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What is the value of n?

Enter your answer in the box.

n =
What is the value of n?

Enter your answer in the box.

n =
Circle with two intersecting chords forming an x shape in the circle. The top left side of the x shape is labeled 5. The top right side of the x shape is labeled n plus 4. The bottom left side of the x shape is labeled 7. The bottom right side of the x shape is labeled n plus 8.

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Answer:

n=6

Step-by-step explanation:

[tex]Intesecting \ Chord \ Theorem[/tex]-When two chords intersect each other inside a circle, the products of their segments are equal.

The chord segments are given as (5,n+8) and (7,n+4)

[tex]5(n+8)=7(n+4)\\5n+40=7n+28\\2n=12\\n=6\\[/tex]

The value of n is 6

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