SOLUTION: In Rhombus ABCD the length of DC = 5x-10 and BC = 2x-17. Find the length of each side.

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Question 690836: In Rhombus ABCD the length of DC = 5x-10 and BC = 2x-17. Find the length of each side.
Answer by nyc_function(2741)   (Show Source): You can put this solution on YOUR website!
5x - 10 = 2x - 17
5x - 2x = -17 + 10
3x = -7
x = -7/3
Notice the answer for x is a negative number. After plugging this value for x into DC and BC, we get negative measure, which must be rejected because the distance of the sides of any geometric shape must be positive.

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