12. What is the value of x?

Question

asked Apr 20, 2021 90.7k views

2 Answers

Muthuvel · Answer 1 · 2021-04-21T21:28:52+0000

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:

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