All of these sets meet the requirements of the triangle inequality. The sum of any two numbers in the set is greater than the third one. (You really only need to check that the sum of the smallest two is greater than the largest.)
It can help to resolve the numbers that are only indicated as to value.
√13 ≈ 3.606
2√10 ≈ 6.325
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Your comparisons can be ...
2 + 3 = 5 > 3.606 . . . is a triangle
5 + 5 = 10 > 6.325 . . . . . . is a triangle
5 + 12 = 17 > 15 . . . . . . . . is a triangle
Answer:
∠2 = ∠3 is a pair of Vertical Angles.
Step-by-step explanation:
Whenever two lines intersect with each other, the angle formed between them is called Vertically Opposite Angle.
Here, line l intersects the traversal so,
the angle formed between them ∠1 and ∠4 are vertically opposite.
So, ∠1 = ∠4
Also, as ∠1 + ∠3 = ∠2 + ∠4 = 180° (LINEAR PAIRS)
So, ∠3 = ∠2 are also vertical angles.
#2 is answer 4, #3 is answer 3, #4 is answer 4. The answer to #5 is 6xy if it is a possibility.
Answer:
(B) 6.82 times 10 Superscript 12
Step-by-step explanation:
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