The value of the variable x is 20. Then the correct option is A.
What is a circle?
It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
If the two chords of the circle intersect at a point, then the product of the segments of the chord will be equal.
We know that the product of (x - 5) & (x - 8) and (x - 5) & (x) will be equal. Then we have
(x - 5) · (x - 8) = (x - 11) · x
Simplify the equation, then the value of the variable x will be
(x - 5) · (x - 8) = (x - 11) · x
x² - 13x + 40 = x² - 11x
2x = 40
x = 20
Thus, the value of the variable x is 20.
Then the correct option is A.
More about the circle link is given below.
brainly.com/question/11833983
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