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saw5 [17]
2 years ago
9

A parallelogram in a coordinate plane is reflected over the line y=5 and translated 2 units left and 1 unit down.

Mathematics
1 answer:
guajiro [1.7K]2 years ago
6 0

Answer: The resulting parallelogram is congruent to the original parallelogram regardless of the order of the transformations.

Step-by-step explanation:

A reflection and a translation are both rigid motions, meaning both transformations preserve congruency.

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Algebraic expression for the word phrase. 6 more than the difference of W and 3.
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Answer and Step-by-step explanation:

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3 years ago
Allison’s cupcake and cookie budget for her party is $105. She would like to have at least 40 cupcakes and cookies combined, and
FinnZ [79.3K]

Answer:

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105

Step-by-step explanation:

We are told she would like to have at least 40 cupcakes and cookies combined.

If a is number of cupcakes and b is number of cookies, then this inequality is;

a + b ≥ 40

Secondly, we are told she would like to have at most 5 more cupcakes than cookies.

Thus, the inequality is;

a + 5 ≤ b

Lastly, we are told that cupcakes sell for $2.50 and cookies for $1.50

Thus, the inequality is;

2.50a + 1.50b ≤ 105

Finally, the 3 inequalities are;

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105

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