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olya-2409 [2.1K]
3 years ago
10

Which value of x would make TV || OS? 3 8 10 11

Mathematics
1 answer:
garik1379 [7]3 years ago
6 0

Answer:

For x = 10, the lines will be parallel

Step-by-step explanation:

<em><u>For parallel lines in a triangle, their sides must be proportional</u></em>

And,

\frac{x+4}{x-3} = \frac{x+10}{x}

<em>Cross Multiplying</em>

=> x(x+4) = (x-3)(x+10)

=> x^2+4x = x^2+7x-30

=> x^2-x^2+7x-4x = 30\\

=> 3x = 30

<em>Dividing both sides by 3</em>

=> x = 10

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A circle with area 100π has a sector with a central angle of 2/5π radians.
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Answer:

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Step-by-step explanation:

The sector area is found using the proportion ...

  sector area / circle area = sector angle / whole circle angle

Multiplying by "circle area", we get ...

  sector area = (circle area)( sector angle / whole circle angle)

  = (100π)(2/5π)/(2π)

  = (100π)(1/5)

  sector area = 20π

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3 years ago
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