Given the circle with the equation (x - 3)^2 + y^2 = 49, determine the location of each point with respect to the graph of the circle. in your final answer, state whether each point is on the interior, exterior, or circumference of the circle. include your calculations as proof of each point’s location. a. (-1, 1) b. (10, 0) c. (4, -8)

A. is inside of the circle.

B. is on the circle

C. is outside of the circle.

This is because you can find the center of the circle using the base formula for a circle. (x - h)^2 + (y - k)^2 = r^2, with the center being (h, k). Using this fact, we know the center to be (3,0).

We can also use that formula to find the radius. Since the radius squared is equal to 49, we can find the radius.

r^2 - 49

r = 7

Now we can see how far each points are away from the center to see if they are less than, greater than or equal to 7. This will tell us if they are close enough.

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.

2x+60=

step-by-step explanation: