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3 years ago

What is the sum of the interior angles of a hexagon?

Mathematics

1 answer:

Gala2k [10]3 years ago

3 0

Hello!

So, every interior angle of a regular hexagon measures 120 degrees.

There are six interior angles of a hexagon, so you have to multiply 120 by 6.

120 x 6 = 720

So, the answer to your question is that the sum of the interior angles of a hexagon is 720 degrees.

Hope this helps!

You might be interested in

Find the center of the circle that you can circumscribe about DABC.

Vlada [557]

The center of the circle that circumscribe about DABC is $(h,k) = (1, 5)$ .

A circle can be modelled after a expression of the form:

$A\cdot x + B\cdot y + C =-x^{2}-y^{2}$ (1)

We can determine all coefficients by knowing three <em>distinct</em> points on plane.

If we know that $(x_{1}, y_{1}) = (2, 8)$ , $(x_{2}, y_{2}) = (0, 8)$ and $(x_{3}, y_{3}) = (2, 2)$ , then the solution of the system of linear equations is:

$2\cdot A + 8\cdot B + C = -68$ (2)

$8\cdot B + C = -64$ (3)

$2\cdot A + 2\cdot B + C = -8$ (4)

$A = -2, B = -10, C = 16$

Now we proceed to <em>complete</em> squares and factor each resulting perfect square trinomial in order to determine the coordinates of the center of the circle:

$x^{2}+y^{2}-2\cdot x -10\cdot y +16 = 0$

$(x^{2}-2\cdot x +1)-1+(y^{2}-10\cdot y +25)-25 +16 = 0$

$(x-1)^{2}+(y-5)^{2}= 10$

The center of the circle that circumscribe about DABC is $(h,k) = (1, 5)$ .

To learn more on circles, we kindly invite to check this verified question: brainly.com/question/11833983

5 0

3 years ago

Help me fill this out thanks

sasho [114]

Answer-> ~29.66479 (29.7)

7 0

3 years ago

According to the U.S. Census Bureau, the mean of the commute time to work for a resident of Boston, Massachusetts, is 27.3 minut

Bond [772]

Answer:

By the Chebyshev Theorem, at least 75% of commuters in Boston has a commute time within 2 standard deviations of the mean

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by $100(1 - \frac{1}{k^{2}})$ .

What minimum percentage of commuters in Boston has a commute time within 2 standard deviations of the mean

By the Chebyshev Theorem, at least 75% of commuters in Boston has a commute time within 2 standard deviations of the mean

7 0

3 years ago

-PLEASE ANSWER- An experiment was repeated a number of times and the following measurements were obtained:

gladu [14]

Answer:

Step-by-step explanation:

From the given data, it can be observed that there are two number that are abnormal and extremely different from others, 322 and 19. Eliminating these two numbers would reduce the error that can be generated.

Then to obtain the best single result from the measurements, find the mean of the other numbers.

i.e 52.3, 52.5, 52.2, 52.6

Mean = $\frac{52.3 + 52.5 + 52.2 + 52.6}{4}$

= $\frac{209.6}{4}$

= 52.4

Thus the best single result that can be obtained is 52.4.

3 0

3 years ago

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. A. 4.54 B. 5.00 C. 5.83 D. 3

Kryger [21]

Answer:

5.83 = CD

Step-by-step explanation:

We can use the pythagorean theorem to solve

The legs are the x and y distances

x = (1- -4) = 5 units and y = 3 units

a^2+ b^2 = c^2

5^2 + 3^2 = c^2

25+9 = c^2

34 = c^2

Taking the square root of each side

sqrt(34) = c which is the distance from C to D

5.830951895 = CD

5.83 = CD

5 0

4 years ago