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Sergio [31]
3 years ago
6

How many sides does this polygon have ?

Mathematics
2 answers:
maks197457 [2]3 years ago
8 0

Answer:

45

Step-by-step explanation:

To get the measure of the interior angle of a polygon we use the formula (n-2)×180÷n where n is the number of sides of the polygon

We can use this formula in this question by sitting an equation and solving for n

(n-2)×180÷n = 172

Multiply both sides by n

(n-2)×180 = 172n

Distributing the 180

180n - 360 = 172n

Adding 360 and subtracting 172n from both sides

8n = 360

Dividing both sides by 8

N = 45

Zielflug [23.3K]3 years ago
4 0
A polygon has 3 sides
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Write a compound inequality that represents the following scenario:
Inessa05 [86]

The compound inequality that represents the two following scenarios are:

  1. 65 < f ≤ 4
  2. 8 ≤ f ≤ 12

A compound inequality usually puts together two or more simple inequalities statements together.

Following the assumption from the given information that;

  • a free single scoop cone = f

<h3>1.</h3>

The age group of individuals designated to receive the free single scoop cones is:

  • people who are older than 65 i.e. > 65
  • children that are 4 or under 4 i.e. ≤ 4

Thus, the compound inequality that is appropriate to express both conditions is:

  • 65 < f ≤ 4

<h3>2.</h3>
  • On Tuesdays, the least amount of flavors = 8
  • The addition amount of extra flavors they can add = 4

Now, we can infer that the total amount of flavors = 8 + 4 = 12

Thus,  the compound inequality that is appropriate to express both conditions is:

  • Least amount of flavors ≤ f ≤ total amount of flavors  
  • 8 ≤ f ≤ 12

Therefore, we can conclude that the compound inequality that represents the two following scenarios are:

  1. 65 < f ≤ 4
  2. 8 ≤ f ≤ 12

Learn more about compound inequality here:

brainly.com/question/24540195?referrer=searchResults

6 0
2 years ago
How many 7-digit numbers are there where all the digits are different and in increasing order? for example, the numbers 1345689
frutty [35]
For this problem,we use the Fundamental Counting Principle. You know that there are 7 digits in a number. In this principle, you have to multiply the possible numbers for every digit. If the first number cannot be zero, then there are 9 possible numbers. So, the value for the first digit is 9. The second digit could be any number but less of 1 because it was used in the 1st digit. So, that would be 10 - 1 = 9. The third digit must be the value in the second digit less than 1. That would be 9 - 1 = 8. And so on and so forth. The solution would be:

9×9×8×7×6×5×4 = 544,320 7-digit numbers
4 0
3 years ago
Given that S is the centroid of triangle MNO, find SQ.
DochEvi [55]

Answer:

First, we need to calculate for x. Since,

MP = PN

Thus,


3x-4 = x+4

2x = 8

x = 4


Next, we calculate for MS 

MS = 2x + 2 = 10


Since, MS = 2SQ

10 = 2SQ

Then,

SQ = 5 units


Therefore, the correct answer is B.





8 0
2 years ago
Please i need help solve for x
malfutka [58]

Answer:

x <= -5

Step-by-step explanation:

4x + 12 <= -8

4x <= -20

x <= -5

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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