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vlabodo [156]
3 years ago
13

What is the sum of measures of the exterior angles of a polygon that has fifteen sides

Mathematics
1 answer:
madreJ [45]3 years ago
8 0

\bf \textit{sum of exterior angles}\\\\ n\theta =360~~ \begin{cases} n=\textit{number of sides}\\ \theta = \textit{angle in degrees}\\[-0.5em] \hrulefill\\ n=15 \end{cases}\implies 15\theta =360 \\\\\\ \theta =\cfrac{360}{15}\implies \theta =24

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Which of the sequences is an arithmetic sequence?
Bogdan [553]
<h3>Answer: Choice A</h3>

This is because we're adding -6 to each term, i.e. subtracting 6 from each term, to get the next term

  • -2+(-6) = -8
  • -8+(-6) = -14
  • -14+(-6) = -20
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and so on. The gap between adjacent terms is the same width. We say that the common difference is d = -6.

5 0
2 years ago
What is the slope of the line through (-5, -3) and (-5, -7)?
Paul [167]

Answer:

The answer is undefined.

Step-by-step explanation:

Slope is found using this equation: y-y1/x-x1. Fill in the coordinates to this equation. It should now look like this. -7--3/-5--5. When subtracting from two negatives, it changes into a positive. For example, -7--3 becomes -7+3, which equals -4. The same thing applies for the second part. -5--5 becomes -5+5, which equals 0. So, your slope is -4/0. However, when a 0 is in the denominator, it becomes undefined. So, the answer is undefined.

5 0
3 years ago
Eric made a scale drawing of the auditorium. The stage, which 15 35 feet wide in real life,
Molodets [167]
Based on the given conditions, formulate: 5/35
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7 0
2 years ago
Given the following functions f(x) and g(x), solve f over g(−4) and select the correct answer below:
marishachu [46]
\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}\\\\f(x)=4x-4;\ g(x)=x-1\\\\f(-4)=4\cdot(-4)-4=-16-4=-20\\\\g(-4)=-4-1=-5\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{-20}{-4}=4
5 0
3 years ago
Read 2 more answers
a student played a computer game 500 times and won 370 of these game. he then won the next "x" games and lost none. he has now w
a_sh-v [17]

So, this is a proportion problem. If we express 75% as a fraction (3/4ths), we have:

\frac{370+x}{500+x}=\frac{3}{4}

Since he won all of his games, we add the number won (x), to the number previously won and divide it by the total games played which is just the previous games played plus the number of current games played, so since he lost no games we still add x to the denominator as well. Solving this gives us:

4(370+x)=3(500+x) \implies\\ 1480+4x=1500+3x \implies \\ x=20

That x value is 20.

3 0
2 years ago
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