Answer:
x=7
Step-by-step explanation:
−9(x + 6) + 60 = 13 − 10x
Distribute
−9x -54 + 60 = 13 − 10x
Combine like terms
-9x +6 = 13 -10x
Add 10x to each side
-9x+10x +6 = 13-10x+10x
x +6 = 13
Subtract 6 from each side
x+6-6=13-6
x = 7
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:

Learn more about circles:
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11:
1. 123°
2. 57°
3. 95
4. 85°
12.
1. 130°
2. 54°
3. 130°
4. 126°
Answer:
91 degrees
Step-by-step explanation:
they are vertical angles which means they are congruent