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Iteru [2.4K]
3 years ago
5

What is the measure of angle b

Mathematics
1 answer:
tigry1 [53]3 years ago
7 0

Answer:

36°

Step-by-step explanation:

By remote interior angle theorem:

b + 81° = 117°

b = 117° - 81°

b = 36°

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Step-by-step explanation

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How is the formula for finding the sum of interior angle measures of polygons dervived
SSSSS [86.1K]

Step-by-step explanation:

Draw lines from one vertex to the other vertices, splitting the polygon into triangles.  If the polygon has n sides, there will be n−2 triangles.  Each triangle's angles add up to 180°.  So the sum of all the interior angles is:

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8 0
3 years ago
You have read 4 of the books shown. Which choice shows 2 ways of writing the fraction of these books that you read?
Olegator [25]
  • Total books read: 4
  • Total books in list: 12

So it can be shown as:

\sf \dfrac{read \ books}{total \ books \ in \ list}

\hookrightarrow \sf \dfrac{4}{12}

on simplifying

\hookrightarrow \sf \dfrac{1}{3}

So, option 1 is correct.

8 0
2 years ago
Read 2 more answers
a pyramid has a regular hexagonal base with side length of 4 and a slant height of 6. what is the total area of the pyramid
Stels [109]
So hmm notice the picture below

the pyramid itself, is really, just one regular hexagon, at the bottom
and 6 triangles, stacked up at each other at the edges

now, if you just get the area of the regular hexagon, and the 6 triangles, add them up, that'd be the total surface area of the pyramid then
\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{4}\cdot  n\cdot  s^2\cdot  cot\left( \frac{180}{n} \right)\qquad 
\begin{cases}
n=\textit{number of sides}\\
s=\textit{length of a side}\\
\frac{180}{n}=\textit{angle in degrees}\\
----------\\
n=6\\
s=4
\end{cases}\\\\\\ A=\cfrac{1}{4}\cdot  6\cdot  4^2\cdot  cot\left( \frac{180}{6} \right)

now, for the triangles, well, area of a triangle is 1/2 bh, as you'd know, and you have both

8 0
3 years ago
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