jenniferes186p96qba jenniferes186p96qba
  • 23-05-2018
  • Mathematics
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abc is equilateral with AB=3x-2,BC=2x+4, and CA= x+10

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altavistard
altavistard altavistard
  • 23-05-2018
AB = BC, so 3x-2 = 2x+4.  Also, BC = CA, so 2x+4=x+10.

Solve this system of linear equations:

3x-2 = 2x+4
2x+4=x+10 => x=6

Check:  Does AB=BC?  Does AB=BC?

Does 3(6)-2 = 2(6)+4?  Does 16=16?  YES.
Does BC = CA?  Does 2(6)+4 = 6+10?  YES

x = 6 (answer)
Answer Link

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