Answer: D) 3.75
Step-by-step explanation:
According to the Insersecting chords theorem, when you multiply the lengths of the segments of one of the chords in a circle, the product obtained is equal to the product of the segments of the other chord.
Based on this, you can find the value of "x" with:
[tex](5)(3)=(4)(x)\\15=4x[/tex]
Solve for "x" (Applying the Division property of equality, you can divide both sides of the equation by 4). Then:
[tex]\frac{15}{4}=\frac{4x}{4}\\\\x=\frac{15}{4}\\\\x=3.75[/tex]
This value matches with the option D.
