Question

12. What is the value of x?

Answer 1

Answer: $x=3.75$

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:

$CE*DE=AE*BE$

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:

$8x=30\\\\x=\frac{30}{8}\\\\x=3.75$

Answer 2

Answer:

$x=3.75\ units$

Step-by-step explanation:

we know that

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

substitute the given values

$(6)(5)=8x$

solve for x

$x=\frac{30}{8}$

$x=3.75\ units$