Mauro has 140 ft. of rope. he will cut it into two pieces so that the length of the longer piece is 3 times the length of the shorter piece. what will the length of the longer piece be? what will the length of the shorter piece be? how do you know? describe the process you used to solve. hint: there are many ways to solve this! if you are stuck, use your knowledge of systems of equations to solve. for example, let x be the length of the shorter piece and y be the length of the longer piece.

Flashback to semester a. are triangles pqr and stu congruent? what is the congruency that proves they are congruent? what is the perimeter of triangle pqr? show your work.

Combine the information in the problem and the chart using the average balance method to solve the problem.

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.