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sammy [17]
2 years ago
14

In a dilation, what is preserved and what is altered?

Mathematics
1 answer:
fgiga [73]2 years ago
5 0

Answer:

A dilation preserves angle measures.

A dilation alters the length of line segments by the same proportion.

Step-by-step explanation:

A dilatation is a transformation that alters a figure's size while maintaining its shape and orientation. Each linear measure of the figure, such as a side length, is multiplied by the scale factor of a dilatation. A dilation is a transformation where all line segments' lengths are altered uniformly. While a dilatation can alter a figure's size, it cannot alter a figure's form. Dilations are not isometries as the figure's size changes.

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Answer:

1 < x ≤ 2

Step-by-step explanation:

A graph's slope equals zero when there is a change in the x-value, but there's no change in the y-value.

Here, we can see in the piecewise function that between 1 (not included) and 2 (included), the slope of the graph is 0.

Therefore, 1 < x ≤ 2 is correct

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There is 7/8 quarts of orange juice. Mrs. Mathewson would like to serve her guests 3/16 quarts orange juice. How many guests can
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4\frac{2}{3} guests.

Step-by-step explanation:

We have been given that there are 7/8 quarts of orange juice. Mrs. Mathewson would like to serve her guests 3/16 quarts orange juice.

To find the number of guests Mrs. Mathewson can serve with 7/8 quarts of juice, we will divide 7/8 by 3/16 as:

\text{Number of guests Mrs. Mathewson can serve}=\frac{7}{8}\div\frac{3}{16}

Convert to multiplication problem by flipping the 2nd fraction:

\text{Number of guests Mrs. Mathewson can serve}=\frac{7}{8}\times\frac{16}{3}

\text{Number of guests Mrs. Mathewson can serve}=\frac{7}{1}\times\frac{2}{3}

\text{Number of guests Mrs. Mathewson can serve}=\frac{14}{3}

\text{Number of guests Mrs. Mathewson can serve}=4\frac{2}{3}

Therefore, Mrs. Mathewson can serve orange juice to 4\frac{2}{3} guests.

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