Answer: [tex]x=3.75[/tex]
Step-by-step explanation:
For this exercise you need to apply the Intersecting Chords Theorem.
In this case, based on that Theorem, you can write the following equation:
[tex]CE*DE=AE*BE[/tex]
You can identify in the picture that:
[tex]CE=x\\\\DE=8\\\\AE=6\\\\BE=5[/tex]
Now, knowing those values, the next step is to substitute them into the equation:
[tex]CE*DE=AE*BE\\\\x*8=6*5[/tex]
Finally, you need to solve for "x" in order to find its value. You get that this is:
[tex]8x=30\\\\x=\frac{30}{8}\\\\x=3.75[/tex]
