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3 years ago

The measure of each interior angle of a regular polygon is 120°. Find the number of sides.

Mathematics

1 answer:

Archy [21]3 years ago

6 0

Answer:

Step-by-step explanation:

You can memorize these for the smaller shapes

for equilateral polygons:

triangle: 60

square: 90

pentagon: 108

hexagon: 120

Otherwise, I believe the formula is the total degrees in a polygon (s-2)*180 where s is the number of sides.

So the measure of each angle on average would be (s-2)*180/s.

There (s-2)*180/s = 120

180(s-2) = 120s

180s-360 = 120s

60s = 360

s = 6

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Using the equation y=x , what would be the value of y if the value of x is 2

FrozenT [24]

Answer:

y = 2

Step-by-step explanation:

y = x

x = 2

Plug in the given value.

y = (2)

This is already simplified.

Therefore, when x = 2, y = 2.

Hope this helps!

4 0

3 years ago

Given the points (-1,3) and (2,-3), what's the slope of the line? A) m = -6 B) m= -2 C) m = 1/4 O D) m = 5 D= 5

Anna007 [38]

Answer:-2

Step-by-step explanation:

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2 years ago

Find the 19th term of the arithmetic sequence d=5 a1=2

blagie [28]

Answer:

Step-by-step explanation:

nth term = a₁ + (n - 1)d

19th term = 2 + (19 - 1) * 5

= 2 + 18*5

= 2 + 90

= 92

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3 years ago

Three lorries each making five trips per day transport 2500 crates from a factory to a distributor in two days .how many lorries

elixir [45]

Step-by-step explanation:

3×5×2 = 30 lorry trips to deliver 2,500 crates.

3 lorries, 5 trips per day, 2 days

that means that one lorry trip transports

2,500 / 30 = 250/3 = 83.33333... crates = 83 1/3 crates.

now we need x lorries each making 6 trips per day in 1 day (so, 6 trips, period) to transport 10,000 crates.

that looks like

x × 6 × 83.33333... = 10,000

x × 6 × 83 1/3 = 10,000

x × (6×83 + 6 × 1/3) = 10,000

x × (498 + 2) = 10,000

500x = 10,000

x = 20

so, we need 20 lorries each doing 6 trips in one day to transport 10,000 crates in one day.

these are altogether 20×6 = 120 lorry trips.

that is 4 times the number of the original scenario (30 trips).

and logically, when doing 4 times the work, we achieve 4 times the result (10,000 crates instead of 2,500).

6 0

2 years ago

A rectangular prism has a length of 12 feet, a width of 6 feet, and a height of 2 feet.

aliina [53]

The volume of the prism is 144 ft^3. If we use the letter V to represent volume, the formula for the volume of a rectangular prism is V=length*width*height. When you plug in the numbers, the equation is V=12*6*2. When you multiply these three numbers together, you get 144. Because you are finding the volume, your units are cubed, so your answer is 144 ft^3. I have attached an image of this problem written out (I’m sorry if the image is bad, I drew it on my phone). If you need any more help or any clarification, please let me know and I will be happy to help!

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3 years ago