacher who directs the club will place their names in a hat and choose two without looking. The student whose name is chosen first will be president and the student whose name is chosen second will be vice president.Which choice represents the sample space, S, for this event?

Parallelogram A B C D is shown. The length of A B is (8 x minus 5) inches and the length of D C is (3 x + 10) inches.

In circle A, ∠BAE ≅ ∠DAE.

Which three-dimensional figure has the greatest number of faces?

Parallelogram R S T U is shown. Diagonals are drawn from point R to point T and from point U to point S and intersect at point V. The length of line segment U V is (x + 3) meters and the length of line segment V S is (2 x minus 7) meters.

Which three-dimensional figure has exactly three rectangular faces?

Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on the opposite side of the circle. It goes through center point K. Lines are drawn from points S and U to center point K.

A padlock has a four-digit code that includes digits from 0 to 9, inclusive.What is the probability that the code does not consist of all odd digits if the same digit is not used more than once in the code?

Parallelogram P Q S R is shown. The length of P Q is (4 x minus 1) centimeters and the length of R S is (3 x + 7) centimeters.

In circle D, ∠EDH ≅ ∠EDG.

Which are congruent line segments? Select two options.

Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair. Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.What is the theoretical probability that Chandra will be chosen as one of the science fair participants?

The measure of central angle XYZ is 1.25 radians.

Circle C is inscribed in triangle JEG.