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morpeh [17]
3 years ago
9

Parallelogram RSTU is constructed with line AB drawn through its center. If the parallelogram is dilated using a scale factor of

4 and a line is drawn through the center of the new dilated figure, what relationship will the new line have with line AB? Explain your reasoning using complete sentences.
Mathematics
1 answer:
igomit [66]3 years ago
4 0

Answer:

the new line will be 1/4 of the original line.

Step-by-step explanation:

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Answer:

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Smaller number

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Step-by-step explanation:

Larger number: 16

Smaller number: 3

Explanation:

Suppose the larger number is

a

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.

You solve the following system of equations:

a⋅b=48

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Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48

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a2−13a−48=0

Factor the polynomial:

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a=16 or a=−3a is positive so a=16.

We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.

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