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12. What is the value of x?

12. What is the value of x?-example-1
User MelMed
by
8.2k points

2 Answers

1 vote

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

User Muthuvel
by
8.1k points
3 votes

Answer:


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

User Bolek Tekielski
by
8.0k points

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