Answer:
From the graph attached, we know that 
by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like 
and 
.
We also know that, by definition of linear pair postulate, 
and are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that and together are 180°, because they are on a straight angle. That is, 
If we substitute for , we have 
, which means that and are also supplementary by definition.
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▹ Answer
<em>1/18 of a gallon of juice in each cup.</em>
▹ Step-by-Step Explanation
Since we have 4/9 of a gallon of juice for 8 cups, we will divide to find the amount of juice in each cup.
Since this operation is division, we have to change 8 to it's reciprocal which is 1/8:
Our final answer will be 1/18 of a gallon of juice in each cup.
Hope this helps!
CloutAnswers ❁
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A suitable calculator* can do this easily.
61°38'45" = (61 +(38 +45/60)/60)° ≈ 61.65°
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I like the RealCalc app for Android, but many graphing calculators also will do this conversion. Of course, you can simply evaluate the expression as above.
59/125, 472/1000, 236/500
