4. In the diagram, line l bisects QR at M. Set up an equation, solve for x, and find QR.

x = 5       QR = 32

Step-by-step explanation:

QM = 2x + 6, MR = 5x - 9          Given

M is midpoint of QR                  Given

QM = MR                                    Definition of Midpoint

2x + 6 = 5x - 9                           Substitution

       6 = 3x - 9                           Subtraction

      15 = 3x                                 Addition

       5 = x                                    Division

QM = 2(5) + 6                          Substitution

      = 10 + 6                             Simplify

      = 16                                    Simplify

MR = QM =16                        

QM + MR = QR                      Segment Addition Postulate

16   +  16  = QR                      Substitution

           32 = QR                      Simplify

answer: 38.47 is your answer

step-by-step explanation: hope i you and who ever sees this answer have a great rest of your day : )