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andrew-mc [135]
3 years ago
13

Given that lines L and M are parallel, which of the statements is true?

Mathematics
2 answers:
Elenna [48]3 years ago
7 0
B) is the answer because of alternate angles meaning that <DEB IS equal to <EBC AND if you take away 180 from the angles (angles on a straight line are 180) then they will both give you the same answer
puteri [66]3 years ago
3 0
Yeah B is the answer
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Hello!

The graph y < -2/3x + 2 has a dotted line. That means that any points on the dotted line or not shaded, is not a solution to this inequality. Since we are given 4 choices, we can substitute those values into the given inequality to see if it is true.

A) (0, 2)

2 < -2/3(0) + 2

2 < 2, this is false.

B) (3, 0)

0 < -2/3(3) + 2

0 < -2 + 2

0 < 0, this is false.

C) (0, 0)

0 < -2/3(0) + 2

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D). (0, 3)

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3 < 2, this is false.

To check if choice C) (0, 0) is true, we should look at the given graph.

Since (0, 0) is in the shaded area, and is not graphed on the dotted line, therefore, a solution to this linear inequality is C, (0, 0).

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