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3 years ago

In the regual nonagon shown, what is the measure of angle x?

Mathematics

1 answer:

andre [41]3 years ago

4 0

The sum of the interior angles of a polygon is (n-2)*180, n being the number of sides.
a nonagon has nine sides, so the total of interior angles is (9-2)*180=7*180
this is a regular nonagon, so each interior angle has the same degrees:
7*180/9=7*20=140
the exterior angle=180-the interior angle=180-140=40
40 is the correct answer.

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The plot below shows the graphs of three functions, f, g, and h, all of which determine the population of three different cities

monitta

So, here we have an exponential function.

Remember that an exponential function has the form:

$y=a(b)^x=a(1\pm\frac{r}{100})^x$

Where a represents an initial amount, and r is the rate of this amount to change. (Increase, or decrease).

So, given that the population of City A in 2000 was 40 thousand people and the population increased by 13% each year, we can say that

$\begin{gathered} a=40 \\ b=1+\frac{13}{100}=1.13 \end{gathered}$

So,

$f(x)=40(1.13)^x$

For city B:

$\begin{gathered} a=40 \\ b=1+\frac{16}{100}=1.16 \\ g(x)=40(1.16)^x \end{gathered}$

But something different happens with city C. This is not an exponential function, this is a linear function.

So,

$h(x)=40+10x$

7 0

9 months ago

Solve 2x + 5y = –13. 3x – 4y = –8

disa [49]

If you would like to solve 2x + 5y = - 13 and 3x - 4y = -8, you can do this using the following steps:

2x + 5y = -13 /*4
3x - 4y = -8 /*5
_________________
8x + 20y = -52
15x - 20y = -40
_________________
8x + 15x + 20y - 20y = -52 - 40
23x = -92 /23
x = -92 / 23
x = -4

2x + 5y = -13
2 * (-4) + 5y = -13
-8 + 5y = -13
5y = -13 + 8
5y = -5
y = -1

(x, y) = (-4, -1)

The correct result would be D.) (-4, -1).

8 0

3 years ago

Read 2 more answers

What operation does the Product Rule use

kumpel [21]

Answer:

addition

Step-by-step explanation:

Example: 5^1 * 5^3= 5^4

4 0

2 years ago

In science class, the average score on a lab report is 82 points, with all the students scoring within 3.2 of the average. If x

rodikova [14]

Answer: |x − 82| = 3.2.

that is your answer

Step-by-step explanation:

5 0

1 year ago

A garden is shaped like a rectangle whose perimeter is 150 ft. The length is 2 times as long as the width. Find the length and t

vlabodo [156]

Answer:

Step-by-step explanation:

L=2W

P=2(L+W), using L=2W this becomes

P=2(2W+W)

P=2(3W)

P=6W, given P=150

6W=150

W=25, and since L=2W

L=50 so

L=50ft and W=25ft

6 0

2 years ago