222k views
4 votes
PLEASE help!! :)

What is the value of x? round to the nearest tenth.
A circle with two chords is shown below. The diagram is not drawn to scale.

PLEASE help!! :) What is the value of x? round to the nearest tenth. A circle with-example-1
User Vilmir
by
7.6k points

2 Answers

2 votes
The correct answer is D. 11.1
User Tavon
by
7.1k points
3 votes

Answer:

The correct answer is D. x = 11.1

Explanation:

The two chords in the circle are intersecting with each other and are divided into two sub parts.

By Chord intersection theorem we have : If the two chords intersect with each other then the product of their corresponding sub parts is equal.

So, to find x :

⇒ 26 × 6 = x × 14

⇒ 14·x = 156

⇒ x = 11.1 units

Therefore, The correct answer is D. x = 11.1

User David Taylor
by
7.1k points