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If RE = 4x + 7, ET = 2(3x - 4), and RT = 43, then find the value for x, RE, and ET.

1 Answer

3 votes
As we can see point E is between RT.

So we can write RE + ET = RT

As given RE = 4x+7 , ET = 2(3x - 4) and RT = 43.

So
4x+7 + 2(3x - 4) = 43


4x + 7 + 6x - 8 = 43

10x - 1 = 43


10x = 43 + 1


10x = 44


x = (44)/(10) = 4.4

So RE = 4*(4.4) + 7 = 17.6 + 7 = 24.6
answered
User Christian Conkle
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