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iVinArrow [24]
3 years ago
13

Examine the diagram, where BD¯¯¯¯¯¯¯¯

Mathematics
1 answer:
Sidana [21]3 years ago
4 0

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 \times EB= DB^{2}

AB = (x-7)+4 = x -3

EB = 4

  • Substitute:

(x - 3)(4) = 8^{2} \\\\4x - 12 = 64\\\\

  • Add 12 to both sides

4x = 64 +12\\\\4x = 76

  • Divide both sides by 4

x = 19

Therefore the <u>value of x is 19.</u>

Learn more here:

brainly.com/question/9330100

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