Mrs. Lewis has placemats that are in the shape of trapezoids. She knows that the perimeter of each one is 50 inches. She also knows the length of three sides: 12 inches, 12 inches, and 15 inches. What is the length of the fourth side? Enter your answer in the box.

Geometry in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.

Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?

Biggest exam of the which of the following are polynomial functions?