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.
The point where the line crosses the x-axis is called the [x-intercept]. The [y-intercept] is the point where the line crosses the y-axis.
Answer: Marvin jumped 156 to getting closer to 543.
Explanation:
It is given that Marvin jumped 100 to get to 487. It means the Marvin starting point was,

The Marvin jump shown on the above of the number line and how far he jumped is shown in below the number line.
The initial point is 387. Then he jump 100 to reach 487. Next Marvin jumped 3 to reach 490. Next Marvin jumped 53 to reach 543.
The total distance covered by him is,

It the sum of his jumps,

Therefore, the Marvin jumped 156 to getting closer to 543.
It is written in expanded form. In standard form, it could have been written as;
7.0×
Answer:
<em>The average rate of change is $25.5 per hour, option B.</em>
Step-by-step explanation:
<u>Average Rate of Change
</u>
When we are explicitly given some function C(x), we sometimes need to know the rate of change of C when x goes from
to
. It can be computed as the slope of a line
.

The provided function is

We are required to compute the average rate of change between the points

Let's compute




The average rate of change is $25.5 per hour, option B.