Answer:
The value of x is 9 ⇒ C
Step-by-step explanation:
In a circle, if two chords intersected at a point inside it there are four segments created, two in each cord, the products of the lengths of the line segments on each chord are equal.
<em>Let us use this rule to solve the question</em>
In circle H
∵ Jk and LM are chords intersected at point N inside the circle
∴ The created segments are JN, Nk, and LN, NM
→ By using the rule above
∴ JN × NK = LN × NM
∵ JN = x and NK = 2
∵ LN = 3 and NM = 6
→ Substitute these values in the equation above
∴ x × 2 = 3 × 6
∴ 2x = 18
→ Divide both sides by 2 to find x
∴
∴ x = 9
∴ The value of x is 9