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dimaraw [331]
3 years ago
14

OMG last one please help

Mathematics
1 answer:
vichka [17]3 years ago
3 0

Answer:

m<D = 14

Step-by-step explanation:

Exterior angles thm:

83 + 6x - 4 = 21x + 4

6x + 79 = 21x + 4

6x - 21x = 4 - 79

-15x = -75

x = 5

m<D:

6x - 4

6(3) - 4

18 - 4

14

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A circle is centered at (-4, 6) and has a radius of 9. What is the equation of the circle? Question 3 options: (x+4)2+(y−6)2=18
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Answer:

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Step-by-step explanation:

<u>General equation of a circle :</u> (x-h)² + (y-k)² = r²

where (h,k) is at center and r = radius

Here we are given that the circle has a center at (-4,6) and a radius of 9

So we have (h,k) = (-4,6) so h = -4 and k = 6 and radius = 9 so r = 9

<u>Plugging in values into general equation</u>

Recall that the general equation of a circle is (x-h)² + (y-k)² = r²

we have h = -4 , k = 6 and r = 9

==> plug in values

doing so we acquire (x-(-4))² + (y-6)² = 9²

==> apply double negative sign rule

(x+4)² + (y-6)² = 9²

==> evaluate exponent

(x+4)² + (y-6)² = 81

And we are done!

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