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If abcd is a parallelogram with AB=3x-4 , BC= 2x+7 and CD = x+18 what type of paralleogram is ABCD

User Arnoldino
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1 Answer

14 votes
14 votes

Answer:

rhombus

Explanation:

If ABCD is a parallelogram, then AB and CD are opposite sides and should be equal

3x - 4 = x + 18

subtract x.

2x - 4 = 18

add 4.

2x = 22

divide by 2.

x = 11

Find the lengths of the sides.

AB= 3(11)-4 = 29

BC= 2(11)+7 = 29

CD = 11+18 = 29

If BC is 29, then DA must also be 29. So all four sides are the same, it is a rhombus.

User FelixM
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