In the figure, what is the value of z?
A circle is shown with two intersecting chords shown inside of it. One chord divides into line segments that measure 7 and 4. The other chord divides into line segments that measure 5 and z.
(1 point)
Responses
2.9
2.9
5.6
5.6
6
6
8.75
The intersecting chords theorem states that when two chords intersect inside a circle, the products of the segments of one chord are equal to the products of the segments of the other chord.
In this case, (7)(4) = (5)(z)
28 = 5z
z = 28 / 5
z = 5.6
Therefore, the value of z is 5.6.
Correct answer: 5.6