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3 years ago

What is the sum of the measurements of all the angles in a polygon with k sides?

Mathematics

1 answer:

larisa [96]3 years ago

8 0

Answer:

The sum is equal to $(k-2)*180\°$ or $(k)180\°-360\°$

Step-by-step explanation:

we know that

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

$S=(n-2)*180\°$

where

S is the sum of the interior angles of a polygon

n is the number of sides

In this problem we have

$n=k\ sides$

substitute the value

$S=(k-2)*180\°$ or $S=(k)180\°-360\°$

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Find the solutions to the equation below.

taurus [48]

2x²+7x+3=0

2x²+(1+6)x+3=0

2x²+1x+6x+3=0

x(2x+1)+3(2x+1)=0

(2x+1)(x+3)=0

2x+1=0. x+3=0

2x=-1. x=-3

x=-1/2

7 0

2 years ago

Write an equation in point-slope form of the line that passes through (-4,1) and (4,3).

Step2247 [10]

Answer:

An equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

$y-1=\frac{1}{4}\left(x+4\right)$

Step-by-step explanation:

Given the points

(-4,1)

(4,3)

Finding the slope between the points (-4,1) and (4,3)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-4,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:3\right)$

$m=\frac{3-1}{4-\left(-4\right)}$

Refine

$m=\frac{1}{4}$

Point slope form:

$y-y_1=m\left(x-x_1\right)$

where

m is the slope of the line

(x₁, y₁) is the point

in our case,

m = 1/4

(x₁, y₁) = (-4,1)

substituting the values m = 1/4 and the point (-4,1) in the point slope form of line equation.

$y-y_1=m\left(x-x_1\right)$

$y-1=\frac{1}{4}\left(x-\left(-4\right)\right)$

$y-1=\frac{1}{4}\left(x+4\right)$

Thus, an equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

$y-1=\frac{1}{4}\left(x+4\right)$

5 0

2 years ago

What is the greatest common factor of 12 and 6?

Sergio [31]

The greatest common factor of 12 and 6 is 6.

5 0

1 year ago

Read 2 more answers

Pls help me with this problem

Effectus [21]

Answer:

I think it's alternate interior, cause both the angle are inside..

8 0

2 years ago

Read 2 more answers

david ran on a straight track. every time he ran 480m, he took a break. After 2 breaks, he still had to run 120 m to complete th

kipiarov [429]

Answer:

The distance of the playground is 540m

Step-by-step explanation:

Here, we are interested in calculating the length of the playground given the information in the question.

Where to attack the question from is the segment that states that he took a break after 480m and also had 2 breaks. Thus, the distance traveled would be 480 * 2 = 960 m

Now, to find the length of the track, we add the distance covered plus the distance uncovered. Mathematically that would be 960m + 120m = 1,080m

In the last part of the question, we are told that the track is twice as long as the playground. This means that the length of the playground or the distance of the playground is 1080/2 = 540 m

4 0

3 years ago