What is the sum of the

Mathematics

1 answer:

Dahasolnce [82]3 years ago

3 0

Answer:

360 degree

Step-by-step explanation:

The sum of all the exterior angles is 360 for any polygon.

This can be proved for polygon with 20 sides also.

We know that sum of all the angles of polygon is given by formula = (2*n -4) *90

where n is the no. of sides of polygon

for 20 sides polygon sum of sum of all the angles = (2*20 -4) * 90

= (40-4)*90 = 36*90 = 3240 degree

measure of each angle of polygon = sum of total angles of polygon/ no of sides of polygon = 3240/20 = 162

We also know that sum of interior and exterior angle of triangle is 180 degree, as interior and exterior angle lies on straight line and they are supplementary

162 + value of exterior angle = 180

=> value of exterior angle = 180 - 162 = 18

Value of one exterior angle is 18 degree

in 20 sided polygon there are 20 exterior angle

therefore, value of 20 exterior angle is 18*20 degree which is 360 degree.

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As a general point one can memorize than sum of all the exterior angle for a polygon with any number of side is 360.

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Find the area of the rectangle

castortr0y [4]

Step-by-step explanation:

Length (L) = 2 cm

Breadth (b) = 2 / 3 cm

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= L * b

= 2 * 2/3

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3 years ago

How does the graph of g(x) = (x − 1)3 + 5 compare to the parent function f(x) = x3?

ser-zykov [4K]

Answer:

The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.

Step-by-step explanation:

Recall the four very important rules regarding translations (shifts) of the graph of functions:

1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.

2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.

3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.

4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.

We notice that in our case, The original function $f(x)=x^3$ has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).