Answer: Choice D. sqrt(30)
sqrt is shorthand for "square root"
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Explanation:
We'll use the intersecting chords theorem here
We multiply the pieces of each chord together and set the products equal to one another to help solve for x
TW*WU = CW*WV
x*2x = 6*10
2x^2 = 60
x^2 = 60/2
x^2 = 30
x = sqrt(30)
The value of x is √30. The correct option is D.
The measure of the angle created when two chords collide inside a circle is one-half the sum of the arcs intercepted by the angle and its vertical angle.
Use the intersecting chords theorem here. Multiply the pieces of each chord together and set the products equal to one another to help solve for x
TW*WU = CW*WV
x*2x = 6*10
2x² = 60
x² = 60/2
x² = 30
x = √(30)
Therefore, the value of x is √30. The correct option is D.
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