Ask question

Ask question

All categories

3 years ago

8

The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?

2 answers:

matrenka [14]3 years ago

7 0

There are 18 sides.....

harina [27]3 years ago

5 0

Let

S------> The sum of the measures of the interior angles of a polygon

n-------> number of sides of a polygon

we know that

The formula to find the sum of the measures of the interior angles of a polygon is equal to

$S=(n-2)*180$ °

in this problem

$S=2880$ °

Solve for n

$S=(n-2)*180\\ \\ n=\frac{S}{180}+2\\ \\ n=\frac{2880}{180}+2\\ \\ n=16+2\\ \\ n=18\ sides$

therefore

the answer is

$18\ sides$

You might be interested in

Which two points of concurrency can you locate by only drawing perpendicular segments? Select all that apply.

Tresset [83]

I am going to say it’s C

Hope it helps!

7 0

3 years ago

Read 2 more answers

Here's a graph of a linear function. Write the

Natalija [7]

Answer:

$\large\boxed{y=\dfrac{1}{4}x+3}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

From the graph we have the points (4, 4) and (0, 3) → b = 3.

We have the equation:

$y=mx+3$

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Put the coordinates of the points:

$m=\dfrac{3-4}{0-4}=\dfrac{-1}{-4}=\dfrac{1}{4}$

Finally we have:

$y=\dfrac{1}{4}x+3$

7 0

3 years ago

Help with proofs please

allsm [11]

Answer:

A. addition property of equality

Step-by-step explanation:

hope it helps

3 0

2 years ago

Express Car Rentals charges $5 per day to rent a compact car plus a mileage rate of $0.34 per mile.

Otrada [13]

Answer:
what is the linear c d

4 0

3 years ago

Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well

laiz [17]

Answer:

The value is $P(A) = 0.133617$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 7.5$

The standard deviation is $\sigma = 0.2$

The safest water level is between 7.2 and 7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

$P(A) = 1 - P(7.2 \le X \le 7.8 )$

Here

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } < \frac{X - \mu }{ \sigma }$

Generally $\frac{X - \mu }{ \sigma } = Z (The \ standardized \ value \ of X )$

So

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z$

$P(7.2 < X < 7.8 ) = P(-1.5 < Z$

=> $P(7.2 < X < 7.8 ) = P(Z < 1.5) - P( Z < - 1.5)$

From the z-table the probability of (Z < -1.5) and ( Z <1.5) are

$P(Z < 1.5) = 0.93319$

and

$P(Z < -1.5) = 0.066807$

So

$P(7.2 < X < 7.8 ) =0.93319 - 0.066807$

$P(7.2 < X < 7.8 ) =0.0866383$

So

$P(A) = 1 - 0.0866383$

=> $P(A) = 0.133617$

5 0

3 years ago