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For circle h, jn = 5, nk = 4, ln = 2, and nm = x. solve for x. circle h with chords jk and lm intersecting at n inside the circle 10 2.5 1.6 7

Sagot :

The value of x for the circle h with chords jk and lm intersecting at n inside the circle is 10.

What is interseting chord theorem?

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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