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What is the value of n?

3.09: Tangents to Circles 2
Photo is attached, please help! Do not answer just to get points, thank you.


Please help me I'm desperate people

What is the value of n? 3.09: Tangents to Circles 2 Photo is attached, please help-example-1
User Juancho
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check the picture below

solve for "n"
What is the value of n? 3.09: Tangents to Circles 2 Photo is attached, please help-example-1
User Heading
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4 votes

Answer: n=6

Explanation:

  • The intersecting chords theorem says that when two chords intersect each other inside a circle then the products of their segments are equal.

Therefore from the given figure, by intersecting chords theorem we have


(n+4)*7=5*(n+8)\\\\\Rightarrrow7n+28=5n+40\\\\\Rightarrow7n-5n=40-28\\\\\Rightarrow2n=12\\\\\Rightarrow n=6

Hence, the value of n = 6 units

User Dylan Meeus
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