Answer:
11.1
Step-by-step explanation:
To find the value of x, we can use " Intersecting Chords Theorem".
It states that in a circle, when two chords intersect each other, the product of the segments of one chord is equal to the product of the segments of the other chord.
Using this we can say that:
[tex] 14 \times x = 6 \times 26 [/tex]
[tex] 14x = 156 [/tex]
Divide both sides by 14.
[tex] \dfrac{14x}{14} = \dfrac{156}{14} [/tex]
[tex] x = 11.142857142857 [/tex]
[tex] x = 11.1 \textsf{(in 1 d.p.)}[/tex]
So, the value of x is 11.1.
