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1. cd and cb are tangent to circle a. if cd = 5x - 13 and cb = 12, find…

Question

  1. cd and cb are tangent to circle a. if cd = 5x - 13 and cb = 12, find x.

Explanation:

Step1: Set tangents equal

Tangents from C to circle A are equal, so $CD = CB$.

Step2: Substitute values

$5x - 13 = 12$

Step3: Solve for x

Add 13 to both sides: $5x = 25$, then divide by 5: $x = 5$.

Answer:

5