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andreyandreev [35.5K]
2 years ago
9

12. What is the value of x?

Mathematics
2 answers:
gayaneshka [121]2 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]2 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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There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
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<h3>How to use composition between two function</h3>

Let be <em>f</em> and <em>g</em> two functions, there is a composition of <em>f</em> with respect to <em>g</em> when the domain of <em>f</em> is equal to the range of <em>g</em>. In this question, the <em>domain</em> variable of the function V(r) is replaced by substitution.

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  2. V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

To learn on composition between functions: brainly.com/question/12007574

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