Find the value of x, rounded to the nearest tenth.
answer options: 3.8, 4, 2.7, 2.9

4

Step-by-step explanation:

If two chords intersect externally, then the product of the length of the chord and the length of the part outside the circle is a constant.

Thus from the figure,

we can deduce that:

8×3=6×x

collecting the like terms together we get:

24=6x

x=4

x =4

Step-by-step explanation:

Refer the attached figure:

We will use Intersecting secants theorem

Theorem : When two secant lines intersect each other outside a circle, the products of their segments are equal. i.e. (refer the attached figure)

So, using this theorem

Hence the value of x is 4.