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algol13
3 years ago
10

Figure ABCD is a parallelogram.

Mathematics
2 answers:
Vladimir [108]3 years ago
8 0
ФThe Answer is D).<span>AB = 10; BC = 28.</span>Ф
Eduardwww [97]3 years ago
7 0

It is given ABCD is a parallelogram.In a parallelogram opposite sides are equal.

AB=DC and  AD=BC.

Substituting the given values in terms of x ad y we have:

3y-2=y+6                and 2x-4=x+12

Solving for x and y ,

3y-y=6+2               and      2x-x=12+4

2y=8                    and  x=16.

y=4                     and          x=16.

AB=3y-2             and        BC=x+12

AB=3(4)-2          and      BC= 16+12=28.

AB=10.

The correct answer is AB = 10; BC = 28.

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