Match the given conditions to the number of triangles that can be constructed from them. the lengths of the three sides are 4 centimeters, 2 centimeters, and 7 centimeters. the measures of two angles are 30° and 60° and the length of the included side is 12 inches. the measures of the three angles are 45°, 75°, and 60°. number of triangles given conditions 0 1 infinitely many

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

Each day jake donates money to the global.

Since we have computer algebra systems that can solve polynomial division problems for us, why is it necessary to learn how to do these things by hand?