Answer:
19 degrees.
Step-by-step explanation:
First solve the angles in the top triangle:
FHG = 180 - 135 = 45 (angles on a straight line = 180)
FGH = 180 - 105 = 75 (angles on a straight line = 180)
Using these we get HFG = 180 - 45 - 75 = 60 (angles in a triangle = 180)
Then because HFG is directly opposite DFC on the crossed lines, we know they are equal: DFC = 60
FDC = 180 - 119 = 61 (anges on a straight line = 180)
Now if we label ABC (the target angle) as x then we known ACB = 180 - 40 - x.
With this we know FCD = 180 - ACB = 180 - (180 - 40 - x) = 40 + x (angles on a straight line).
Finally using the FDC triangle we have 40 + x + 60 + 61 = 180 so x = 180 - 40 - 60 - 61 = 19 degrees.
Your product is 900 and you used associative property
Choice A) The vertical line test confirms that the graph is a function
True. It is impossible to pass a single vertical line through more than one point on this graph.
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Choice B) The domain is x >= 2
False. The domain is the set of all real numbers
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Choice C) The range is y >= 2
True. The smallest y value possible is y = 2. This is where the lowest part of the graph occurs.
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Choice D) This piecewise function is made up of four intervals
False. There are two intervals (the curved one on the left; the straight piece on the right)
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Choice E) Each interval of the piecewise function contains a graph of a linear function.
False. While the piece on the right is linear, the left portion is nonlinear (curved piece).
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In summary we have:
choice A) true
choice B) false
choice C) true
choice D) false
choice E) false
So the answers are choice A and choice C