Intersecting chords are chords that intersect one another at a point
The value of n is -18
How to determine the value of n
Using the intersecting chord theorem, we have:
[tex]\frac{7}{n + 4} = \frac{5}{n + 8}[/tex]
Cross multiply
[tex]7n + 56 = 5n + 20[/tex]
Collect like terms
[tex]7n - 5n =20 - 56[/tex]
Evaluate the differences
[tex]2n =-36[/tex]
Divide through by 2
[tex]n = -18[/tex]
Hence, the value of n is -18
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