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Ksivusya [100]
3 years ago
5

1. Find two numbers with a common factor of 3 only.

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
8 0

Answer:

All numbers can be written as a product of the prime numbers that conform them.

A) Find two numbers with a common factor of 3 only.

for example:

2*3 = 6

7*3 = 21

Both numbers have the factor 3 in them, and because the other two numbers are primes, we can be sure that the 3 is the only common factor.

B) Write a pair of numbers with a common factor of 2, 3 and  6.

Here we can write:

2*3*2 = 12

3*2*5 = 30

Those two numbers have the common factors 6, 2 and 3.

C) Write a pair of numbers with common factors of 3, 6 and  9.​

3*2*3 = 18 (has the factors 2, 3, 3*2 = 6, 3*3 = 9)

-3*2*6 = -36

Both have the common factors 3, 6 and 9 (and they share more common factors like 2, this happens because 6 = 3*2, so if 6 is a common factor, 2 also must be)

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A researcher surveys job satisfaction among laborers and​ white-collar workers.​ (Job satisfaction is rated on a scale from 1​ =
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Answer:

Option A is the answer

Step-by-step explanation:

From the question we are told that

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From this value given we can see that the white collar worker is more  dissatisfied than the laborers

 Also  the from the value of standard deviation of the laborers we see that the deviation from the mean is  1 which means that they are equally  dissatisfied

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3 0
3 years ago
This is a polygon and I need help finding the missing angle ?
allsm [11]
First, you need to know that the total (degrees) of the interior angles is 360 because this is a quadrilateral.

The unnumbered angle is 109 degrees. We know this because the angle labeled 71 degrees and the unnumbered angle are supplementary. So you subtract 180 from 71 to get 109. 
180-71=109

To solve for x, we need to realize the other numbers playing into the angles' values. To make solving this easier, I'm gonna assign letters to the angles. 

(10x+6) is angle A. 

(13x-2) is angle B. 

(8x-1) is angle C.

and 109 (the one we solved) is angle D. 

We know that the total of the interior angles is 360, so we can add the 2 from angle B and the 1 from angle C to 360. This is because these numbers are subtracted from the other values. 
360+2+1=363

Now, we have to subtract the 6 from angle A from 363, because the 6 is added to the other values. 
363-6=357

Now we have to subtract 109 from 357 because you want to get the x's by themselves. Since you're solving for x. 
357-109=248

That leaves you with 248. Now you add all the x's up to get the total number of x's. You have 10x from angle A, 13x from angle B, and 8x from angle C. 
10x+13x+8x=31x

You get 31x. To get what x is, you divide 248 by 31. 
\frac{248}{31} =8

That equals 8. So now that you know that x equals 8, if you need to find the values of the angles, you just plug in the numbers into the formulas. 

(10(8))+6= 86
(13(8))-2=102
(8(8))-1=63
109

Check your work by plugging your answers in and seeing if they add up to 360. 
86+102+63+109=360

Which they should:)

So...
angle A= 86
angle B=102
angle C=63
angle D=109

and x=8



Hope this helped!!!
4 0
3 years ago
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