Question

12. What is the value of x?

Answer 1

Answer:
`x=3.75`

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:

`CE*DE=AE*BE`

You can identify in the picture that:

`CE=x\\\\DE=8\\\\AE=6\\\\BE=5`

Now, knowing those values, the next step is to substitute them into the equation:

`CE*DE=AE*BE\\\\x*8=6*5`

Finally, you need to solve for "x" in order to find its value. You get that this is:

`8x=30\\\\x=(30)/(8)\\\\x=3.75`

Answer 2

`x=3.75\ units`

Explanation:

we know that

`(AE)(EB)=(CE)(ED)` ----> by Intersecting Chords Theorem

substitute the given values

`(6)(5)=8x`

solve for x

`x=(30)/(8)`

`x=3.75\ units`