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kati45 [8]
3 years ago
7

Geometry help? How would I solve this?

Mathematics
1 answer:
Firlakuza [10]3 years ago
8 0
\bf \textit{sum of interior angles in a regular polygon}
\\\\\\
n\theta=180(n-2)\qquad 
\begin{cases}
n=\textit{number of sides}\\
\theta=\textit{angle in degrees}
\end{cases}
\\\\\\
\textit{notice, your two polygons, are just two regular octagons}\\
\textit{OCTAgons, thus OCTA = 8, 8 sides, thus}
\\\\\\
n\theta=180(n-2)\qquad n=8\implies 8\theta=180(8-2)
\\\\\\
\theta=\cfrac{180\cdot 6}{8}

so... that's how much an internal angle is
now, subtract that from 180 and you get the angle outside, in the picture

subtract that outside angle twice from 180, and you get angle "2"
because angle 2 is in the same triangle as those two outside angles, and all internal angles in a triangle is 180, thus 180 - (those two angles) is angle "2"

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6 0
3 years ago
Jason’s savings account has a balance of $2179. After 5 years , what will the amount of interest be at 6% compounded quarterly?
satela [25.4K]

Answer:

$755.80

Step-by-step explanation:

Determine the compound amount first and then subtract the principal from it, to find the amount of interest.

The compound amount formula is A = P (1 + r/n)^(nt), where

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We get:

A = $2179(1 + 0.06/4)^(4*5), or $2179(1.015)^20, or $2179(1.347) = $2937.80.

The compound amount is $2934.80.  Subtracting the $2179 principal results in the interest earned:  $755.80.

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3 years ago
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8 0
3 years ago
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Equation describes a sloping line. For any
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3 years ago
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6

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3 years ago
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