Dale and 2 friends share one fourth of a cake.Each peice is the same size.Dale belives each peice of cake has an angle measure i
1 answer:
Answer:
The correct answer is Dale is absolutely wrong.
Step-by-step explanation:
When the cake was complete, it had 360°. When the cake is divided into four halves each half now has 90° each.
Three person including Dale is about to eat the one fourth of the cake, divided among them equally.
Thus each friend gets ° = 30° of cake each.
But Dale claims that each piece of cake has an angle measure if 45°, which is a contradiction as each piece is supposed to to be equal.
Thus Dale is WRONG.
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The complete question is shown in the figure below. As you can see one square units is well shown in the graph. So we can conclude that the distance between two consecutive points is 1 unit. If so, then we can calculate the area of the parallelogram as follows:
Then, finding CB by Pythagorean Theorem:
And:
Therefore: