All categories

2 years ago

If an interior angle of a regular polygon measures 144° how many sides does the polygon have

Mathematics

1 answer:

Vikki [24]2 years ago

6 0

Answer:

Step-by-step explanation:

The interior angle of a polygon is given by

(n-2)×180

or for regular polygon n × each interior angle.

Therefore since it is a regular polygon

Given than interior angle is 144

Then,

(n-2)×180=n× interior angle

180n-360=144n

180n-144n=360

36n=360

Then, n=360/36

n=10

Then the polygon has 10_sides which is a decagon.

You might be interested in

A large company is expanding its workforce and needs to hire some new administrative assistants. They found the relationship bet

Inessa [10]

The graph on #6 describes a scatterplot. Because years of experience is the input, this makes the starting salary our output. Finding the best fitting line in a scatterplot requires the line to follow a trajectory similar to that of the points. As a result, there will be outliers. Since I don't know what "the calculator" is meant by this problem, I have used a different program. I hope it works for you. Good luck.

4 0

2 years ago

If f(x) =4x^2 and g(x) =x+1, find (f*g) (x)

kozerog [31]

(f * g)(x) = 4x^2(x + 1)
4x^3 + 4x^2

5 0

2 years ago

Read 2 more answers

Which number lines have points that represent additive inverses? Check all that apply.

jeka94

<h3>2 Answers: B and D</h3>

===================================================

Explanation:

Choice B is one answer because -2 and 2 are additive inverses that add to -2+2 = 0

Choice D is a similar story. We have -5+5 = 0

In general, if x is some number then -x is its additive inverse. So we can say x+(-x) = 0 or -x+x = 0. In short, additive inverses add to 0.

8 0

2 years ago

Read 2 more answers

Marcos purchased a sail boat for $56,900. He anticipates each year the boat will decrease in value by 8.1% from the previous yea

Varvara68 [4.7K]

Answer: $56,900\left( 0.919\right)^x$

Step-by-step explanation:

Given

Marcos purchased a sailboat for $\$56,900$

Each year the boat will decrease in value by $8.1\%$

After 1 year it is

$\Rightarrow 56,900-56,900\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\\$

after another year it becomes

$\Rightarrow 56,900\left( 1-0.081\right)-56,900\left( 1-0.081\right)\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\cdot \left( 1-0.081\right)\\\Rightarrow 56,900\left( 1-0.081\right)^2$

After $x$ years it is

$\Rightarrow 56,900\left( 1-0.081\right)^x$

$\Rightarrow 56,900\left( 0.919\right)^x$

5 0

2 years ago

Cameron has 2 video game holder stands each can hold 2 rows of 20 games write and evaluate a numerical expression to find the to

Aleksandr [31]

Answer:

so this would be the equation

2(2*10)=v

So the number on the outside is the number of stands, the second 2 is for the two rows, and the 10 is the games. I did this because its two rows and combined they make 20 games. It took me a little to figure that out.

This shows the number of games total in both holders.

5 0

2 years ago