Answer: 11
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Explanation:
Point C is the circumcenter of triangle PQR. This means that we can draw a circle centered at C that goes through points P, Q and R at the same time. This circle has a special name: circumcircle.
The segments PC, RC and QC are all radii, so they are the same length. Pick two of the given expressions and set them equal to one another. Then solve for x
I'm going to pick the expressions for PC and RC
PC = RC
3x+7 = 5x-15
5x-3x = 7+15
2x = 22
x = 22/2
x = 11
Hello,
The formula for finding the circumference of a circle is

where r is the radius. SO we can plug 4 in for r in this formula because 4 is the radius:

. We are told to use 3.14 for

so we get

. Therefore, the circumference is 25.12 meters.
Answer: C. 

Step-by-step explanation:
If 't' represents the number of hours Joanne tutors and 'r' represents the number of hours she works as a receptionist.
Then the total hours she can work=t+r
Since she can work up to 25 hours.
Thus 
If she earns $25 per hour by tuition and $ 12 per hour by working as a receptionist .
Then her total earning =$
Since she must earn $200.
Then
.
Therefore, the required system of inequality will be


Answer:
Here's how to reduce a fraction: Break down both the numerator (top number) and denominator (bottom number) into their prime factors. Cross out any common factors. Multiply the remaining numbers to get the reduced numerator and denominator.
The two end points of our line are (0,2.5) and (5,5.5). to find our slope we need to find our n difference (higher value - lower value) and our C difference (same as n) which would be 5 and 3. now we put our cost difference over our miles difference and get our slope (5/3). this means we still need out starting point. which is a cost of 2.5. the equation is C = (slope)5/3n + (starting value)2.5