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1 year ago

Enter the value if x+27

Mathematics

1 answer:

Sonja [21]1 year ago

7 0

Answer:

Shown Below

Step-by-step explanation:

Alright so first off we are going to use the little 67 on that corner. We know that it's a supplementary angle, and supplementary angles add up to 180.

180 - 67 = 113.

Inside angles of a triangle all add up to 180. Using that we can create the equation:

(x + 27) + x + 113 = 180

simplify.

2x + 140 = 180

subtract 140 on both sides.

2x = 40

divide both sides by 2

x = 20

substitute x into the asked equation.

(20 + 27) = 47

47 is your answer.

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Divide by 8.
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Factor out coefficient.
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Then, we are going to convert x into square form.
$y=-\frac{1}{8}\left(x^2-2x+1\right)+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Convert the whole expression into square form.
$y=-\frac{1}{8}\left(x-1\right)^2+\frac{1}{8}\cdot \:1+\frac{47}{8}$
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Subtract 6 from both sides.
$y-6=-\frac{1}{8}\left(x-1\right)^2$
Divide by coefficient.
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Rewrite in standard form.
$4\left(-2\right)\left(y-6\right)=\left(x-1\right)^2$

The radius of the circle will be -2. Also, no matter what the sign says, the radius has to always be positive.
Have a nice day! :)

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