Question

Find the value of x, rounded to the nearest tenth A. 24.5 B. 18 C. 16.1 D. 2

Answer 1

Answer:

B. 18

Step-by-step explanation:

Given:

There are two chord in the circle.

These chords are divided in two segments.

Segments of 1 chord is 21 and 6.

Segments of 2 chord is x and 7.

Now by using Intersecting Chord Theorem which states,

"When two chords intersect each other inside a circle, the products of their segments are equal."

Hence from above theorem we can say that;

$x\times7=21\times6\\7x = 126\\x= \frac{126}{7}\\x=18$

Hence the Value of x is 18.