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Assume lines that appear tangent are tangent. Find x. Hint – use theorem 9.15 case 3

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Set up the equation and solve for x using correct case. (1 point)
Solve for x. Include all math steps! (2 points)
Answer (1 point)
Explain in words how you got your answer. (1pt)

Assume lines that appear tangent are tangent Find x Hint use theorem 915 case 3 Submit work in buzz For full credit include Set up the equation and solve for x class=


Answer :

semsee45

Answer:

x = 8

Step-by-step explanation:

To solve for x, we can use the Intersecting Secant-Tangent Theorem.

According to the Intersecting Secant-Tangent Theorem, if a tangent segment and a secant segment are drawn to a circle from an exterior point, the square of the length of the tangent segment is equal to the product of the length of the secant segment and the length of the external secant segment.

In this case:

  • Tangent segment = x
  • Secant segment = 12 + 4 = 16
  • External secant segment = 4

Therefore:

[tex]x^2=16 \cdot 4\\\\x^2=64\\\\x=\sqrt{64}\\\\x=8[/tex]

So, the value of x is x = 64.

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