Question

What is the value of n?

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n =
m
Circle with two intersecting chords forming an x shape in the circle. The top left side of the x shape is labeled 5 meters. The top right side of the x shape is labeled 2 meters. The bottom left side of the x is labeled 15 meters.The bottom right side of the x is labeled n.

Answer 1

6 m

Explanation:

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Answer 2

6 meters

Explanation:

Intersecting Chord Theorem: When two chords intersect each other inside a circle, the products of their segments are equal.

One chord is divided into two segments with lengths of 15 m and 2 m.

Anothe chord is divided into two segments with measures of 5 m and n m.

Therefore,

`5\cdot n=15\cdot 2\\ \\5n=30\\ \\n=6\ m`