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3 years ago

Find the number of sides of a regular polygon if one interior angle is 120 degrees.

1 answer:

8 0

There are six sides
Because
First, the number of sides and the number of interior angles, both are the same
To find the sum of all internal angles, you use the formula:
(n-2)180=z
where n is the number of sides or internal angles, and z is the angle sum. the letters can be anything
so now, if one interior angle is 120 degrees, then you get the total angle sum by multiplying 120 by n
so just write the equation, and replace z (angle sum) with 120n
(n-2)180=120n
Solve it in any way you like
180n-120n=360
60n=360
n=6
there are six sides and internal angles! This is a hexagon.
FYI, a hexagon's internal angles add up to 120*6=720 degrees

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The ratio of the side lengths of a quadrilateral is 3:3:5:8, and the perimeter is 380cm. What is the measure of the longest side

castortr0y [4]

Answer:

160

Step-by-step explanation:

Add the ratios together to get the sum of them is 19. Since the perimeter is 380, divide 380 by 19 to get 20.

The shortest side is 3(20) = 60,

the next side is 5(20) = 100, and

the longest side is 8(20) = 160

3 0

3 years ago

Bobby and his family went to the playground. The slide is 13

Nonamiya [84]

Answer:

it would be close to 12 ft im not 100% sure though the measurements are a little off

Step-by-step explanation:

hypotenuse is 13

then you have the adjacent = 7

13^2 = 169

7^2= 49

169-49=120

the square root of 121 is 11 wich is fairly close to 120(doesnt have one because its not exact)

there is two extra feet so 11 +2 is 13 but there was a little less then 11 so i had sid roughly around 12

brainliest, please???

4 0

3 years ago

When Emily arrived home from school she spent eight minutes eating a snack then she spent 15 minutes playing with her dog and 32

laiz [17]

Answer:

1 hour and 40 minutes

Step-by-step explanation:

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7 0

3 years ago

Please please help. Marking Brilliant for the correct answer

NISA [10]

Answer:

x = 19

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x-7+4) * 4 = 8^2

(x-3)*4 = 64

Divide each side by 4

x-3 =16

Add 3 to each side

x-3+3 = 16+3

x = 19

5 0

3 years ago

Part I: Marco rented a small moving van. The moving company charges $40 a day for up to 5 days. The input is the time, in days,

Snezhnost [94]

Given mapping is a function.

Domain: $\{1,2,3,4,5\}$

Range: $\{40,80,120,160,200\}$

Step-by-step explanation:

By observing Marco's mapping diagram we can see that every value in time is mapped to only one value in the cost. This means that there will be no repetition or same output to two different outputs so given mapping is a function.

<u>Domain:</u>

Domain is the set of all inputs of a function. Here time is input so domain of function is:

$\{1,2,3,4,5\}$

<u>Range:</u>

Range is the set of all outputs of the function on domain so the range of the given function is:

$\{40,80,120,160,200\}$

Hence,

Given mapping is a function.

Domain: $\{1,2,3,4,5\}$

Range: $\{40,80,120,160,200\}$

Keywords: Domain, range, function

Learn more about function at:

#LearnwithBrainly

7 0

3 years ago