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sergeinik [125]
2 years ago
15

Help me please i’m struggling, u don’t have to explain

Mathematics
1 answer:
Rom4ik [11]2 years ago
7 0
<h3>Answer:  10 cm  (choice A)</h3>

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

Explanation:

One equation we could solve is

x/2.5 = 30/7.5

Note the x/2.5 has us dividing the vertical sides, while 30/7.5 is the same idea for the horizontal sides. The order is large over small. You could do small over large, but make sure you keep both sides consistent.

Solving for x leads to...

x/2.5 = 30/7.5

x*7.5 = 2.5*30

7.5x = 75

x = 75/7.5

x = 10  (choice A)

There are many other possible equations that lead to the same answer. One other possible equation is x/30 = 2.5/7.5

These proportions are possible due to the fact we have similar triangles.

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The answer to the question is C.
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2 years ago
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Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D
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Answer:

Second option: On a coordinate plane, rectangle A'B'C'D' prime has points (-4,4),(12,4),(12,-4),(-4,-4)

(See the graph attached)

Step-by-step explanation:

For this exercise it is importnat to know that a Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) has the same shape as the Pre-Image (which is the original figure before the transformation), but they have different sizes.

In this case, you know that the vertices of the rectangle ABCD ( The Pre-Image)  are the following:

A(-1,1)\\\\B(3,1)\\\\C(3,-1)\\\\D(-1,-1)

Therefore, to find the vertices of the rectangle A'B'C'D' (The Image)  that results of dilating the rectangle ABCD by a factor of 4 about the origin, you need to multiply the coordinates of each original vertex by 4. Then, you get:

A'=((-1)(4),(1)(4))=(-4,4)\\\\B'=((3)(4),(1)(4))=(12,4)\\\\C'=((3)(4),(-1)(4))=(12,-4)\\\\D'=((-1)(4),(-1)(4))=(-4,-4)

Finally, knowing those points, you can identify that the graph that shows the result of that Dilation, is the one attached.

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Answer:

5/4in

Step-by-step explanation:

The initial length:

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= 96 in

The final length:

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The final length:

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Answer:

C = 75.

Step-by-step explanation:

Set up our eq:

600 x

___ = ___

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Answer:

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