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 n309 Tangents to Circles 2 Photo is attached please help Do not answer just to get points thank you Please help me Im desperate people class=

Respuesta :

check the picture below

solve for "n"
Ver imagen jdoe0001

Answer: n=6

Step-by-step 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

[tex](n+4)\times7=5\times(n+8)\\\\\Rightarrrow7n+28=5n+40\\\\\Rightarrow7n-5n=40-28\\\\\Rightarrow2n=12\\\\\Rightarrow n=6[/tex]

Hence, the value of n = 6 units

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