Abc is equilateral with AB=3x-2, BC=2x+4, and CA = x+10

Question

Mathematics

Aidyn

24 January, 03:30

Abc is equilateral with AB=3x-2, BC=2x+4, and CA = x+10

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Answers (1)

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Angel Proctor · Answer 1

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)