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Stells [14]
4 years ago
7

The image below shows two parallel lines cut by a transversal. What is the value of x + y?

Mathematics
2 answers:
earnstyle [38]4 years ago
5 0
The value of x + y = 180
TEA [102]4 years ago
5 0
Well, since you haven't given me the values for at least one of the variables, all i can tell you right now is that they both should equal to 180 degrees. Why? They are supplementary! And supplementary angles equal to 180 degrees. So x+y= 180. 
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rodikova [14]

Let length, width, and height be s.

Then diagonal of any face would be √( s² + s² ) = √( 2s² )

And we know that it measures  √( 500 ) so that's sufficient for us to figure out the length of an edge of the cube. We do not need to worry about the diagonal of the cube.

Now we have to solve √( 500 ) = √( 2s² )

Square both sides:

500 = 2s²

Divide both sides by 2:

250 = s²

Take the square root of both sides:

√(250) = s ≈ 15.8113883

Rounding to nearest tenth:

s ≈ 15.8

Final answer: 15.8

Hope this helps.

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