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miskamm [114]
3 years ago
14

Complete the statements about the shapes in the graph.

Mathematics
1 answer:
TEA [102]3 years ago
4 0

Shape A is congruent to shape  D because a 180° rotation about the origin and then a translation  2 units right maps shape A onto it.

Shape B is congruent to shape  E because a 90° clockwise rotation about the origin and then a translation  1 unit left maps shape B onto it.

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Mr. Timmons wanted to fence in his rectangular back yard so that his son could play soccer. He bought 180 feet of fencing, which
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Answer:

The length of the yard is 60 feet while the width is 30 feet.

Step-by-step explanation:

If the length of Mr. Timmon's backyard is double the width, then the dimensions are related by the following expression:

length = 2*width

We also know the perimetter, since he has the exact length of fence to surround his whole yard, which is 180 feet. The perimeter of a rectangle is given by:

perimeter = 2*length + 2*width

Therefore,

180 = 2*length + 2*width

With the length being double the width, we have:

180 = 2*(2*width) + 2*width

180 = 4*width + 2*width

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width = 180/6 = 30

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Answer:

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