Which rigid transformation would map ΔABC to ΔABF?
2 answers:
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Answer:
The current of the water is 1.714 mph.
Step-by-step explanation:
Let the boat in t hours can travel 18 miles upstream, and 24 miles downstream.
Therefore, if the speed of the boat in still water is 12 mph and that of water is x mph , then we can write
........ (1) and
............ (2)
Now, adding those two equations (1) and (2) we get,
⇒ t = 1.75 hours.
Now, from equation (1) we get
⇒ x = 1.714 mph
Therefore, the current of the water is 1.714 mph. (Answer)
Answer:
12.1
Step-by-step explanation:
The dashed line joining M₁ and M₂ is the hypotenuse of a right triangle as shown in red below.
The base of the triangle is
x₂ - x₁ = 2 - (-3) = 2+ 3 = 5
The height of the triangle is
y₂ - y₁ = 16 - 5 = 11
We can now use Pythagoras' theorem to calculate distance between the two midpoints.
x² = 5² + 11² = 25 + 121 = 146
x = √146 = 12.1
The distance between M₁ and M₂ is 12.1.
