SOLUTION: Use rhombus XYZW with m<WYZ=53, Vw=3, XV=2a-2, and ZV= 5a+1 over --> /4

Algebra ->  Pythagorean-theorem -> SOLUTION: Use rhombus XYZW with m<WYZ=53, Vw=3, XV=2a-2, and ZV= 5a+1 over --> /4      Log On


   

Question 701230: Use rhombus XYZW with m /4
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
  

The diagonals of a parallogram bisect each other,
so we set the measure of XV equal to the measure of ZV

 2a-2 = %285a%2B1%29%2F4

Multiply both sides by 4

 8a-8 = 5a+1
   3a = 9
    a = 3

So the measure of XV is 2a-2 or 2(3)-2 = 4,
wjich is also the measure of ZV:

   matrix%287%2C1%2C%0D%0A%0D%0ASo%2Cthe%2C+four%2C+sides%2Care%2C5%2Ceach%29. 

There was no need to be given the 53° angle.

Edwin