Question

Find thr valuse of x, rounded to the nearest tenth.

3.8
4
2.7
2.9​

Answer 1

Option 2. x = 4 is the correct option.

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.

Answer 2

Answer: 4 (OPTION 2)

Explanation:

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

`(A+B)B=(C+D)D`

Where:

`(A+B)=6`

`B=x\\(C+D)=8\\D=2`

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

`6x=24\\x=24/6\\x=4`

Therefore the answer is the second option.