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hodyreva [135]
3 years ago
6

What is x? I tried it but I don’t think I did it right.

Mathematics
1 answer:
sattari [20]3 years ago
8 0

Answer:

x = 4

Step-by-step explanation:

When a tangent and a secant are drawn from an external point to a circle.

Then the product of the external part of the secant and the entire secant and the square of the measure of the tangent are equal, hence

x(x + 5) = 6²

x² + 5x = 36 ( subtract 36 from both sides )

x² + 5x - 36 = 0 ← in standard form

(x + 9)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 4 = 0 ⇒ x = 4

However, x > 0 ⇒ x = 4

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