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horrorfan [7]
3 years ago
8

A customer at a clothing store is buying a pair of pants and a shirt. The store is having a 15​%-off sale on all pants. The cust

omer has a coupon for 10​% off her entire purchase. The coupon cannot be combined with any other​ offers, so she can choose only one option. Let n represent the original price of the pants and s represent the price of the shirt. Write two equivalent expressions for each option. If the original cost of the pants is ​$25 and the shirt is ​$12​, which option should the customer​ choose?
Mathematics
1 answer:
raketka [301]3 years ago
5 0

Answer:

Shirt.

Step-by-step explanation:

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x = 4 and EF = 4 ⇒ 3rd answer

Step-by-step explanation:

If two triangles are congruent, then

1. Their corresponding sides are equal

2. Their corresponding angles are equal

3. Their areas and perimeters are equal

∵ △ ABC ≅ △ DEF

∴ AB ≅ DE

∴ BC ≅ EF

∴ AC ≅ DF

∵ BC = 4 x - 12

∵ EF = -3 x + 16

∵ BC = EF

∴ 4 x - 12 = -3 x + 16

Let us solve the equation to find x

∵ 4 x - 12 = -3 x + 16

- Add 3 x for both sides

∴ 7 x - 12 = 16

- Add 12 to both sides

∴ 7 x = 28

- Divide both sides by 7

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Substitute the value of x in the expression of EF

∵ EF = -3 x + 16

∵ x = 4

∴ EF = -3(4) + 16 = -12 + 16

∴ EF = 4

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Learn more:

You can learn more about congruence of Δs in brainly.com/question/3202836

#LearnwithBrainly

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Which expression is equivalent to 2(x -1)+x
olchik [2.2K]

\huge\text{Hey there!}

\huge\textbf{Question reads....}

\large\text{Which expression is equivalent to 2(x - 1) + x?}

\huge\textbf{Step by step to find your result}

\large\textbf{First you have to DISTRIBUTE 2 WITHIN the}\\\large\textbf{PARENTHESES}

\large\text{2(x - 1) + x}\\\rightarrow\large\text{2(x) + 2(-1) + x}\\\rightarrow\large\text{2x - 2 + x}\\\rightarrow\large\text{2x - 2 + 1x}\\\rightarrow\large\textbf{COMBINE the LIKE TERMS}\leftarrow\\\rightarrow\large\text{(2x + 1x) - (2)}\\\rightarrow\large\text{3x - 2}

\huge\textbf{FINALLY WE HAVE YOUR RESULT}

\huge\boxed{\textsf{Therefore, your answer is: }}}\\\huge\boxed{\mathsf{Option\ B. \ 3x - 2}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy }\\\huge\text{your day!}

<h2>~\frak{Amphitrite1040:)}</h2>
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