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.
Answer:
Each car weighs 2,265 pounds
Step-by-step explanation:
Given that the car carrier weighs 35,000 pounds when empty, that is, without cars, and that loading 7 cars its weight is 50,855 pounds, the difference between both values implies the weight of the 7 cars together, which is determined through the following calculation:
50,855 - 35,000 = X
15.855 = X
Thus, the weight of the 7 cars together is 15,855 pounds. In turn, the weight of each particular car is determined from the following division:
15.855 / 7 = X
2,265 = X
Therefore, each car weighs about 2,265 pounds.
Answer:
2pi/3 has the same Sin, Cos, & Tan as pi/3 in QI except for the SIGNS.
2pi/3 is in QII so Cos is negative and Tangent is negative, Sine is still positive.
Sin 2pi/3 = √(3) / 2
Cos 2pi/3 = -1/2
Tan 2pi/3 = -√3
Step-by-step explanation:
Answer:
(-3/2)x + 9
Step-by-step explanation:
The inverse function of h(x) = (-2/3)x + 6 is h-1(x) = (-3/2)x + 9