Quiz for 03/22/24 - Composite Figures and Angle Relationships

A design for a desk is composed of a trapezoid and a quarter-circle. Some side lengths of the desk design are shown. Which measurement is closest to the area of the desk in square feet?

• 103.27 ft²

• 113.55 ft²

• 131.55 ft²

• 134.52 ft²

A circle with a radius of 16 centimeters is inscribed in a square. Which measurement is closest to the area of the shaded region in square centimeters?

• 804.25 cm²

• 1024 cm²

• 822.94 cm²

• 220.16 cm²

Angle P and angle Q are supplementary angles. If the measure of angle P is 62° and the measure of angle Q is (3x - 14)°, what is the value of x?

• 44

• 25 1/3

• 14

• 132

Tags

CCSS.7.G.B.5

A diagram of a community swimming pool is shown. The community would like a cover for the Children's Pool and Diving Area. How many square meters of covering will be needed?

Tags

CCSS.3.MD.C.7D

The figure shown is composed of rectangles and triangles. Calculate the area of the shaded region in square feet.

Tags

CCSS.6.G.A.1

Determine the difference between the area of the shaded region and the area of the non-shaded region in square feet.

Alan is making a cardboard structure for his children to play in. The diagram represents the net of the three-dimensional structure. How much cardboard in square feet will Alan need to build the structure?

Tags

CCSS.6.G.A.4

The cardboard Alan plans to use costs $0.30 per square foot. How much will Alan spend to build the structure out of cardboard?

Tags

CCSS.7.G.B.6

The figure shown includes pairs of supplementary angles and pairs of vertical angles. - Angle 1 is (3x + 26)° - Angle 2 is (5x + 10)° - Angle 4 is 100° - Angle 6 is 125° Determine the value of x. Explain your reasoning.

Tags

CCSS.7.G.B.5

Elm Street, Continental Road, and Jefferson Avenue intersect at one point on the map shown. Elm Street and Continental Road are perpendicular to each other. If m∠2 = (2x + 10)° and m∠3 = 40°, determine the value of x.

Tags

CCSS.7.G.B.5