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3 years ago

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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