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shepuryov [24]
3 years ago
13

Triangle DEF was dilated according to the rule DO,(x,y) to create similar triangle D'E'F'.

Mathematics
2 answers:
lord [1]3 years ago
5 0
A dilation is a transformation, with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'. The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.

Thus, a dilation with centre O and a scale factor of \frac{1}{3} maps the original figure to the image in such a way that the distances from O to the vertices of the image are \frac{1}{3} times the distances from O to the original figure. Also the size of the image are <span>\frac{1}{3} times the size of the original figure. Also the two resulting figures (i.e. the image and the pre-image are congruent)

Thus in the dilation of triangle DEF, the following are true.</span>
<span>∠F corresponds to ∠F'.

The measure of ∠E' is the measure of ∠E.

△DEF ≈ △D'E'F'</span>
Diano4ka-milaya [45]3 years ago
3 0

Answer:

<em><u>∠F corresponds to ∠F'. </u></em>

<em><u> The distance from point D' to the origin is the distance of point D to the origin. </u></em>

<em><u> △DEF △D'E'F'</u></em>

Step-by-step explanation:

I JUST TOOK THE QUIZ!!!!

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A person wants to grow potatoes in his backyard. His backyard plot is 60ft by 60 ft and he can plant 2 potatoes for every square
Fantom [35]

Answer:

1800 potatoes

Step-by-step explanation:

60ft x 60ft = 3600 square feet

3600/2=1800

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Vesna [10]
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nordsb [41]

Answer:

-27.5

Step-by-step explanation:

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3 years ago
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zysi [14]
<h3>Answer: Choice C) 421.9</h3>

=======================================

Explanation:

You're on the right track. You wrote down the proper expression to get the final answer, assuming you meant to write 75/4 as the third term inside the parenthesis. This works because each time you cut the side length in half to get each smaller triangle's side. The 3 is because there are 3 sides for each of the triangles. Much of this I have a feeling you already know as you wrote down the expression on the page, though I'm not 100% sure of your mindset. Computing this expression leads to 421.875 which rounds to 421.9

note: an alternative is to write 3*75 + 3*75/2 + 3*75/4 + 3*75/8, though that is more work. It's better to have that 3 factored out.

8 0
3 years ago
What are the coordinates of the vertex of y=x²+4x+3?​
Travka [436]

Answer:

(-2, -1).

Step-by-step explanation:

y = x² + 4x + 3

Completing the square:

y = (x + 4/2)^2 - (4/2)^2 + 3

y = (x + 2)^2 - 4 + 3

y = (x + 2)^2 - 1.

This is vertex form and the coordinates of the vertex are (-2, -1).

4 0
3 years ago
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