If JKLM is a rectangle, JL = 2x+5 and MK =7x-40. Find x and MK

x = 9

MK = 23

Step-by-step explanation:

LL = MK (diagonals)

2x+5 = 7x-40

5x = 45

x = 9

MK = 7(9) -40

MK = 23

Step-by-step explanation:

In a rectangle, diagonals are congruent

MK = JL

7x - 40 = 2x + 5  {Add 40 to both sides}

7x - 40 + 40 = 2x + 5 +40

             7x   = 2x + 45            {Subtract 2x form both sides}

         7x - 2x = 2x - 2x + 45

              5x  = 45             {Divide both sides}

           5x/5  = 45/5

x = 9

MK = 7x - 40

     = 7*9 - 40

     = 63 - 40

MK = 23