Prove the following statement using mathematical induction. Do not derive it from Theorem 5.2.1 or Theorem 5.2.2. For every integer n ≥ 1, 1 + 6 + 11 + 16 + + (5n − 4) = n(5n − 3) 2 .

Mario is constructing a frame for 10 in. by 8 in. photo. he wants the frame to be the same with all the way around in the same area of the frame and photo to be 120 square inches what is the dimension of the frame?

Ab and bc are tangent to circle d. find x is ab = 3x + 8 and bc = 26. find x

In a right triangle δabc, the length of leg ac = 5 ft and the hypotenuse ab = 13 ft. find: b the length of the angle bisector of angle ∠a.