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Cerrena [4.2K]
3 years ago
14

Solve for x PLEASE HELP DUE TODAY!!!

Mathematics
2 answers:
harkovskaia [24]3 years ago
7 0

Answer:

x = 4

Step-by-step explanation:

When a secant and a tangent are drawn to a circle from a point outside the circle, the lengths are related this way:

The square of the length of the tangent equals the product of the length of the secant and the length of the segment of the secant outside the circle.

(x + 2)² = x(x + 5)

x² + 4x + 4 = x² + 5x

x = 4

DiKsa [7]3 years ago
3 0

Answer:

x = 4

Step-by-step explanation:

By intersecting tangent and secant theorem:

{(x + 2)}^{2}  = x(x + 5) \\  \\  {x}^{2}  + 4x + 4 =  {x}^{2}  + 5x \\  \\ 4x + 4 = 5x \\  \\ 4 = 5x - 4x \\  \\ 4 = x \\  \\ x = 4

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