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Arada [10]
3 years ago
6

Which lines can you conclude are parallel given that ? Justify your conclusion with a theorem.

Mathematics
1 answer:
Nutka1998 [239]3 years ago
6 0
Is there meant to be a picture attached with this?
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The sum of three integers is 92. The second number is three times the first number. The third number is ten less than twice the
SVEN [57.7K]
Given,
The sum of three integers is 92

So,
Let,
The first integer be "x"
The second integer be "y"
The third integer be "z"

Now,
According to the question,
y = 3x          ..............equation (1)
z = 2x - 10    .............. equation (2)
x + y + z = 92 ..............equation (3)

Now,
Substituting the value of "y" and "z" from equation (1) and (2), we get,

x + (3x) + (2x - 10) = 92
    x + 3x + 2x - 10 = 92
                  6x - 10 = 92
                         6x = 92 + 10
                           x = 102 / 6
                           x = 17

Now,
substituting the value of "x" in equation (1)
 y = 3 (17)
y = 51

Now,
Substituting the value of "x" in equation (2),

z = 2 (17 ) - 10
z = 34 - 10
z = 24


So, the numbers are 17, 51 and 24


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3 0
3 years ago
Name the binomial you can multiply by (x + 9) to get the product x2 + 5x - 36.
Mrac [35]
The answer is:  [C]:  " (x - 4) " .
____________________________________________________
       " (x+9)(x-4) = x² - 4x + 9x - 36 = x² + 5x - 36 " .
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8 0
3 years ago
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zimovet [89]

Answer:

x = 8.0 m

Step-by-step explanation:

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FromTheMoon [43]
The tangent line is perpendicular to the radius from the center of the circle to the point of tangency. 
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