In this circle we have major arc RQ which is the really big one measuring 40x, and we have minor arc RQ, which is what we are looking for. Minor arc RQ is double the measure of the angle that intercepts it. That means that minor arc RQ is 2(12x-12), which is 24x - 24. The measure of the outside of any circle will always and forever be 360 degrees; therefore, 40x + 24x - 24 = 360. Combining like terms gives us 64x = 384 and x = 6. Now sub in that 6 for the x in the angle 12x - 12 to get that that angle measures 12(6)-12 = 60. Again, the angle is half the measure of the arc it intercepts, so minor arc RQ is 120 degrees, third choice down.
<span>P(1 claim) = p/4
P(2 claims) = (p/4)/4 = p/16
You should see that the distribution follows a geometric series with common ratio 1/4.
Sum geometric = (first term) / (1 - common ratio) = p/(1 - 1/4) = 4p/3
But the sum of all the probabilites must equal 1 ----> 4p/3 = 1 ----> p = 3/4
P(2 or more claims) = 1 - P(0 claims) - P(1 claim) = 1 - 3/4 - 3/16 = 1/16</span>
Answer: 
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Reason:
Plot the points (0,0) and (r,s). You can place (r,s) anywhere you want.
Connect the two points mentioned and form a right triangle such that the segment from (0,0) to (r,s) is the hypotenuse of said right triangle.
The horizontal leg has a length of r-0 = r units, while the vertical leg will be 's' units.
Check out the diagram below.
We then apply the pythagorean theorem to say 
where h is the hypotenuse. Solving for h gets us 
. We only focus on the positive square root since a negative hypotenuse makes no sense.
Since we made the hypotenuse the segment with endpoints (r,s) and (0,0), this means the hypotenuse length and the distance are the same thing.
Therefore, the distance from (r,s) to (0,0) is 
As an alternative, you can use the distance formula to get the same answer. The distance formula is effectively the pythagorean theorem phrased a different way.
You just need to divide the yearly salary by the number of weeks per year to get
48000/52 weeks=923 is the amount that she should spend no more than one week's pay which is the maximum amount per month that she can spend on rent.
It is called Ecological Succesion hope that helped:)
