1. Angle PAB is 90 degrees, as it is formed from the tanget to the circle at A, and the radius drawn to A.
2. AB=BC, because tangents drawn to a circle from the same point are equal.
3. PB is Common, so by the side-side-side congruence postulate, triangles ABP and CBP are congruent.
4. So measure of m(BPA)=x/2 and m(ABP)=73/2.
5.



, x= 107 degrees.
Since x and y are directly related, the equation for their comparison will look like
kx = y
where k is your constant. They give you an instance in the problem where x = 27 and y = 81. Plug this into the above equation and solve for k.
kx = y
k (27) = 81
k = 3
Thus, the constant of variation is 3.
Answer:
400 ft³
Step-by-step explanation:
Dimensional analysis can help you figure this out.
(1000 BTU)/(2.5 BTU/ft³) = (1000/2.5) ft³ = 400 ft³
1000 BTU can cool up to 400 cubic feet of space.
Answer:
The whole number 2 is the number of whole apples each person gets. The numerator 1 is the number of pieces of the remaining apple each person gets; the denominator 3 is the number of pieces the remaining apple is cut into.