NEED HELP PLEASEEEEEEEEEEEPoints A′, B′, and C′ are the images of 180-degree rotations of A, B, and C, respectively, around point O.
Answers
Answer:
35 degrees
Step-by-step explanation:
Final answer:
Points A', B', and C' are the images of 180-degree rotations of points A, B, and C, respectively, around point O. These rotations involve equal angles but different arc lengths due to the varying distances from the center of rotation.
Explanation:
When objects rotate about some axis, each point in the object follows a circular path. In the given question, points A', B', and C' are the images of 180-degree rotations of points A, B, and C, respectively, around point O. These rotations are represented by the angles AO, BO, and CO.
Since all three rotations are 180 degrees, the angles AO, BO, and CO are equal. However, the arc lengths As2, Bs2, and Cs2 are not equal because the points A', B', and C' move through greater arc lengths due to their greater distance from the center of rotation.
Therefore, the rotation of points A, B, and C results in the images A', B', and C' moving through the same angle AO, but covering different arc lengths As2, Bs2, and Cs2 due to their varying distances from the center of rotation.
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Answers
Answer: 6/5
Step-by-step explanation:
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Answers
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Answers
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Answers
Answer:
Parallel: y = 3x +b, where b ≠ 4
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Step-by-step explanation:
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Answers
Answer:
The correct answer is A. The probability of randomly selecting a daisy from Bouquet S is less than the probability of randomly selecting a daisy from bouquet T.
Step-by-step explanation:
We are told that Bouquet S contains 30 flowers and 13 of those flowers are daisies. Therefore, the probability of selecting a daisy from Bouquet S can be modeled by:
13/30, which is greater than 1/3 but less than 1/2
We are also told that Bouquet T contains 13 flowers and 13 daises. From this information, we can conclude that all of the flowers in Bouquet T are daises, or the probability can be modeled by:
13/13 = 1
Therefore, because the probability of selecting a daisy from Bouquet S is 13/30 and the probability of selecting a daisy from Bouquet T is 1, we can conclude that, as option A states, the probability of selecting a daisy from Bouquet S is less than the probability of selecting a daisy from Bouquet T.
Hope this helps!
Answer:
I believe the answer is A.
Step-by-step explanation:
If there are 13 daises per bouquet, that means one bouquet is all daises. The other bouquet has 30 flowers. 30-13 is 17 which means there are 17 other flowers rather than daises. 17 is greater than 13 by 4 which is not that much. Therefore I think the answer is letter A.
41 inches
B.
4 inches
C.
38 inches
D.
30 inches
Answers
Answer:
30
Step-by-step explanation:
the answer has to be greater than 6 and less than 36
15+21=36, 21-15=6
Final answer:
In triangle ABC, where AB = 15 inches, BC = 21 inches, the possible length of AC is 30 inches based on the triangle inequality theorem that states the sum of two sides of a triangle must be greater than the length of the remaining side. The length of AC should be between the sum and the difference of AB and BC. Only option D (30 inches) falls in this range.
Explanation:
To find out the possible lengths of side AC in triangle ABC, we can apply the triangle inequality theorem which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. Here, AB = 15 inches and BC = 21 inches. Therefore, AC must be less than the sum of AB and BC(15 + 21 = 36 inches) and more than the difference of AB and BC(21 - 15 = 6 inches).
So, the length of AC must be between 6 inches and 36 inches. Looking at the options, only D. 30 inches falls within this range. As a result, 30 inches could be the length of side AC in triangle ABC.
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