We have been given that Figure LMNO maps to L’M’N’O’ by a 125° rotation about point T. We are asked to choose correct congruency statement about our figures.
Since we know that rotations are isometric and they preserve angle measures.
We can see that after rotating figure LMNO about point T, angle L will correspond to angle L' and angle M, N and O will correspond to angles M', N' and O' respectively.
Therefore, figure LMNO will be congruent to L'M'N'O' and first option is the correct choice.
I believe you are finding the total cost of 5 shirts given
the unit rate. To compute for the total cost, you have to multiply the unit
rate to the number of shirts bought:
5 shirts x $75 unit rate = $375
Therefore, Sylvia will spend $375 to buy 5 shirts.
The answer to the question is 159 all you do is add everything together
Answer:
Explanation: As the least common multiple of two numbers is 60 , the two numbers are factors of 60 . Among {1,2,3,4,5,6,10,12,15,20,30,60} , 3 & 10 and 5 & 12 are the only two pair of numbers whose difference is 7 .
Answer: 9.97
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Explanation:
y = distance from the base of the pole to the closest person
y+200 = total horizontal distance
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Focus on the smaller right triangle.
tan(angle) = opposite/adjacent
tan(26) = 55/y
y*tan(26) = 55
y = 55/tan(26)
y = 112.76671 approximately
Make sure your calculator is in degree mode.
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Now move to the larger right triangle
tan(angle) = opposite/adjacent
tan(x) = 55/(y+200)
tan(x) = 55/(112.76671+200)
tan(x) = 55/312.76671
tan(x) = 0.17585
x = arctan(0.17585) same as 
x = 9.97349
x = 9.97 degrees approximately
