Ahospital cafeteria has 20 20 tables. 65% 65 % of the tables have 6 6 chairs at each table. the remaining 35% 35 % of the tables have 4 4 chairs at each table. complete the model. then complete the statements to find the total number of chairs in the hospital cafeteria.

On a string instrument, the length of a string varies inversely as the frequency of its vibrations. an 11-inch string has a frequency of 400 cylces per second. find the frequency of a 10-icnch string.

Proving the parallelogram diagonal theoremgiven abcd is a parralelogam, diagnals ac and bd intersect at eprove ae is conruent to ce and be is congruent to de

Prove the converse of the pythagorean theorem using similar triangles. the converse of the pythagorean theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squares length of the hypotenuse, the triangle is a right triangle. be sure to create and name the appropriate geometric figures.