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What is the value of n? Enter you answer in the box.

Please help! Even just explaining how to do it will help a lot.

What is the value of n Enter you answer in the box Please help Even just explaining how to do it will help a lot class=

Respuesta :

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calculista

Answer:

The value of n is [tex]n=4[/tex]

Step-by-step explanation:

we know that

The intersecting chords theorem states that the products of the lengths of the line segments on each chord in a circle are equal

so

In this problem

[tex](n+2)16=(n+8)8[/tex]

solve for n

[tex]16n+32=8n+64[/tex]

[tex]16n-8n=64-32[/tex]

[tex]8n=32[/tex]

[tex]n=4[/tex]