Respuesta :

Answer:

•SEE BELOW•

Let the diameter be represented as x.

Let the diameter be represented as x.Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:

segments would be:(14 + x)(14) = 25^2

segments would be:(14 + x)(14) = 25^2196 + 14x = 625

segments would be:(14 + x)(14) = 25^2196 + 14x = 625Subtract 196 from each side

14x = 625 - 196

14x = 625 - 19614x = 429

Divide both sides by 14

Divide both sides by 14x = 429/14

Divide both sides by 14x = 429/14x = 30.6

Divide both sides by 14x = 429/14x = 30.6Diameter = 30.6

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