Triangle ABC maps to triangle XYZ by a rotation of 90∘ counterclockwise about the origin followed by a reflection across the line y=x. In triangle ABC, m∠A=45∘, m∠B=55∘, and m∠C=80∘. What is the measure of ∠Y?

Enter your answer as the correct value, like this: 42

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate is the height of the pile changing when the pile is 12 feet high? (hint: the formula for the volume of a cone is v = 1 3 πr2h.)

Need solving this second acceleration problem.

Use complete sentences to differentiate between a regular tessellation, and a pure tessellation. be sure to include specific types of polygons in your explanation.