Answer:
A)segment A"B"= AB / 2
Step-by-step explanation:
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A"B"?
coordinate plane with triangle ABC at A(-3, 3), B(1, -3), and C(-3, -3)
A)segment A"B"= AB / 2
B)segment AB = segment A"B"/ 2
C)segment AB / segment A"B"= 1/2
D)segment A"B" / segment AB = 2
A"B" = AB / 2
Because
1. translations do not change the lengths of segments, so (x+2, y+0) preserves the length of AB, i.e. mA'B' = mAB
2. Dilation causes the new segment to be transformed to a new length according to the old length * the scale factor of (1/2).
Therefore A"B" = (1/2)AB, or AB/2.
Answer: They cannot meet because two skew lines do not intersect each other.
Explanation:
Skew lines is a concept used in geometry to define lines that do not intersect each other but are not parallel.
In this case, the lines are not parallel because they lie in different planes, which in turn, do not intersect each other.
Therefore, runing the lnes in different planes and in different directions, they cannot not, in spite of not being parallel, intersect each other, which is called that the lines are skewed.
Donna's and Charlie's paths are an exelent illustration of what skew lines are: since Donna's and Charlie are in different levels, as long as each remains in parallel levels, their paths wiil not meet each other.
The correct statements are:
- the volume of the yellow candle is about 46.05 inches cubed.
- the radius of the yellow candle is 2 in
- he base area of the yellow candle is about 6.28 inches squared.
- the price of one yellow candle is about $16.12.
<h3>
What are the correct statements?</h3>
Volume of a cone = 1/3(πr²h)
- π = 3.14
- r = radius = diameter / 2 = 4/2 = 2 inches
- h = height
Volume of a cone = 1/3 x 2² x 11 x 3.14 = 46.05 inches cubed.
Base area = πr²
3.14 x 4 = 12.56 inches squared.
Price of one yellow candle = volume x price per cubic unit
46.05 x $0.35 = $16.12
To learn more about the volume of a cone, please check: brainly.com/question/13705125
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Answer:
Approximately 24–36 pounds
Step-by-step explanation:
Given:
Weight of standard American Eskimo dog has mean= 30 pounds
A standard deviation= 2 pounds
For 99.7% of the dogs according to normal distribution would lie between 3 standard deviations on either side of the mean.
i.e. lower bound= Mean- 3 (standard deviation)
= 30-3(2)
=30-6
=24
Upper bound = Mean +3 (standard deviation)
= 30+3(2)
=30+6
=36
Hence the range of weights : 24-36 pounds
correct answer Approximately 24–36 pounds!
Answer:
If the two linear equations have the same slope, the equations represent the same line. Since a line intersects with itself everywhere, there will be an infinite number of solutions.
