Question

question 2(multiple choice worth 1 points)
(07.01 mc)
for circle h, jn = 3, nk = x, ln = 2, and nm = 6. solve for x.

Explanation:

Step1: Apply the intersecting chords theorem

When two chords intersect in a circle, the products of the lengths of their segments are equal. So, \(JN\times NK = LN\times NM\).

Step2: Substitute the given values

Given \(JN = 3\), \(NK=x\), \(LN = 2\), and \(NM = 6\). Substitute into the formula: \(3\times x=2\times6\).

Step3: Solve for \(x\)

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Answer:

\(4\)