Answer:
X = 8
Explanation:
The given parameter are;
The length of the segments of the chords are;
Lengths of segments in Chord 1; 5, and X
Lengths of segments in Chord 2; 4, and 10
According to the Intersecting Chords Theorem, where we have two intersecting chords or secants, then, the result of multiplying the segments of one chord is equal to the result obtained from multiplying the segments of the other chord, therefore according to the theorem, we have;
5 × X = 4 × 10
∴ X = 4 × 10/5 = 8
X = 8.