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Gnoma [55]
4 years ago
9

If C is between A and B, then answer the following if AB=40, AC= 2x+10, CB= 3x-5

Mathematics
1 answer:
Marat540 [252]4 years ago
6 0

If C is between A and B, then, we can write the equation

AB = AC + CB


Substitute the value of AB and the expressions for AC and CB in terms of x.


40 = (2x+10)+(3x-5)


We can now solve for x.



40-10+5= 2x+3x



35=5x


Dividing by 5.


7=x


AB=40



AC=2(7)+10



AC=14+10



AC=24




BC=3(7)-5



BC=21-5


BC=16



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