Respuesta :

Answer: 4  (OPTION 2)

Step-by-step explanation:

1. To solve this problem you must apply the  Intersecting secants  theorem, as you can see below:

[tex](A+B)B=(C+D)D[/tex]

Where:

[tex](A+B)=6[/tex]

[tex]B=x\\(C+D)=8\\D=2[/tex]

2. Then you must susbstitute values and solve for x, as following:

[tex]6x=24\\x=24/6\\x=4[/tex]

Therefore the answer is the second option.

Answer:

Option 2. x = 4 is the correct option.

Step-by-step explanation:

Given parameters are two chords with the length of 6, 8 with the segments x and 3 respectively.

As we know from the theorem of secants drawn in a circle from a point outside the circle is

3 × 8 = x × 6

x = (3 × 8)/6 = 24/6 = 4

therefore x = 4 is the correct answer.