All categories

3 years ago

A regular convex polygon has eight sides. What is the measure of an exterior angle?

Mathematics

2 answers:

tigry1 [53]3 years ago

7 0

<u>Answer:</u>

Exterior angle = 45°

<u>Step-by-step explanation:</u>

We know that the sum of exterior angles of a polygon is 360 degrees.

Since here we a regular polygon with eight sides (which makes it an octagon) so this means that the interior angles each would be equal to:

$\frac{(n - 2) \times 180}{n} \\ \frac{(8 - 2) \times 180}{8}\\ \frac{6 \times 180}{8} \\ \frac{1080}{8}$ = 135 degrees

We know that each interior angle is supplementary to the exterior angle at the vertex.

So each exterior angle = $180-135$ = 45 degrees

PSYCHO15rus [73]3 years ago

4 0

Answer:

The measure of one exterior angle is 45 degrees.

Step-by-step explanation:

The formula to find exterior angle of and shape is 360 degrees divided by n (number of sides the shape has). 360 divided by 8 = 45 degrees.

You might be interested in

The opposite of -4 is ?

Sidana [21]

4, 10, loss, deposit, -8,5,6,|-7|,8

7 0

4 years ago

Read 2 more answers

10 more than 10 times a number is -10. Group of answer choices

igor_vitrenko [27]

A -2

(Blank space filler$

6 0

1 year ago

A circle has a sector with area 1/2pi and central angle of 1/9pi radians what is the area of the circle?

Mazyrski [523]

Answer:

Step-by-step explanation:

It’s daddy

4 0

3 years ago

What is the reciprocal of 4 5/8

Andrei [34K]

Answer:

8/45

Step-by-step explanation:

Write 4 5/8 as an improper fraction: 45/8.

Then invert this result, obtaining:

. This is the "reciprocal" of 4 5/8.

5 0

3 years ago

Read 2 more answers

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

wlad13 [49]

Answer:

$\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

$f(x)=\frac{u(x)}{v(x)}\\$ , the derivative is express as

$\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }$

from $y=lnx/x^{2}$

we assign u(x)=lnx and v(x)=x^2

and the derivatives

$\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\$ .

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e $y=lnx\\\frac{dy}{dx}=\frac{1}{x}$

If we substitute values into the quotient expression we arrive at

$\frac{dy}{dx}=\frac{(x^{2}*\frac{1}{x})-(2x*lnx)}{x^{4}}\\\frac{dy}{dx}=\frac{x-2xlnx}{x^{4}}\\\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

8 0

3 years ago