Question

What is the length of line segment PQ

Answer 1

Answer:

The length of segment PQ is $5\ units$

Step-by-step explanation:

we know that

Applying the Intersecting Tangent-Secant Theorem

$MN^{2}=PN*QN$

we have

$MN=6\ units$

$PN=(x+4)\ units$

$QN=4\ units$

substitute

$6^{2}=(x+4)*4$

$36=4x+16$

$4x=36-16$

$4x=20$

$x=5\ units$

therefore

The length of segment PQ is $5\ units$

Answer 2

Answer:

5 units

Step-by-step explanation: