Answer:
20 units
Step-by-step explanation:
The complete question is attached in the image.
QP is tangent and MP is a secant.
The secant-tangent theorem tells us that the external part of secant multiplied by whole secant would be equal to the tangent squared.
Thus, we can say:
MP * NP = QP^2
So, we can write from the image and figure out QP:
[tex]MP * NP = QP^2\\(24+11.5)(11.5)=QP^2\\(35.5)(11.5)=QP^2\\408.25=QP^2\\QP=20.2[/tex]
Out of the answer choices, rounded, it will be
QP = 20 units
