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The value of x based on the tangent-secant theorem is: <u> 19.</u>
<em><u>Recall</u></em>:
- The secant-tangent theorem states that when a tangent and a secant meet outside a circle, the product of the secant length and it's segment outside the circle is equal to the square of the tangent segment length.
- Applying the tangent-secant theorem or rule, we will have this equation:
AB =
EB = 4
- Substitute:
- Add 12 to both sides
- Divide both sides by 4
x = 19
Therefore the <u>value of x is 19.</u>
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