Question

Solve for x. A) 3.0 B) 3.25 C) 3.5 D) 3.75

Answer 1

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:

$(5)(3)=(4)(x)\\15=4x$

Solve for "x" (Applying the Division property of equality, you can divide both sides of the equation by 4). Then:

$\frac{15}{4}=\frac{4x}{4}\\\\x=\frac{15}{4}\\\\x=3.75$

This value matches with the option D.