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Rzqust [24]
3 years ago
10

A triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft.

Mathematics
1 answer:
Liula [17]3 years ago
5 0

Answer: x – 1 < n < 3x + 5

Step-by-step explanation:In a triangle sum of any two sides is always greater than the third side.

Now, the sides of the triangle are given to be :

2x + 2, x + 3 , n

Now, first take 2x + 2 and x + 3 as two sides and the side of length n as third side.

By using the property that sum of two sides is always greater than the third side in a triangle.

⇒ 2x + 2 + x + 3 > n

⇒ 3x + 5 > n  ......(1)

Now, take n and x + 3 as two sides and the side of length 2x + 2 as the third side of triangle.

So, by the property, we have :

n + x + 3 > 2x + 2

⇒ n > x - 1 ...........(2)

From both the equations (1) and (2) , We get :

x – 1 < n < 3x + 5

Therefore, The answer is x – 1 < n < 3x + 5

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This graph shows transformations between f(x) = 10x and g(x) = a · 10x. Identify the following functions. p(x) = 4 · 10x q(x) =
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1. line A

2. line D

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Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the original function:

f(x) = 10x

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The graph of this function is stretched vertically => line A

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The graph of this function is stretched vertically and is reflected through the x-asix => line D.

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The graph of this function is compressed vertically => line B

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Hope it will find you well.

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