Answer:
<u>Center = (5.2, -3.7)</u>
<u>Radius = 7</u>
Step-by-step explanation:
The equation of a circle is:
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
Where
r is the radius
(h,k) is the center
The equation given is:
![(x-5.2)^2+(y+3.7)^2=49](https://tex.z-dn.net/?f=%28x-5.2%29%5E2%2B%28y%2B3.7%29%5E2%3D49)
We can re-arrange it to look same as the general form:
![(x-5.2)^2+(y+3.7)^2=49\\(x-5.2)^2+(y-(-3.7))^2=49\\(x-(5.2))^2+(y-(-3.7))^2=7^2](https://tex.z-dn.net/?f=%28x-5.2%29%5E2%2B%28y%2B3.7%29%5E2%3D49%5C%5C%28x-5.2%29%5E2%2B%28y-%28-3.7%29%29%5E2%3D49%5C%5C%28x-%285.2%29%29%5E2%2B%28y-%28-3.7%29%29%5E2%3D7%5E2)
Matching equations, we can say:
<u>Center = (5.2, -3.7)</u>
<u>Radius = 7</u>
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the objects. The polar coordinate of the coordinate (1, -3) is (√10, 288.435).
<h3>What are coordinates?</h3>
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
The polar coordinate of the coordinate (1, -3) are,
r = √(x² + y²) = √[(1)²+(-3)²] = √10
θ = tan⁻¹(-3/1) = -71.565 = 288.435
Hence, The polar coordinate of the coordinate (1, -3) is (√10, 288.435).
Learn more about Coordinates:
brainly.com/question/23450276
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The answer is 11. First, use the fact that you have a set of parallel lines cut by a transversal. That makes the other base angle equal 33 as well cuz of alternate interiors. Then, use the fact that the sum of the angles that are remote to 5x = 5x. In other words, 33 + 2x = 5x. Solve for x = 11. That means that the other angle inside the triangle is 125, and if x = 11 then 5x = 55. The sum of all 4 of those angles should then equal 360 which they do!
M= (x+n)/p
Mp= x + n
x= n - Mp