3 years ago

Determine which of the lines, if any, are parallel. Explain.

Mathematics

1 answer:

maxonik [38]3 years ago

4 0

Isolate the variable y

Line a: 3y = x+6

y = 1/3x + 2

Line b: 3y = x+18

y = 1/3 x + 6

Line c: 3y = 2x+9

y = 2/3x +3

Explanation:

Lines a and b are parallel because they have the same slope of 1/3.

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Step-by-step explanation:

Please find the attachment.

We have been given that area of triangle ABC is 3√2 square inches.

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We know that area of triangle an be found using trigonometry as:

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$3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)$

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Now, we will use inverse sine to find the value of angle A as:

$A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})$

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