What are the measures of Angles a, b, and c? Show your work and explain your answers. (10 points) What are the measures of Angles a, b, and c? Show your work and explain your answers. (10 points)

Two straight lines intersect at a point to form angle A. The measure of the angle opposite to angle A is 30 degrees. Angle A is the angle of a right triangle having another angle equal to B. A triangle with one angle labeled C is on the left of the figure.

An image of a prism is shown below:
A right rectangular prism is shown.
Part A: A cross-section of the prism is cut with a plane parallel to the base. What is the name of the shape created by the cross-section? Explain your answer. (5 points)

Part B: If a cross-section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross-section? Explain your answer. (5 points)

Circle A has a diameter of 9 inches, a circumference of 28.26 inches, and an area of 63.585 square inches. The diameter of circle B is 5 inches, the circumference is 15.70 inches, and the area is 19.625 square inches.
Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)
Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)
Part C: What observation can you make about the value of pi for circles A and B? (2 points)

A candy bar box is in the shape of a triangular prism. The volume of the box is 3,240 cubic centimeters.
A triangular prism is shown with base of triangle labeled 24 cm, sides of the triangle labeled 15 cm, and length of the box equal to 30 cm.
Part A: What is the height of the box? Show your work. (5 points)

Part B: What is the approximate amount of cardboard used to make this candy box? Explain how you got your answer. (5 points)