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3 years ago

What properties of a figure stay the same after a reflection? *

Mathematics

1 answer:

devlian [24]3 years ago

7 0

Answer:

1. The preimage and image are congruent

2. Any line segment connecting the corresponding points between the preimage and image is bisected by the line of reflection

3. Corresponding angles on the preimage and image are congruent

4. Corresponding points of the preimage and image are equidistant from the line of reflection.

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The perimeter of a rectangle is 202. The length is 26 more than 4 times the width. Find the dimensions

jek_recluse [69]

Answer:

$P = 2*(26+4y) + 4y$

And if we solve for y we got:

$202= 52 +8y +4y$

$202= 52 +12 y$

And replacing we got:

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And we got:

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So then the length would be 76 and the width we got 12.5

Step-by-step explanation:

For this case we have a rectangle. The perimeter is given by:

$P= 2x+2y$

Where x represent the length and y the the width. We can set the following conditions:

$x = 26 +4y$

And if we replace the conditions we got:

$P = 2*(26+4y) + 4y$

And if we solve for y we got:

$202= 52 +8y +4y$

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And replacing we got:

$150 = 12y$

And we got:

$y = \frac{150}{12}= 12.5$

And for x we got:

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4 years ago

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Wholesale price = x(1 - 0.55)
= 0.45x
The wholesale price is 0.45 times the retail price.

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3 years ago

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