Answer:
a 270° rotation about point P
Step-by-step explanation:
Because after transformation MK and M'K 'are at 90°, that implies that MK is rotated as 90 ° clockwise around P or 270 ° counterclockwise around P.
Therefore the transformation composition that maps 
to 
K"L"M",
So, for this composition, the first transformation is 270° is the 270° rotation i.e to be counterclockwise about point P.
While the transformation of the second would be down translation that goes to the right.
hence, the last option is correct
Answer:
its A
Step-by-step explanation:
i literally just took the test
complete question:
A ship traveled for a total of 85 miles over the course of 5 hours. Heading west, the ship traveled at an average speed of 14 miles per hour, and heading north, it traveled at an average speed of 19 miles per hour. For how many hours was the ship heading north?
Answer:
The ship heading north traveled for 3 hours
Step-by-step explanation:
A ship travels for a total of 85 miles over the course of 5 hours journey. The speed of the journey can be calculated below.
speed = distance/time
total distance = 85
total time = 5 hours
speed = 85/5
speed = 17 miles/hr
West direction
Heading west the ship traveled at an average speed of 14 miles per hour. The speed can be represented for this journey as follows.
speed = distance/time
14 = dist/time
let
a = time traveled west
distance = 14a
North direction
speed = dist/time
19 = dist/time
time travel north = 5 - a
distance = 19(5 - a)
distance = 95 - 19a
Total distance traveled = 85 miles
85 = 14a + 95 - 19a
85 = -5a + 95
-10 = -5a
a = -10/-5
a = 2
The ship heading north will travel for 5 - 2 = 3 hours
0.25 inches represents 1 mile
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Find 1 inch:
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1 inch represents 1 ÷ 0.25 miles
1 inch represents 4 miles
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Find 3.75 inches:
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1 inch represents 4 miles
3.75 inches represent 4 x 3.75 miles
3.75 inches represent 15 miles
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Find 2.25 inches:
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1 inch represents 4 miles
2.25 inches represent 4 x 2.25 miles
2.25 inches represent 9 miles
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Find Area:
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Area = Length x Width
Area = 15 x 9
Area = 135 miles²
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Answer: 135 miles²
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