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fiasKO [112]
4 years ago
11

What is the value of x?

Mathematics
1 answer:
astraxan [27]4 years ago
8 0

Answer:

x = 2

Step-by-step explanation:

Given 2 secants intersecting a circle from an external point, then

The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is

(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)

(x + 1)(x + 12) = (x + 4)(x + 5) ← expand both sides

x² + 13x + 12 = x² + 9x + 20

Subtract x² + 9x from both sides

4x + 12 = 20 ( subtract 12 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

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