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A circle is shown. Secant X Z and tangent W Z intersect at point Z outside of the circle. Secant X Z goes through the center of the circle and intersects the circle at point Y. The length of W Z is k + 4, the length of Z Y is k, and the length of X Y is 12.
What is the length of line segment XZ?

4 units
8 units
16 units
20 units

HELP PLEASEEEEEEEEEEEEE A circle is shown Secant X Z and tangent W Z intersect at point Z outside of the circle Secant X Z goes through the center of the circle class=

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Answer:

the answer is 4

Step-by-step explanation:

substitution

(12+k) x k = (k + 4) ^2

(12+4) x 4 = (4 + 4) ^2

16 x 4 = (8) ^2

64=64

The answer is 4 units.

How to find the length of line segment XZ?

Given:

A Circle with Secant X Z and tangent W Z intersect at point Z outside of the circle. Secant X Z goes through the center of the circle and intersects the circle at point Y. The length of W Z is k + 4, the length of Z Y is k, and the length of X Y is 12.

This will imply the equation (12+k) x k = (k + 4) ^2 where k is the missing length.

Substitution will lead to:

(12+k) x k = (k + 4) ^2

(12+4) x 4 = (4 + 4) ^2

16 x 4 = (8) ^2

64=64.

Learn more about Circles here:

https://brainly.com/question/14261613

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