Unit Test — Cumulative exam Answers

Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. The length of L M is 3 x minus 3 and the length of M N is x + 7.

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

The area of the regular octagon is 10.15 cm2.

Point Q lies on the circle and has an x-coordinate of 4.

The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm.

A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated.What is the approximate probability that the code only contains odd numbers?

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.

A cone has a circular base with a diameter of 18 inches. The height of the cone is 40 inches.What is the approximate lateral area of the cone? Use 3.14 for π and round to the nearest whole number.

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 base of a solid right pyramid is a square with an edge length of n units. The height of the pyramid is n − 1 units.

Which three-dimensional figure has half the number of vertices as the rectangular prism?

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

On a coordinate plane, a circle has a center at (negative 2, 1).

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

In circle E, and are diameters. Angle BCA measures 53°.

Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Select three options.rectangular prismtriangular prismcylinderconesquare pyramidtriangular pyramid

Which set of side lengths is a Pythagorean triple?

The formula for the area of a rectangle is A = lw.

The volume of a cone is 3πx3 cubic units and its height is x units.Which expression represents the radius of the cone’s base, in units?

Mei and Anju are sitting next to each other on different horses on a carousel. Mei’s horse is 3 meters from the center of the carousel. Anju’s horse is 2 meters from the center. After one rotation of the carousel, how many more meters has Mei traveled than Anju?