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Effectus [21]
3 years ago
10

What is the sum of the measures of the interior angles of an octagon

Mathematics
2 answers:
nevsk [136]3 years ago
8 0

Answer:

1080°

Step-by-step explanation:

hope it's helpful

vladimir2022 [97]3 years ago
5 0
All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1080 degrees (from above)... And there are eight angles... So, the measure of the interior angle of a regular octagon is 135 degrees.
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Answer:

f(x) = 7\, ((1/2)^{x}).

Step-by-step explanation:

An exponential function is typically in the form f(x) = a\, (b^{x}), where a and b (b > 0) are constants to be found.

In this question:

f(2) = 1.75 means that a\, (b^{2}) = 1.75.

f(-2) = 28 means that a\, (b^{-2}) = 28.

Divide one of the two equations by the other to eliminate a and solve for b.

The number of the right-hand side of the second equation is larger than that of the first equation. Hence, divide the second equation with the first:

\displaystyle \frac{a\, (b^{-2})}{a\, (b^{2})} = \frac{28}{1.75}.

\displaystyle b^{-4} = 16.

b^{-1} = 2.

\displaystyle b = \frac{1}{2}.

Substitute b = (1/2) back into either equation (for example, the first equation) and solve for a:

a\, ((1/2)^{2}) = 1.75.

a = 7.

Substitute a = 7 and b = (1/2) into the other equation. That equation should also be satisfied.

Therefore, this function would be:

f = 7\, ((1 / 2)^{x}).

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Answer:

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