Compare the quantity in column a with the quantity in column b. pa is tangent to the circle at a.

"The quantity in Column B is greater"

Step-by-step explanation:

To solve for AP, we can use the secant tangent theorem. It tells us that the product of secant segment with the external segment is equal to the tangent squared. From the figure we can write (Tangent is PA Secant is ZP):

13 * 4 = AP ^ 2

52 = AP^2

AP = SQRT(52)

AP = 7.21

When two chords intersect inside a circle, they create 4 segments. The chord theorem tells us that the individual chord segment products' are equal. Thus, from the diagram we can write (Chord AY and Chord ZQ):

AX * 2 = 6 * 3

AX * 2 = 18

AX = 18/2 = 9

AX = 9

Obviously, AX is greater than AP. First answer choice is correct.

43

step-by-step explanation:

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4