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ipn [44]
3 years ago
8

Given the figure below, find the values of x and z.

Mathematics
1 answer:
ankoles [38]3 years ago
7 0
<h3>Answers:</h3><h3>x = 4</h3><h3>z = 61</h3>

===================================================

Work Shown:

The left and right angles (119 and 9x+83) are vertical angles.

Therefore, they are congruent or equal angles.

9x+83 = 119

9x = 119-83 ..... subtract 83 from both sides

9x = 36

x = 36/9 .... divide both sides by 9

x = 4

--------

To find the value of z, we take advantage of the fact that angles 119 and z are supplementary. They add to 180 degrees.

z+119 = 180

z = 180-119 .... subtract 119 from both sides

z = 61

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Comment
(my edit) it is not that 2/15 is wrong (although it is not entirely right).
1/3 is the correct answer if you assume that what happened during the first draw has nothing to do with what will happen on the second. It is like saying if you throw 11 heads in a row with a fair coin, what are the chances of throwing a heads on the 12th throw? The answer is 1/2. That is the same kind of question you have asked.

The two of us who have responded have really responded to what are the chances of drawing 2 white chips. The question really does not restrict us in a way that prevents us from saying that. I'll stick with
B <<<< answer
but I think it would be nice if the writer of the question made it clear that 1/3 should be the proper answer. I am glad you came back and posted the right answer. It makes me think. 

The semi right answer is B <<<<---- 

If my reasoning bothers anybody, I'll reedit again. I'm only leaving it because sometimes a mistake is more instructive than a given answer.
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