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For what value of x must the quadrilateral be a parallelogram ? Than it shows 4x on one side of the shape than 3(x+6).

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2 Answers

 It seems like 4X , 3(x + 6) are diagonal of the quadrilateral , in order for the quadrilateral be parallelogram
  has to be equal length.
  In which case solution of Patricia S . is the answer. Otherwise the problem doesn't make any sense whatsoever.
Are the 4x and 3(x+6) on opposite sides of the quadrilateral? If so, you can solve for x by setting them equal to each other (opposite sides of a parallelogram have equal lengths).  It would look like this:
4x = 3(x+6)
4x = 3x+18
x = 18
Good luck!