Vitaly cracks open a piggy bank and finds $4.05 (405 cents), all in nickels and dimes. there are 9 more dimes than nickels. how many nickels does vitaly have?

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.