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3 years ago

The sum of the measures of the interior angles of a polygon with n sides is __.

Mathematics

2 answers:

melisa1 [442]3 years ago

8 0

Answer: The sum of the measures of the interior angles of a polygon is always 180(n-2) degrees, where n represents the number of sides of the polygon. The sum of the measures of the exterior angles of a polygon is always 360

attashe74 [19]3 years ago

3 0

Answer:

B) (n-2)180°

Step-by-step explanation:

For any polygon, we can draw 2 fewer triangles than the given number of sides.

The sum of the measures of the angles of any triangle is 180°. Since there are (n-2) triangles in every polygon, this means the sum of the measures of the angles of any polygon with n sides is

(n-2)180.

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Find the variance for the given sample data, Round your answer to one more decimal place than the original data 7 725 1 A. 11.8

VladimirAG [237]

Answer:

D. 7.7

Step-by-step explanation:

7.725, 2 does not round up so its left to 7.7

5 0

3 years ago

John is renting a car.The car cost 36 dollars each day plus $0.50 per mile over 100 miles.John rents the car for 5 days and driv

Deffense [45]

Answer:

36*5+80 =260

Step-by-step explanation:

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6 0

3 years ago

Which of the following correctly describes the domain of the function shown

labwork [276]

Option D:

$\{x: x \neq 1\}$ is the domain of the function.

Solution:

Given function is

$$r(x)=\frac{2 x}{x-1}$

<u>To find the domain of the function:</u>

Option A: $\{x: x \neq 0\}$

Substitute x = 0 in r(x).

$$r(0)=\frac{2 \times 0}{0-1}=0$

If x = 0, then r(0) = 0

So that x ≠ 0 is false.

So, $\{x: x \neq 0\}$ is not the domain of the function.

Option B: $\{x: x \neq \pm 1\}$

Substitute x = –1 in r(x).

$$r(-1)=\frac{2 \times (-1)}{-1-1}=1$

If x = –1, then r(–1) = 1

So that x = ± 1 is false.

So, $\{x: x \neq \pm 1\}$ is not the domain of the function.

Option C: $\{x: \text { all real numbers }\}$

Substitute x = 1 in r(x).

$$r(1)=\frac{2 \times 1}{1-1}=\frac{2}{0}$

It is indeterminate.

So, all real numbers are not the domain of the function.

Option D: $\{x: x \neq 1\}$

Substitute x = 1 in r(x).

$$r(1)=\frac{2 \times 1}{1-1}=\frac{2}{0}$

It is indeterminate.

So, $\{x: x \neq 1\}$ is the domain of the function.

4 0

3 years ago

I NEED HELP ASAP!!!!

GuDViN [60]

Answer:

the first one

Step-by-step explanation:

7 0

3 years ago

Can someone answer these please !!!!!!

katen-ka-za [31]

A. m^2 - 36 = 0
m^2 = 36
m = √36 = 6 or -6

b. 3x^2 + 15 = 0
3x^2 = -15
x^2 = -5
x = √(-5) not possible unless complex numbers is applied
-1 = i^2
x = √(-5) = √(5i^2) = √5i

c. 4d^2 + 16 = 16
4d^2 = 0
d^2 = 0
d = 0

Hope it helped!

4 0

3 years ago