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andreyandreev [35.5K]
3 years ago
9

12. What is the value of x?

Mathematics
2 answers:
gayaneshka [121]3 years ago
6 0

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

Vanyuwa [196]3 years ago
5 0

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

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