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gayaneshka [121]
4 years ago
6

Use less than, equal to, or greater than to complete this statement: the measure of each exterior angle of a regular 10-gon is b

lank the measure of each exterior angle of a regular 6-gon
Mathematics
1 answer:
vredina [299]4 years ago
4 0

Answer:

less than

Step-by-step explanation:

Okay we have two polygon types here and we want to make comparison of angles.

Now for a 10-sided polygon, how do we calculate the value of each of the exterior angles?

Mathematically for any polygon , the total sum of the exterior angle is 360. Thus each in a ten sided polygon would be 360/n = 360/10 = 36

For a six sided polygon, we use the same 360/n = 360/6 = 60

So the correct answer to fill in the blank is less than

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Solve.<br> 3<br> b=-a<br> a + b = 21
Eva8 [605]

Answer:b=-10.5, a=31.5

Step-by-step explanation: 3b=-a , -3b=a

a+b =21

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4 0
3 years ago
Ramiro earns $20 per hour during the week and $30 per hour for overtime on the weekends. One week Ramiro earned a total of $650.
nika2105 [10]

Answer:

Week=25 Hours

Weekend= 5 Hours

Step-by-step explanation:

So we need to use the info they gave us and create two equations. Firstly we know how much he gets paid per hour during the week (x) and how much he gets paid on the weekend (y).

$20x+$30y=$650

We get this because we know the combined rates he is paid times the hours should add up to the amount he earned.

The next equation will be made off of the information that he worked 5 times as many hours during the week as on the weekend. This tells us that we will take the weekend hours (y) and multiply them by 5 in order to get the week hours (x).

x=5y      Now, since we have one variable by itself, we can plug it in for x in the first equation.

20(5y)+30y=650    Our first step here is to distribute the 20 to the 5y in order to eliminate the parenthesis.

100y+30y=650    Next add the like terms together (100y+30y).

Now all we have to do to find y is divide by 130 on both sides to get y alone.

130y=650  

________

130     130

y=5             Now to solve for x we just plug our y value into one of the equations above. I'm going to use the second equation.

x=5(5)

x=25      

3 0
3 years ago
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 429.0429.0 gram setting
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Answer:

A 4040 bag sample 25.0425.0 grams. A level of significance of 0.020.02

the decision rule. Assume the standard deviation is known to be 11.011.0.

Step-by-step explanation:

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3 years ago
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