Answer:
x = 3.75
Explanation:
- Both segments in the circle are secants and since they're intersecting, we can find x by applying the property of intersecting secants.
- This property states that if two secants intersect in the interior of a circle, then the product of one secant segment and its exterior segment equals the product of the other secant segment and its exterior segment.
In this case, the product of 5 and 3 equals the product of x and 4:
5 * 3 = x * 4
(15 = 4x) / 4
x = 3.75
Thus, x = 3.75.