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The ratio of the perimeter of a regular hexagon to the length of one of its sides is always 6 to 1.Complete the table.Perimeter of hexagon (inches) 6 30 48 Side length of hexagon (inches) 1 9Graph the data from the table.612182430364248546012345678910xyPerimeter of hexagon (inches)Side length of hexagon (inches)SubmitQuestionsanswered17Timeelapsed00 19 24HR MIN SECSmartScoreout of 10061Need a break?

Question

The ratio of the perimeter of a regular hexagon to the length of one of its sides is always 6 to 1.Complete the table.Perimeter of hexagon (inches) 6 30 48 Side length of hexagon (inches) 1 9Graph the data from the table.612182430364248546012345678910xyPerimeter of hexagon (inches)Side length of hexagon (inches)SubmitQuestionsanswered17Timeelapsed00 19 24HR MIN SECSmartScoreout of 10061Need a break?

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Solution

The table should be completed as follows:

Perimeter of hexagon (inches): 6, 30, 48, 54 Side length of hexagon (inches): 1, 5, 8, 9

This is because the ratio of the perimeter of a regular hexagon to the length of one of its sides is always 6 to 1. Therefore, if the side length is 5 inches, the perimeter would be 30 inches (56). Similarly, if the side length is 8 inches, the perimeter would be 48 inches (86). And if the side length is 9 inches, the perimeter would be 54 inches (9*6).

To graph the data, you would plot the side lengths on the x-axis and the perimeters on the y-axis. The points would be (1,6), (5,30), (8,48), and (9,54). The graph would show a straight line, indicating a constant ratio of 6 to 1.

This problem has been solved

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