SOLUTION: the expressions 5x+13 and 10x-7 represent the lengths (in inches) of two sides of an equilateral octagon. find the length of a side of the octagon
Question 240478: the expressions 5x+13 and 10x-7 represent the lengths (in inches) of two sides of an equilateral octagon. find the length of a side of the octagon Found 2 solutions by jim_thompson5910, solver91311:Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! Hint: Since we're given an "equilateral octagon", this means that all of the sides are of equal length. So . Simply solve this equation for 'x' to find the side lengths.
If the octagon is equilateral, a word literally meaning "equal sided," then any two sides of the octagon are equal to each other. Specifically, the side labeled and the side labeled are equal to each other.
That means that
Just solve for and then plug that value back into either of the expressions used to label the sides. Do the arithmetic. That's your answer. Plug the value of into the other expression and do the arithmetic to check your work.
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