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strojnjashka [21]
3 years ago
15

Please answer this correctly

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0
0 Minutes 18 Seconds
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In parallelogram ABCD , diagonals AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E, AE=2x2−3x , and CE=x2+4 .
spin [16.1K]
If the diagonals of the parallelogram intersect with each other, this means that the diagonals bisect each other. Thus,

    AE = CE

Substituting the equations,

  2x² - 3x = x² + 4

The values of x from the equation are equal to 4 and -1. 

  AE = 2(4)² - 3(4) = 20

Hence, AC is equal to 40. 

Answer: 40 units
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