Cumulative Exam Review 96%

Which expression represents the volume, in cubic units, of the shaded region of the composite figure?

1/2 (14)(10)(8) - π(2.52)(8)

The equation can be used to find the length of . What is the length of ? Round to the nearest tenth.

10.5 cm

What is the measure of angle O in parallelogram LMNO?

105 degrees

What is the measure of ADC in quadrilateral ABCD?

115 Degrees.

How many edges does a rectangular prism have?

12

Consider circle N with radius 30 cm and radians. What is the approximate length of minor arc LM? Round to the nearest tenth of a centimeter.

15.7 centimeters

A solid right pyramid has a square base. The length of the base edge is 4 cm and the height of the pyramid is 3 cm. What is the volume of the pyramid?

16 cm3

What is the measure of angle COA?

160 degrees

Line EF is tangent to circle G at point A. If the measure of is 95°, what is the measure of ?

190 degrees

What is the radius of a circle whose equation is x2+y2+8x−6y+21=0?

2 units

Rhombus WXYZ is graphed on a coordinate plane. What is the perimeter of the rhombus?

20 units

is tangent to circle P at point Q. What is the measure of angle R?

37 degrees

A 15-meter by 23-meter garden is divided into two sections. Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section. What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines?

38.2 m

Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. A third side measures (2n + 3) cm. What are the lengths of two adjacent sides of the parallelogram?

4 cm and 7 cm

The hypotenuse of a 45°-45°-90° triangle measures in. What is the length of one leg of the triangle?

5 /10

Rhombus LMNO is shown with its diagonals. Angle MLO measures 112°. What is the measure of angle MLP?

56 degrees

To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. The tree meets the ground at a right angle. At approximately what angle does the wire meet the ground?

56.4°

The chords intersect at point U. What is the value of y?

6

A right prism has a rhombus as a base. The height of the prism is 6 inches and the volume is 144 cubic inches. Which could be the lengths of the diagonals of the rhombus?

6 in. by 8 in.

What is the measure of each exterior angle of a regular hexagon?

60°

In circle Y, what is m TU?

82°

Figure ABCD is a square. Prove BD ≅ AC. Statements Reasons1.ABCD is a square1.given2.∠DAB, ∠ABC, ∠BCD, and ∠CDA are right angles2.definition of a square3.∠DAB ≅ ∠ABC ≅ ∠BCD ≅ ∠CDA3.right angles are congruent4.AB ≅ BC ≅ CD ≅ DA4.?5.△BAD ≅ △ABC5.SAS6.BD ≅ AC6.CPCTC

all sides of a square are congruent

Which equation can be used to find the measure of angle LKJ?

sin−1(8.9/10.9) = x

Which is the base shape of this prism?

triangle

Henry and Liani have 200 feet of wood to frame a flower bed. Henry wants the bed to be a square, while Liani wants it to be a rectangle with dimensions of 55 feet and 45 feet. Which statement is true regarding the areas of the two flower beds?

Henry's design would result in a larger flower bed because its area would be 2,500 square feet.