SOLUTION: Trying to help my son who is a military student in Hawaii!! find the variable for each parallelogram RZ=2x+5 SW=5x-20 Rectangle has a line through one diagonal of RZT and

Question 286760: Trying to help my son who is a military student in Hawaii!!
find the variable for each parallelogram
RZ=2x+5
SW=5x-20
Rectangle has a line through one diagonal of RZT and the other is SZW
Answer by Edwin McCravy(20086) (Show Source): You can put this solution on YOUR website!


I will assume thie rectangle is like this:



The red line RZ is 2x+5.  

The diagonals of a parallelogram bisect each other.

The red line RZ, which is 2x+5 is one-half of the diagonal RT.

The diagonals of a rectangle are equal.  So

    2(RZ) = RT = SW

    2(RZ) = SW

2(2x + 5) = 5x - 20
 
  4x + 10 = 5x - 20

       30 = x

Edwin

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