3 years ago

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Mathematics

2 answers:

galben [10]3 years ago

5 0

Answer:

length of line segment PQ is 5 units

Step-by-step 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

MrRa [10]3 years ago

4 0

Answer:

5 units

Step-by-step explanation:

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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