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Nata [24]
3 years ago
7

Two angles form a linear pair if and only if they are _______and their non-common sides are________.

Mathematics
1 answer:
EastWind [94]3 years ago
8 0

Answer:

adjacent and opposite rays.

Step-by-step explanation:

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What is the general form of the equation for the given circle?
ludmilkaskok [199]
Coordinates of the center:  ( 4, 4 )
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x² - 8 x + 16 + y² - 8 y + 16 = 9
x² + y² - 8 x - 8 y + 32 - 9 = 0
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A ) x² + y² - 8 x - 8 y + 23 = 0
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4 years ago
The sum of the digits of a two-digit number is 12. The number with the digits reversed is 15 times the original tens' digit. Fin
nika2105 [10]

a-digit\ of\ tens\\b-digit\ of\ ones\\10a+b-the\ number\\10b+a-the\ number\ with\ reversed\ digits\\\\\left\{\begin{array}{ccc}a+b=12&\to b=12-a\\10b+a=15(10a+b)\end{array}\right\\\\\text{Substitute}\\\\10(12-a)+a=15(10a+12-a)\\10(12-a)+a=15(9a+12)\qquad\text{use distributive property}\\(10)(12)+(10)(-a)+a=(15)(9a)+(15)(12)\\120-10a+a=135a+180\\120-9a=135a+180\qquad\text{subtract 120 from both sides}\\-9a=135a+60\qquad\text{subtract 135a from both sides}\\-144a=60\qquad\text{divide both sides by (-144)}\\\\a=-\dfrac{60}{144}

a is negative and it's not a digit.

<h3>Conclusion: Such a number does not exist.</h3>
8 0
3 years ago
The table below shows some values that satisfy a linear function.
Makovka662 [10]

Answer:

1.5

Step-by-step explanation:

Given the pair of points on the table.

Now the formula for slope, m=\dfrac{y_2-y_1}{x_2-x_1}

To calculate the slope we only require two pair of points.

Let us take: (x_1, y_1)=(-5,0)$ and (x_2, y_2)=(-3,3)

m=\dfrac{3-0}{-3-(-5)}\\=\dfrac{3}{-3+5}\\=\dfrac{3}{2}\\m=1.5

The slope of the linear function represented by the values in the table is 1.5.

Note: You can use any two set of values. The result will be the same.

3 0
4 years ago
Find the angel of FPV
GaryK [48]

Answer:

I can not give an exact answer seeing that I do not have access to that assignment but here is what I have. :)

Step-by-step explanation:

Seeing that the angle between "V" and "R" is a 90 degree angle, I can use that to determine the answer for the angle of F,P,V. It is too high for a 45 degree angle and too short for an 80. I then noticed that R,P,Q is about a 40 degree and since there is a 90 degree angle at V,P,R, I can use that and say F,P,V is about a 60-75 degree angle. Hope this helped!  :D

7 0
3 years ago
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