Answer:
1/5, 6/15, 2/3
Step-by-step explanation:
1/5=3/15
2/3=10/15
6/15= 6/15
The first thing in the reason column of a two colum proof is always GIVEN as it always coincide with an established fact which has been stated in the question to be worked on.
Two colum proofs involves using a tabulated format in establishing a conjecture.
Statements or facts are written on one side and the reason why the statement is true is stated in the reason column which is on the opposite side.
Starting a two column proof usually involve stating the the assumptions which are given about the shape or geometry.
Since each statement made requires a reason, then the reason behind the first statement which is based on what is stated in the question is written as GIVEN.
THEREFORE, after the statement given in the question has been established, then other reasons such as distributive, Commutative and other reasons may be used to proof one's solution statement.
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Answer:
The distance traveled to return directly to the starting point = 34 miles.
Step-by-step explanation:
Given:
Distance covered in north = 16 miles
Distance covered in east = 30 miles
We have to find the displacement (the shortest distance).
Or
Distance traveled to return directly back to the starting point.
Let the origin be O 
and the distance covered in north be ON and distance covered from right to the east is NE.
Move rightward from N point to the right that is towards east direction.
N is a northern point and E is the eastern point.
ON = 
miles
NE = 
miles
We can imagine that it forms a right angled triangle making 90 (deg) at N by joining E with O ,where OE is the
hypotenuse.
Applying Pythagoras formula.
Where,
Hypotenuse = 
The distance traveled in returning back to the starting point is equivalent to the measure of the hypotenuse.
So,
Hypotenuse = 
= 
= 
= 
miles
So the distance traveled to return directly to the starting point = 34 miles.
The answer is 1.29401 x 10^5
Answer: arc length = r * θ = (3 in) * (135°) = (3 in) * (3π / 4 rad) = 9π / 4 in.
Step-by-step explanation:
