A circle is shown. Secants S V and T V intersect at point V outside of the circle. Secant S V intersects the circle at point W. Secant T V intersects the circle at point U. The length of T U is y minus 2, the length of U V is 8, the length of S W is y +4, and the length of W V is 6. What is the length of line segment SV? 6 units 8 units 12 units 16 units

Given:

Secants S V and T V intersect at point V outside of the circle. Secant S V intersects the circle at point W. Secant T V intersects the circle at point U.

The length of TU is (y - 2).

The length of UV is 8.

The length of SW is (y + 4)

The length of WV is 6.

We need to determine the length of line segment SV.

Value of y:

The value of y can be determined using the intersecting secant theorem.

Applying, the theorem, we get;

Substituting the values, we have;

Thus, the value of y is 6.

Length of SV:

The length of SV is given by

Thus, the length of SV is 16 units.

Hence, Option D is the correct answer.

hiking down a winding trail.

step-by-step explanation:

28

step-by-step explanation:

because that's the answer