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GaryK [48]
3 years ago
13

NEED ANSWERS ASAP The two triangles are similar. What is the value of x?

Mathematics
1 answer:
Alexus [3.1K]3 years ago
4 0
If the two triangles are similar, then by definition we have that the quotient between two sides of a triangle is equal to the quotient between two sides of the second triangle.
 We have then:
 ((3x) / (4x + 2)) = ((20) / (28))
 Clearing:
 3x = (20/28) * (4x + 2)
 28 * 3x = (20) * (4x + 2)
 84x = 80x + 40
 84x-80x = 40
 4x = 40
 x = (40) / (4)
 x = 10
 answer
 The value of x is 10
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A music player was marked down by 1/4 of the original price.
pentagon [3]

Answer:

A ) The Original price of music player before it was marked down by  \dfrac{1}{4}  is $512

B ) The price that store paid for player is $256

C ) The difference between discount price and price paid by store is $128

Step-by-step explanation:

Given as :

A ) The sale price of music player = $128

The music player is marked down by \dfrac{1}{4} of original price

Let The original price = $x

Now, According to question

\dfrac{1}{4} of original price = $128

i.e \dfrac{1}{4} × $x = $128

Or, x = 128 × 4

∴ x = $512

So, The Original price of music player before it was marked down by  \dfrac{1}{4}  is $512

B ) The music player is marked up by \dfrac{1}{2} before it was placed on sales floor .

Let The price that store paid for player = $y

Now, According to question

∵ The original price of player = $512

So, The price that store paid for player = \dfrac{1}{2}  × original price of player

i.e y =  \dfrac{1}{2}  × $512

Or , y = $256

So,The price that store paid for player = $256

C ) Let The difference between discount price and price paid by store = $z

So, According to question

z = y - discount price

Or , z = $256 - $128

∴  z = $128

So, The difference = $128

Hence, A ) The Original price of music player before it was marked down by  \dfrac{1}{4}  is $512

B ) The price that store paid for player is $256

C ) The difference between discount price and price paid by store is $128

Answer

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(C.) 4.012


4.021 is greater than 4.012

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Answer: See step by step

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