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sesenic [268]
4 years ago
11

If the sum of the measures of interior angles of a regular convex polygon is 1620° how many sides does a polygon have find the m

easure of one interior angle and one exterior angle
Mathematics
2 answers:
Keith_Richards [23]4 years ago
7 0

Answer:

  • the polygon has 11 sides
  • one interior angle measures 147 3/11 degrees
  • one exterior angle measures 32 8/11 degrees

Step-by-step explanation:

The relation between the number of sides (n) and the total degree measure of interior angles is ...

  angle total = 180° × (n -2)

We can find n by filling in the given total and solving:

  1620 = 180(n -2)

  1620/180 = 9 = n -2

  9 + 2 = 11 = n

The number of sides is 11.

The measure of one interior angle is 1620°/11 = 147 3/11 degrees.

The measure of one exterior angle is 360°/11 = 32 8/11 degrees.

Mila [183]4 years ago
3 0

Answer:

Step-by-step explanation:

(n-2)180=1620

n-2=1620/180=9

n=9+2=11

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Drupady [299]

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3 years ago
What is the sum of 10000+101010
vredina [299]

Answer:

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Step-by-step explanation:

it is the correct answer

6 0
2 years ago
Read 2 more answers
An art classroom has 5 boxes with sharpie pens and clipboards. Each box has 4 sharpies there are 25 supplies in all how many tot
Step2247 [10]

Answer:

1 clipboard per box

Step-by-step explanation:

First, multiply 4 by 5 (because we need to see how many supplies there are already taken up)

4x5= 20

Next, subtract 25 from 20 (to see how many total clipboards there are)

25-20= 5

Since there are 5 boxes, we divide the number of clipboards(5) by the number boxes(5):

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Bam

5 0
4 years ago
PLEASE HELP!!!!!
kipiarov [429]

Answer:X + Y ≥ 4

$2.20X + $2.95Y ≤ $10.00

Strawberries cost $2.20 per pound

Raspberries cost $2.95 per pound

Jada only has $10.00 to spend

She wants to buy at least 4 pounds

Assumption: She buys X pounds of strawberries and Y pounds of raspberries.

<u />

<u>Solution:</u>

Number of pounds can't be less than 4

i.e X + Y ≥ 4

The cost of buying strawberries and raspberries has to be $10.00 or less than $10.00

i.e $2.20X + $2.95Y ≤ $10.00

So the system of equations is;

X + Y ≥ 4

$2.20X + $2.95Y ≤ $10.00

Step-by-step explanation:

Hopefully this helped, if not HMU and I will get you a better answer.

<em>-Have a great day! :)</em>

<em />

8 0
3 years ago
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Alina [70]
The answer would be B-D-F
7 0
3 years ago
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