Three angles are described as follows: ∠ is half the size of ∠. The measure of ∠ is equal to one less than two times the measure of ∠. The sum of ∠ and ∠ is 114°. Can the three angles form a triangle? Why or why not?

Hello!

A circle centered at the point (h,k) with a radius (r) has the following formula:

(x – h)² + (y – k)² = r²

Substitute any known values into the equation above:

(x – 4)² + (y – (-1))² = 3²

Simplify both sides:

(x – 4)² + (y + 1)² = 9

This is the equation of the given circle. The answer is B.

I hope this helps!