Question

What is the value of n?

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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.

Answer 1

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:

$\frac{7}{n + 4} = \frac{5}{n + 8}$

Cross multiply

$7n + 56 = 5n + 20$

Collect like terms

$7n - 5n =20 - 56$

Evaluate the differences

$2n =-36$

Divide through by 2

$n = -18$

Hence, the value of n is -18

Read more about chords at:

https://brainly.com/question/13950364

Answer 2

Answer: 6

Step-by-step explanation: