liloja3813 liloja3813
  • 16-01-2021
  • Mathematics
contestada

Find x and y so the quadrilateral is a parallelogram.

Find x and y so the quadrilateral is a parallelogram class=

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sqdancefan
sqdancefan sqdancefan
  • 16-01-2021

9514 1404 393

Answer:

  • x = 7
  • y = 4

Step-by-step explanation:

The diagonals of a parallelogram cross at their midpoints. This means the segments of each diagonal are equal in length:

  RT = PT

  x = 5x -28

  28 = 4x . . . . . add 28-x

  7 = x . . . . . . . .divide by 4

__

  QT = ST

  5y = 2y +12

  3y = 12 . . . . .subtract 2y

  y = 4 . . . . . . divide by 3

The values of x and y that make the figure a parallelogram are x=7 and y=4.

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