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Masteriza [31]
3 years ago
9

The perimeter of a stop sign has a perimeter of 16x2 - 80x. What is the length of one side?

Mathematics
1 answer:
uranmaximum [27]3 years ago
7 0
Since a stop sign is an octagon it has eight sides.  So the perimeter will be:

p=8x,  p=perimeter and x=side length.  We are told that the perimeter is equal to:

16x^2-80x so we can say:

16x^2-80x=8x subtract 8x from both sides

16x^2-88x=0  factor out 8x

8x(2x-11), since we know x>0

x=11/2

x=5.5 units
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3 years ago
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IrinaVladis [17]

Let s represent the measure of the second angle.

The measure of the first angle is 15° less than the second, so we can represent the first angle by (s-15).

The measure of the third angle is 45° more than half the second, so we can represent the third angle by (45+(s/2)).

The sum of these angles is 180°, so we can represent the sum as

... (s-15) + s + (45+s/2) = 180

Collecting terms, we have

... 2.5s +30 = 180

... 2.5s = 150 . . . . . . subtract 30

... s = 150/2.5 = 60 . . . . divide by the coefficient of s

The first angle is 60-15 = 45.

The second angle is 60.

The third angle is 45+60/2 = 75.

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<u>Check</u>

The sum of the three angles is 45 +60 +75 = 180.

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Answer:

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