The value of x for the circle h with chords jk and lm intersecting at n inside the circle is 10.
The interseting chord theorem states that, when two chords in a circle intersect each other, then the product of their segment is equal.
For circle h in the given problem,
[tex]JN = 5, \\NK= 4, \\LN =2[/tex],
The value of segment NM is x. The figure of the circle h is attached below. In this figure, using the interseting chord theorem the chords can be given as,
LN×NM=JN×NK
2×x=5×4
x=20/2
x=10
Thus, the value of x for the circle h with chords jk and lm intersecting at n inside the circle is 10.
Learn more about the interseting chord theorem here;
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