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3 years ago

How many side does the polygon have?

Mathematics

1 answer:

Mariana [72]3 years ago

8 0

We can do it with the equation written; we'll try that next. I find it easier to remember the exterior angles, which are the supplements of the interior angles, add to 360 degrees.

The exterior angle is 180 - 144 = 36 degrees. n = 360/36 = 10

Answer: 10 sides

Let's try it your way now.

$\dfrac{180(n-2)}{n} = 144$

$180n-360 = 144 n$

$36n = 360$

$n = 10 \qquad\checkmark$

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4 years ago

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Liono4ka [1.6K]

6) slope is 1, y-intercept is 3, equation in slope-intercept form:

$y=x+3$

7) Slope of the line that goes through the points (3,9) and (-5,3) is $Slope=\frac{3}{4}$

8) Slope = m= $\frac{2}{3}$

y-intercept = b= -4

Step-by-step explanation:

6) Create table of coordinate points:

x y

-2 1

-1 2

0 3

1 4

2 5

Identify the slope:

Using formula:

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

Putting values:

$Slope=\frac{2-1}{-1-(-2)}$

$Slope=\frac{1}{-1+2}$

$Slope=\frac{1}{1}$

$Slope=1$

So, slope is 1

Identify y-intercept.

y-intercept is found when x=0, so, looking at the table when x = 0, y= 3 so, y-intercept is 3

Equation in the form: y=mx+b

here m is slope and b is y-intercept

Putting values:

$y=mx+b\\y=1x+3\\or\,\,y=x+3$

So, equation in slope-intercept form:

$y=x+3$

7) Find the slope of the line that goes through the points (3,9) and (-5,3)

Using formula:

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

Putting values:

$Slope=\frac{3-9}{-5-(3)}$

$Slope=\frac{-6}{-5-3}$

$Slope=\frac{-6}{-8}$

$Slope=\frac{3}{4}$

So, slope of the line that goes through the points (3,9) and (-5,3) is $Slope=\frac{3}{4}$

8) What is the slope and y-intercept of the following equation:

$y=\frac{2}{3}x-4$

The equation is in slope-intercept form

The general equation of slope-intercept form is:

$y=mx+b$

where m is slope and b is y-intercept

Comparing both equations we get:

Slope = m= $\frac{2}{3}$

y-intercept = b= -4

Keywords: Equation of line using Slope

Learn more about Equation of line using Slope at:

#learnwithBrainly

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4 years ago