Answer: r=1/2
Step-by-step explanation:
Using the given center and point at the circumference, the equation of the circles are:
- a)

- b)

- c)

<h3>
What is the equation of a circle?</h3>
- The equation of a circle of radius r and center
is given by:

Item a:
- Center C(5,2), hence
.
The point at the circumference is A(11,10), hence:



Hence:

Item b:
- Center C(-2,-5), hence
.
The point at the circumference is A(3,-17), hence:



Hence:

Item c:
- Center C(5,-1), hence
.
The point at the circumference is A(-2,-5), hence:



Hence:

You can learn more about equation of a circle at brainly.com/question/24307696
Since they are vertical angles, they equal each other. Therefor the equation would be: 30x-29 = 20x+21
10x = 50
X = 5
After, you plug whatever x is back into the other equations.
20(5)+21 = 121 and 30(5)-29 = 121
The first expression, 2(m+10p) represents how much she exercised because Ms. Ghandi runs a mile twice a day and does 10 push ups twice a day so if you take out the common multiple of 2 and multiply it by one set is shows how much she does in a day
the second equation, 2m+20p represents how much she exercises because she runs a mile twice a day and does 10 push ups twice a day
2x + y >= 4
- 2x
y >= 4 - 2x