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3 years ago

What is the measure of an interior angle of a regular 360-gon

Mathematics

2 answers:

marissa [1.9K]3 years ago

6 0

Answer:

The sum of any 360-gon's interior angles is 64440 degrees.

Step-by-step explanation:

charle [14.2K]3 years ago

4 0

Answer:

64,440 is the sum of all the interior angles, 179 is the measure of one interior angle

Step-by-step explanation:

We will use the equation x = (n-2) 180 x is the sum of all the interior angles and n is the number of sides this figure has, so we solve

x = (360-2) 180

x= (358) 180

x= 64,440

So the sum of all the interior angles is 64,440

to find each interior angle we must divide the sum of all the interior angles by the number of sides the figure has, so we would divide 64,440 by 360

64,440/360 = 179

Therefore, the measure of each interior angle is 179

You might be interested in

The one-to-one functions g and h are defined as follows

Debora [2.8K]

Answer:

$g^-^1(x)=-8$

$h^-^1(x)=\frac{x-4}{3}$

$(h^-^1 \ o\ h)(-3)=-3$

Step-by-step explanation:

When given the following functions,

$g=[(-2,-7),(4,6),(6,-8),(7,4)]$

$h(x)=3x+4$

One is asked to find the following,

1. Question 1

$g^-^1(4)$

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

$g^-^1(4)$

$g(4)=6\\g(6)=-8\\g^-^1(4)=-8$

2. Question 2

$h^-^1(x)$

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

$h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)$

$h^-^1(x)=\frac{x-4}{3}$

3. Question 3

$(h^-^1 \ o\ h)(-3)$

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function ( $h^-^1$ ) and simplify. Then substitute (-3) into the result.

$h^-^1\ o\ h$

$\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x$

Now substitute (-3) in place of (x),

$=-3$

8 0

3 years ago

What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point

kiruha [24]

This is going to be an long answer, so I'm putting the answer first. y=3x-7

First, you have to find the equation of the line given. You can use point slope form for that. You can see that the slope is -1/3, and it goes through (2,2). So, the equation would be
y-2=-1/3(x-2)
Which simplifies to
y=-1/3x+8/3

Now, we can get on to finding the actual answer. The slope of a line perpendicular would be the negative reciprocal of the original slope. That just means you flip it and multiply it by -1. So, the slope of the new line is 3. Now you can use point slope form again and make an equation, which is
y+1=3(x-2)
Which simplifies to
y=3x-7

Please don't ask me why the slope is the negative reciprocal, or how they came up with the formula for the point slope form. I DON'T KNOW. If you want to know so bad you would give up chick-fil-A for the rest of your life, there's always google.

5 0

3 years ago

Read 2 more answers

In which expression should the exponents be multiplied?

marin [14]

Answer:

you should use P.E.D.A.S

Step-by-step explanation:

Parentheses,

Exponents,

Multiplication

Division (from left to right),

Addition

Subtraction (from left to right).

5 0

3 years ago

Read 2 more answers

200 ml of milk

Black_prince [1.1K]

A ratio shows us the number of times a number contains another number. The amount barely needed for 300 ml of milk is 45 grams.

<h3>What is a Ratio?</h3>

A ratio shows us the number of times a number contains another number.

The need for barley in 200 ml of milk is 30 grams, therefore, the need for barley in 1 ml of milk can be written as,

Need of barely in 1 ml of milk = 30/200

Now, the amount of barely that will be needed for 300 ml of milk will be,

The amount of barely in 300 ml of milk = (30/200)×300 = 45 grams.

Hence, the amount barely needed for 300 ml of milk is 45 grams.

Learn more about Ratios:

brainly.com/question/1504221

#SPJ1

4 0

2 years ago