Line segment QP is tangent to the circle. What is the length of line segment QP? Round to the nearest unit. 13 units 17 units 18 units 20 units

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:

Out of the answer choices, rounded, it will be

QP = 20 units

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐