Answer:
(4)(x) = (8)(6)
Step-by-step explanation:
The given diagram shows a circle with two intersecting chords. (A chord is a straight line joining two points on the circle).
To find the value of x, we can use the Intersecting Chords Theorem.
According to the Intersecting Chords Theorem, when two chords intersect inside a circle, the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.
In this case, the segments of one chord are 4 and x, and the segments of the other chord are 8 and 6, so the equation can be set up as follows:
[tex]\left(\:\boxed{4}\:\right)\left(\:\boxed{\vphantom{8}x}\:\right)=\left(\:\boxed{8}\:\right)\left(\:\boxed{6}\:\right)[/tex]
