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finlep [7]
3 years ago
5

Suppose ABCD is a parallelogram. Find the value of x and y.

Mathematics
1 answer:
Lilit [14]3 years ago
3 0

answer:

x = 4

y = 19

step-by-step explanation:

  • we know that this is a parallelogram, so opposite sides are equal
  • this is one of the properties of a parallelogram

therefore,

segment AB = segment DC <em>and</em> segment AD = segment BC

  • now plug in the expressions according to what we know (& solve)

AB = DC

5x - 13 = 9x - 29

-13 = 4x - 29

16 = 4x

x = 4

AD = BC

3y - 11 = 2y + 8

y - 11 = 8

y = 19

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