HELP PLEASE

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

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

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

none of these

step-by-step explanation:

23 + 34 add up to 57 so just inform the teacher of this really stupid mistake