Based on the triangle sum theorem and the triangle inequality theorem:
1. B. 23°, 67°, 90°.
2. A. 1 cm, 2 cm, 3 cm.
<h3>What is the Triangle Sum Theorem?</h3>
According to the triangle sum theorem, all three interior angles of any triangle has a sum of 180 degrees.
What is the Triangle Inequality Theorem?
Based on the triangle inequality theorem, one side of a triangle must be less than or equals the sum of any other two sides of the triangle. (a + b ≥ c).
Part 1:
23° + 67° + 90° = 180°, therefore, based on the triangle sum theorem, the set of angle measures that could be the interior angles of a triangle is: B. 23°, 67°, 90°.
Part 2:
1 + 2 = 3
1 + 3 > 2
2 + 3 > 1
Therefore, based on the triangle inequality theorem, the set of side lengths that could be that of the sides of a triangle is: A. 1 cm, 2 cm, 3 cm.
Learn more about the triangle sum theorem on:
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Answer:32 hours
Step-by-step explanation: 37.5 hrs X 12.50 = 468.75
12.50+2.50 = 15
15x 31 = 465 ( just under what she made)
15x32= 480 ( what she made and some)
d. Numbers get smaller
as you move to the left on the number line.
And conversely when the
number moves along to the right it increases by interval of typically 1. Why
does this happen? Because this phenomenon is the illustration of how number are
ordered and hierarchical. Integers can better explain the numbers beyond 0. The
existence of the negative numbers which is obviously less in value than the
real numbers 1 , 2 , 3 and so on.
