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3 years ago

A regular polygon has a exterior of 18 degrees. How many sides does it have?

2 answers:

7 0

The angles of a regular polygon add up to 360 degrees so if it is a REGULAR polygon then all of the angles must be equal/the same. So you do 360 divided by 18 to see how many sides there are so that would give a simple answer of 20. I was able to work this out in my head by doing 36 divided 18 (I took the 0 off the 360 to make the sum easier) which = 2 and then added the 0 back on from the 360 which gave me 20. So the regular polygon has 20 sides

blondinia [14]3 years ago

4 0

The formula of the measurement of an exterior angle of a regular polygon is
β = 360°/n
where β = exterior angle and n = number of sides

Therefore,
n = 360°/β = 360°/18° = 20 sides

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3 years ago

Tell whether the lines through the given points are parallel, perpendicular, or neither.

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Answer: Line 1: (2, 3) , (4, 12)

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2 years ago

An office and apartment building is made up of modules. Each module is a rectangular prism. The building has 150 modules, and is

Elis [28]

Answer:

Part 1) 10 modules per floor

Part 2) Two different rectangular prism

Step-by-step explanation:

Part 1)

Let

x ----> the number of modules

y ---> the number of stories

we have

$x=150\ modules\\y=15\ stories$

Divide the number of modules by the number of stories

$\frac{x}{y}=\frac{150}{15}=10\ \frac{modules}{floor}$

Part 2) How many different rectangular prisms could be made from that number?

The number is 10

Look at the factors of 10

They are 1,2 ,4,5 and 10

Pick any two of these factors and determine if there is a third value from this list so that the product of the three factors is 10

There are 2 combinations that will work :

1 0×1×1

2 ×5×1

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3 years ago