Answer:
The speed of the boat in still water is 10 miles / hour
Step-by-step explanation:
The trip there, and the trip back are the same -- 30 miles
Let the rate of the boat = x
Let the rate of the water = y
30 = 2*(x + y)
30 = 6*(x - y)
Divide the top equation by 2
Divide the bottom equation by 6
15 = x + y
<u>5 = x - y </u> Add the equations together.
20 = 2x Divide by 2
20/2 = x
x = 10
Answer:
The correct options are;
D. Triangles ABC and A'B'C' are congruent
E. Angle ABC is congruent to angle A'B'C'
F. Segment BC is congruent to segment B'C'
H. Segment AQ is congruent to segment A'Q'
Step-by-step explanation:
The given information are;
The angle of rotation of triangle ABC = 60°
Therefore, given that a rotation of a geometric figure about a point on the coordinate plane is a form of rigid transformation, we have;
1) The length of the sides of the figure of the preimage and the image are congruent
Therefore;
BC ≅ B'C'
2) The angles formed by the sides of the preimage are congruent to the angles formed by the corresponding sides of the image
Therefore;
∠ABC ≅ ∠A'B'C'
3) The distances of the points on the figure of the preimage from the coordinates of the point of rotation are equal to the distances of the points on the figure of the image from the coordinates of the point of rotation
Therefore;
Segment AQ ≅ A'Q'.
Answer:
7/50
Step-by-step explanation:
Step-by-step explanation:
its round is 200.0000 .
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