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kirill115 [55]
4 years ago
6

Imagine that the rectangle is rotated counterclockwise. Make a conjecture as to which properties of a figure stay the same after

the rotation. vertices sides angles lengths shape size

Mathematics
2 answers:
bazaltina [42]4 years ago
8 0
Angles, length, shape
anyanavicka [17]4 years ago
4 0

Answer:

When a Geometrical shape is rotated through certain angle

1. Shape and size will not change, that is the two rectangles will be congruent.

2. Length of sides remain same.

3. Each angle of rectangle after rotation  (image)  will be equal to rectangle before rotation (Pre image).

4. Order of vertices changes.You can say it as if pre image was ABCD , then Image can be DABC or CDBA.

5. Length →breadth, and Breadth → Length.(after one rotation,either clockwise or Anticlockwise),so lengths will change.

6.Similarly sides change after a rotation,because . Length →breadth, and Breadth → Length

The properties of rectangle that will remain same are

1. Angles

2. Shape

3. Size

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Quinzel and Joseph sell shoes. Last month Quinzel sold 18 less pairs
hichkok12 [17]

Answer:

Quinzel sold 17 pairs of shoes last month.

Step-by-step explanation:

Let be "Q" the number of pairs of shoes Quinzel sold last month and "J" the number of pairs of shoes Joseph sold last month.

Set up a system of equations:

\left \{ {{Q=J-18} \atop {Q+J=52} \right.

Solve for "J" from the first equation:

J=Q+18

Applying the Substitution Method, you get:

Q+J=52\\\\Q+(Q+18)=52\\\\2Q=52-18\\\\Q=\frac{34}{2} \\\\Q=17

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3 years ago
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9x - 2y = 11 ... (i)

5x - 2y = 15 ... (ii)

Subtracting equation (ii) from (i) we get;

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4x=-4 , x = -1

Replacing x = -1 in equation (i) we get;

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y = 20 ÷ -2 = -10

The solution to the system of equations is (-1,-10).

8 0
3 years ago
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Umnica [9.8K]

Answer: On the first one its either A or D. (I think)

Step-by-step explanation:

So what I did was I multiplied 22 and 6.32 together and got 139.04 and the closest estimate to that would be 160 because 39 is closer to 60 than 20 (A) and since its not 150 the estimate would be lower than higher. (D)

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Answer:

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Step-by-step explanation:

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Answer:

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