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BabaBlast [244]
3 years ago
12

The comeplement of 99

Mathematics
1 answer:
harkovskaia [24]3 years ago
3 0
1. the complement is when two angles add up to 99 degrees and the supplement is when the two angles add up to 180 degrees.

2. Let x be the measure of the unknown angle .

3. Let 90 -x be it's complement and 180- x be the supplement of the angle .

4. Given 90-x=3x+9 the measure of the complement of an angle is 3x+9. Solve using the following steps.

99-x=3x+9
Add x-9 to both sides to isolate x-terms on right side and numbers on left
90-x+x-9=3x+9+x-9

90-x+x-9=3x+9+x-9

91=4x
divide by 4 to both sides yields
91/4=x

5. Given 3x+99=180-x. The measure of the supplement of an angle is 3x+99. So
3x+99=180-x

Add x+99 to both sides of equations to isolate x on right side and number on left
3x+99+x-99=180-x+x-99

4x=91

X=91/4

6. The angle is x=91/4
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We have the equation

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\begin{gathered} 20y=x^2-10-15+25-25 \\  \\ 20y=(x-5)^2-15-25_{} \\  \\ 20y=(x-5)^2-40 \\  \\  \end{gathered}

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Now we can continue and find the focus, the focus is

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\begin{gathered} \mleft(5,-2+5\mright) \\  \\ (5,3) \end{gathered}

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Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7

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