Respuesta :

Answer:

The value of x is 4

Step-by-step explanation:

we know taht

The intersecting chords theorem  states that the products of the lengths of the line segments on each chord are equal.

so

In this problem

[tex](12)(x)=(8)(x+2)[/tex]

solve for x

[tex]12x=8x+16[/tex]

[tex]12x-8x=16[/tex]

[tex]4x=16[/tex]

[tex]x=4[/tex]

it is x=4....i think