Khalif is cleaning his room and kicks a hat off the floor to the top of a bookshelf. If he is standing 5 feet from the shelf and he kicks the hat 18 feet, how tall is the shelf? Round to the nearest tenth if necessary.

If x + 10 = 70, what is x? a. 40 b. 50 c. 60 d. 70 e. 80

Nina has prepared the following two-column proof below. she is given that ∠oln ≅ ∠lno and she is trying to prove that ol ≅ on. triangle oln, where angle oln is congruent to angle lno nina made two errors in the proof. identify and correct the errors.

The length of a rectangular board is 3 feet less than twice its width. a second rectangular board is such that each of its dimensions is the reciprocal of the corresponding dimensions of the first rectangular board. if the perimeter of the second board is one-fifth the perimeter of the first, what is the perimeter of the first rectangular board?