Complete the equation of this circle: А (x - [ ? ])2+(y - [ ])2= [ ]

Mathematics

1 answer:

Bingel [31]3 years ago

7 0

equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2,

so in first box - h

in second box - k

after equal to box = r²

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lions [1.4K]

Step-by-step explanation:

$\angle AOB$ and $\angle BOC$ are linear pair angles.

$\therefore m\angle AOB + m\angle BOC = 180° \\ \therefore \: 3x + 124 \degree + 6x + 29 \degree = 180° \\ \therefore \: 9x + 153 \degree = 180° \\ \therefore \: 9x = 180° - 153 \degree \\ \therefore \: 9x = 27 \degree \\ \therefore \:x = \frac{27 \degree }{9} \\ \huge \pink{ \boxed{\therefore \:x =3 \degree }} \\ \\ \because \: m\angle BOC =6x + 29 \degree \\ \therefore \: m\angle BOC =6 \times3 \degree + 29 \degree \\ \therefore \: m\angle BOC = 18\degree + 29 \degree \\ \\ \huge \red{ \boxed{\therefore \: m\angle BOC = 47 \degree }}$

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3 years ago

Directions:

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7 an obtuse angle and a acute angle are shown, 54° (for number 1) and 126° (for number 2) are missing.
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