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iris [78.8K]
3 years ago
8

A is the midpoint of LB, LB = 6x - 17 and AB = 2x + 3

Mathematics
1 answer:
velikii [3]3 years ago
3 0
6x - 17 = 2(2x + 3) since AB is half of what LB is. Therefore AB would have to be doubled to make them equal. Then 6x - 17 = 4x + 6 by distribution, and 2x - 17 = 6 by subtraction, and 2x = 23. So x = 11.5
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Ruby's hours will represent x+6
Svetlana's hours will represent 4(x+6)
Issac will represent x.

The equation would read:
x+(x+6)+(4(x+6))=126
x+x+6+4x+24=126
6x+30=126
Subtract 30 from both sides.
6x=96
Divide 6 on both sides to get x by itself.
x=16

So:
Issac worked 16 hours
Ruby worked 22 hours
Svetlana worked 88 hours.

To check your answer, plug in the values:
16+22+88=126
126=126

Hope this helps.
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