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Find the value of x
A. 8
B. 12
C. 4
4. 16

Find the value of x A. 8 B. 12 C. 4 4. 16-example-1
User Chanafot
by
7.8k points

1 Answer

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Answer:

C) 4

Explanation:

We observe that the top segments are in the same 3:4 ratio as the bottom segments. This means they are the same lengths: 3x = 12, 4x = 16. Either of these equations tells us x = 4.

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Additional comment

In case you aren't convinced, you can solve this using the secant rule for segments and circles: the product of the lengths to the circle intercepts are the same for both secants.

12(12 +16) = 3x(3x +4x)

336 = 21x² . . . . . simplify

16 = x² . . . . . . . . divide by 21

4 = x . . . . . . . . . .positive square root

User Jq Beginner
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