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Pepsi [2]
3 years ago
15

If line n bisects CE, find CD. ​

Mathematics
2 answers:
Artist 52 [7]3 years ago
8 0

If it bisect, then using the Line Bisector Theorem, it must be equal.

So x+6=4x-21

get like terms on 1 side

x+6=4x-21

-x. +21

27= 3x

x=9

plug the x in

CD= 9+6

CD=15

AnnZ [28]3 years ago
6 0
ANSWER:
x=9, CD=15

EXPLANATION:
Since line n bisects CE, and the word “bisect” means to divide into two congruent parts, we can infer that CD=DE.

We can then substitute in x+6 in place of CD, and 4x-21 in place of DE, creating the equation x+6=4x-21.

After solving for x, we can then plug in the x-value of 9 into the expression for CD, and get the final answer of 15.
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Hey there! I'm happy to help!

The factors are the numbers you multiply to get 47. And they can't be fractions or numbers with fractions. They have to be integers (numbers without fractions).

So far, we see that we can multiply 1 and 47 to get 47. To see if there are any more, we see what numbers 1-10 we can divide by.

We cannot divide by 2 because 47 is odd.

We cannot divide by 3 because it gives us 15.6666...

We can't divide by 4 because 47 is odd.

We can't divide by 5 because 47 does not have a 5 or 0 in the ones place.

We can't divide by 6 because 47 is odd.

We can't divide by 7 because it gives us 6.714285....

We can't divide by 8 because 47 is odd.

We can't divide by 9 because it gives us 5.2222

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Therefore, the factors of 47 are 1 and 47. A number whose only factors are 1 and itself is called a prime number.

I hope that this helps! Have a wonderful day! :D

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