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It makes more sense if you think about it in numerical terms.
Say if there were 10 eggs per carton and there were 5 cartons, what would you do to find the total?
You would multiply them
It is the same in this case
The expression would be n x k
It can be written as just nk though
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So
2/6 of 318=106
so 106-1/2 or 106/2=53
So he has 53 boxes left
Answers:
y = 50
angle AOB = 100
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Explanation:
Angle x is an inscribed angle that subtends or cuts off minor arc AB. This is the shortest distance from A to B along the circle's edge.
Angle y is also an inscribed angle that cuts off the same minor arc AB. Therefore, it is the same measure as angle x. We can drag point D anywhere you want, and angle y will still be an inscribed angle and still be the same measure as x.
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Point O is the center of the circle. This is because "circle O" is named by its center point.
Angle AOB is considered a central angle as its vertex point is the center of the circle.
Because AOB cuts off minor arc AB, and it's a central angle, it must be twice that of the inscribed angle that cuts off the same arc.
This is the inscribed angle theorem.
Using this theorem, we can say the following
central angle = 2*(inscribed angle)
angle AOB = 2*(angle x)
angle AOB = 2*50
angle AOB = 100 degrees
5*4 + 3 = 20 + 3 = 23 the answer to the question
