Question

for circle h, jn = 5, nk = 4, ln = 2, and nm = x. solve for x.

Explanation:

Step1: Apply intersecting - chords theorem

If two chords \(JK\) and \(LM\) intersect at a point \(N\) inside a circle, then \(JN\times NK = LN\times NM\).

Step2: Substitute given values

We know that \(JN = 5\), \(NK = 4\), \(LN = 2\), and \(NM=x\). Substituting into the formula \(5\times4=2\times x\).

Step3: Solve for \(x\)

The equation \(20 = 2x\). Divide both sides by 2: \(x=\frac{20}{2}=10\).

Answer:

10