Use the diagram to solve for segments sw and wq. show your work and/or explain how you determined the answer

The intersecting chords theorem states that whenever two chords intersect, the product of their pieces is constant.

So, in this case, we have

Plugging your values, we have

This equation has solutions , but we can't choose , because it would lead to

So, the only feasible solutions is

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have