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erma4kov [3.2K]
4 years ago
5

In the diagram below of circle O, chords AB and CD intersect at E. If AE = 6, BE = 4, and

Mathematics
1 answer:
sveta [45]4 years ago
8 0

Answer: 8

Step-by-step explanation:

I recently had the exact same question on an exam, so I am assuming you have the same numbers.

AE = 6

BE = 4

DE = 3

To start, label the diagram appropriately.

As for CE, you need to put a variable, let's say x, since you don't now the number.

Next, apply the circle rule that states the necessary formula for this problem.

Since there are two lines stretching from one end to the next of the circle, you multiply one number from the opposite.

AE = 6 and BE = 4, so multiplying the two gets you 24.

This means that DE multiplied by x is also 24.

If DE = 3, divide 24 / 3 to isolate the variable.

Once you do this, you get 8 on one side, and x on the other. X, or CE, is 8.

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3 years ago
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3 years ago
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Consider strings of four decimal digits. Which rule must be used to find the number of strings of four decimal digits that have
jeyben [28]

Answer:

36 possible ways

Step-by-step explanation:

Range of digit : 0 up to 9

To obtain the number of strings of 4 decimal digits that have exactly 3 digits that are 9s ; we use the multiplication rule :

In other to have exactly 3 digits from 4 that are 9s :

Say:

We have 3 9s and the last number could be any of the 10 possible digits except 9

First 9 = 1 possible way (since we have only one 9 between (0 to 9)

Second 9 = 1 possible way

Third 9 = 1 possible way

4th digit = 9 ways (could be any digit between 0 and 9, except 9)

Also, we consider the 4th digit's position ; as it could take up any of different positions in between the 9s = 4 ways

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5 0
3 years ago
Y/7=4 I need help on this one
Eduardwww [97]
I'm assuming that you are trying to solve the equation for y, which we can do by isolating the variable on one side of the equation.

y/7 = 4

To get rid of the denominator of y, we have to multiply both sides by this amount (7).

(y/7)*(7) = (4)(7)

When we simplify, we get:

y = 28

If we go back to the original equation and plug in our answer, 28/7 = 4, we can see that it results in a true statement.

Therefore, the answer is y=28.
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3 years ago
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