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jasenka [17]
3 years ago
8

If point C is between points A and B, then AC + CB = ___.

Mathematics
2 answers:
mario62 [17]3 years ago
7 0

The correct answer is: AB

Explanation:

There are two ways you can understand this:

1. By drawing:

A ------ C ------B

As you can see the point C is between A and point B, hence AC + CB = AB. One thing to remember here is that point C can be anywhere between the point A and B, in that case, the answer will remain be the same AB. For instance:

A --- C -------------B

Again, AC + CB = AB.

2. By inference:

If the point C is between points A and B, it means that the point C lies on the line AB; if point C were not on the line AB, it will not be between points A and B. Hence, you can infer that AB is a line and point C lies on it and is between points A and B.

raketka [301]3 years ago
5 0
<span>If point C is between points A and B, then AC + CB = AB

Hope this helps!</span>
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anyanavicka [17]

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{2 (x - 6) + 5 = -5 | (equation 1)

{75 = 3 (3 t - 2) + 27 | (equation 2)

{x - 2/3 (6 c - 9) = -18 | (equation 3)

Express the system in standard form:

{0 c+0 t+2 x = 2 | (equation 1)

{0 c - 9 t+0 x = -54 | (equation 2)

{-(4 c) + 0 t+x = -24 | (equation 3)

Swap equation 1 with equation 3:

{-(4 c) + 0 t+x = -24 | (equation 1)

{0 c - 9 t+0 x = -54 | (equation 2)

0 c+0 t+2 x = 2 | (equation 3)

Divide equation 2 by -9:

{-(4 c) + 0 t+x = -24 | (equation 1)

{0 c+t+0 x = 6 | (equation 2)

{0 c+0 t+2 x = 2 | (equation 3)

Divide equation 3 by 2:

{-(4 c) + 0 t+x = -24 | (equation 1)

{0 c+t+0 x = 6 | (equation 2)

{0 c+0 t+x = 1 | (equation 3)

Subtract equation 3 from equation 1:

{-(4 c)+0 t+0 x = -25 | (equation 1)

{0 c+t+0 x = 6 | (equation 2)

{0 c+0 t+x = 1 | (equation 3)

Divide equation 1 by -4:

{c+0 t+0 x = 25/4 | (equation 1)

{0 c+t+0 x = 6 | (equation 2)

{0 c+0 t+x = 1 | (equation 3)

Collect results:

Answer: {c = 25/4

{t = 6

{x = 1

4 0
3 years ago
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