Answer:
length of line segment PQ is 5 units
Explanation:
Tangent secant theorem
MN² = QN x PN
6² = 4(x+4)
36 = 4x + 16 Plug in values into exponents
20 = 4x Subtract 16 from both sides
x = 5 Divide by 4 to isolate the variable
5 units
The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.
4 * (4+x) = 6^2
Distribute
16 +4x = 36
Subtract 16 from each side
16-16+4x = 36-16
4x= 20
Divide each side by 4
4x/4 = 20/4
x=5
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