Circle Y is shown. Line segments X Y and Z Y are radii. The length of X Y is r. Angle X Y Z is StartFraction 2 pi Over 3 EndFrac
2 answers:
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Answer:
We need the following three rigid motions:
i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.
Step-by-step explanation:
We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':
i) Reflection around y-axis:
(Eq. 1)
ii) Translation three units in the -y direction:
(Eq. 2)
iii) Translation four units in the -x direction:
(Eq. 3)
We proceed to proof the effectiveness of operations defined above by testing point D:
1) Given.
2) By (Eq. 1)
3) By (Eq. 2)
4) By (Eq. 3)/Result
Answer:
Step-by-step explanation:
Area of a rectangle = width × length
Therefore, to find the length of the rectangle, we need to divide the area by the width.
Using long division:
Therefore, the <u>length</u> of the rectangle is: