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Naily [24]
3 years ago
11

Which simplified ratio correctly compares 30 inches to 2 feet?

Mathematics
1 answer:
Serggg [28]3 years ago
4 0

Answer:

5:4

Step-by-step explanation:

There are 12 inches in one foot, so there are 24 inches in 2 feet.

Therefore, the ratio that compares 30 inches to 2 feet is the ratio that compares 30 inches to 24 inches.

This is

30\ :\ 24

Simplify it:

30\ :\ 24=\dfrac{30}{24}=\dfrac{6\times 5}{6\times 4}=\dfrac{5}{4}=5\ :\ 4

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Quadrilateral ABCD is dilated by a scale factor of 1 over 2 centered around (2, 2). Which statement is true about the dilation?
Musya8 [376]

Answer:

Option (1)

1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.

Step-by-step explanation:

The rest of the question is the attached figure (1).

The statement options are:

1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.

2) Segment B'D' will run through (2, 2) and will be longer than segment BD.

3) Segment B'D' will parallel to segment BD and will be shorter than segment BD.

4) Segment B'D' will be parallel to segment BD and will be longer than segment BD.

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

See the attched figure (2), which represents Quadrilateral ABCD and the image A'B'C'D'

As shown:

The quadrilateral ABCD with vertices A(1,2), B(2,3), C(4,2) and D(2,1).

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So,

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A'= (1.5,2), B'= (2,2.5), C'= (3,2), D'= (2,1.5)

Comparing the options with the figure (2):

So, the answer is option (1)

1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.

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Step-by-step explanation:

what I got on calculator

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