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crimeas [40]
3 years ago
14

A dilation with a scale factor of 2 is applied to the three line segments shown. The resulting images are P′Q′¯¯¯¯¯¯¯, A′B′¯¯¯¯¯

¯¯, and M′N′¯¯¯¯¯¯¯¯¯.
What are the lengths of the images?
Drag the answer into the box to match each segment.

Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0

Answer:

Step-by-step explanation:

Formula to determine the scale factor,

Scale factor = \frac{\text{Dimension of the image}}{\text{Dimension of the original}}

2 = \frac{P'Q'}{PQ}

2 = \frac{P'Q'}{2}

P'Q' = 4 cm

Similarly, for the length of A'B',

2 = \frac{A'B'}{AB}

2 = \frac{A'B'}{1.5}

A'B' = 3 cm

For the length of M'N',

2 = \frac{M'N'}{MN}

2 = \frac{M'N'}{3}

M'N' = 6 cm

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The information we have is:

5 drops of flavor are needed for 12 ounces of water.

To solve the problem, first we need to find the amount of drops needed per ounce of water, and then multiply that by the number of ounces that we need which is 1280.

The number of drops per ounce:

To find this, divide 5 drops by 12 ounces:

\frac{5}{12}

5/12 drops are needed per ounce.

The number of drops in 1280 ounces:

Now we multiply 5/12 by 1280:

\frac{5}{12}\times1280

And the result is:

\frac{5}{12}\times1280=0.41666\times1280=533.333

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Answer: 533.333 Drops

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1 year ago
Two-variable linear equations 2x – 5y = 20
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3 years ago
Michael has 13 dollars in his wallet. His father gives him his allowance for the week. Now Michael has 18 dollars. How many doll
jek_recluse [69]

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A store finds that the number of shirts sold increases each week. In the first week, only 15 shirts were sold. In the next week,
Pepsi [2]

The explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

In the first week, only 15 shirts were sold. In the next week, 22 shirts were sold and in the third week, 29 shirts were sold.

15, 22, 29,...

The first term a = 15

The common difference d = 22 - 15 = 7

a(n) = 15 + (n - 1)7

a(n) = 7n + 8

Thus, the explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...

Learn more about the sequence here:

brainly.com/question/21961097

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Answer:

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You can choose any digits you wish for x and y but the difference must be 0.7. I chose 1.0 and 0.3.

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