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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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(20 points) A 2-liter bottle of soda (67.6 ounces) costs $1.89. A case of twelve 12 ounce
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Answer:

  • Unit price of a 2-liter bottle of soda: \$0.028\ per\ ounce
  • Unit price of a case of twelve 12 ounce  cans: \$0.021\ per\ ounce
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Step-by-step explanation:

Let be "x" the unit price (price/ounce) of the soda in the 2-liter bottle and "y"  the unit price (price/ounce) of the soda in the case  of twelve 12 ounces cans.

According to the data provided in the exercise, you know that:

1. The 2-liter bottle of soda  is equal to 67.6 ounces.

2. That bottle costs  $1.89

Then, the unit price is:

x=\frac{1.89}{67.6}\\\\x\approx0.028

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12\ oz*12=144\ oz

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y

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