Equation of the circle:

Step-by-step explanation:
The equation of a circle is given by

where
are the coordinates of the center of the circle
r is the radius of the circle
For the circle in this problem, we know that:
(5,4) are the coordinates of the center
We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:

Therefore, the equation of the circle is:

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Answer:
2. Substitution property
3. Given
4. Definition of congruent angles
5. Substitution property
6. Subtraction property of equality
7. Definition of congruent angles
8. Given
9. Definition of equilateral triangle
11. SAS (10, 7, 9)
Step-by-step explanation:
Answer:
24
Step-by-step explanation: