Find the value of x.

Mathematics

1 answer:

Masja [62]3 years ago

8 0

Answer:

x = 8

Step-by-step explanation:

Two secants drawn from an external point to the circle.

The (outside ) × (whole) of one secant is equal to the (outside) × (whole) of the other secant, that is

(x + 2)(x + 2 + 2x - 8) = (x + 1)(x + 1 + 2x - 5)

(x + 2)(3x - 6) = (x + 1)(3x - 4) ← expand both sides using FOIL

3x² - 12 = 3x² - x - 4 ( subtract 3x² - x - 4 from both sides )

x - 8 = 0 ( add 8 to both sides )

x = 8

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