Question

Find the value of x.



A. 3
B. 2
C. 6
D. 5

Answer 1

To solve this, you use the rule where AK x KC = DK x KB. In this case, 14(3+3X) = 12(4X+1). Then you solve like it's basic algebra. Your answer is then x=5. Or in this case answer choice D.

Answer 2

The value of the variable x will be 5. Then the correct option is D.

What is a circle?

The circle is at equidistant of points drawn from the center. The radius of a circle is the distance between the center and the circumference.

A relationship between the four line segments that pair chords colliding in a circle produce.

The product of the line segment DK and KB is equal to the product of the line segment AK and KC.

    DK × KB = AK × KC

12 × (4x + 1) = 14 × (3x + 3)

    48x + 12 = 42x + 42

 48x – 42x = 42 – 12

             6x = 30

               x = 5

Thus, the value of the variable x will be 5.

Then the correct option is D.

More about the circle link is given below.

https://brainly.com/question/11833983

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