Which relationship is always correct for the angles x, y, and z of triangle ABC?
2 answers:
Answer: B. y + z = x
Step-by-step explanation:
Given: A triangle ABC in which is labelled as 'y' and
is labelled as 'z' and x is an exterior angle to
.
We know that there is a property of triangles that the measure of exterior angle is equal to the the sum of the measure of the opposite interior angles.
Therefore, x=y+z
Thus, B. is the right answer.
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The closest to the maximum number of cups the punch bowl can hold is 30
<h3>How to determine the number of cups?</h3>The given parameters are:
1 cup = 15 cubic inches
Diameter of bowl, d = 12 inches
The radius is the half of the diameter.
So, we have:
r = 6
The volume of the bowl is then calculated using:
This gives
Evaluate
V = 452.16
The maximum number of cups is then calculated using:
Cups = 452.16/15
Evaluate
Cups = 30.1444
Approximate
Cups = 30
Hence, the closest to the maximum number of cups the punch bowl can hold is 30
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