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Darina [25.2K]
3 years ago
14

The perimeters of the triangles shown below are equal

Mathematics
2 answers:
natulia [17]3 years ago
8 0

Answer:

x=19

Step-by-step explanation:

The perimeter of a shape is the sum of all of its side lengths. Therefore, the perimeter of the first triangle is x-7+x-7+x-7=3x-21 and the perimeter of the second triangle is 9+15+12=36.

We are given that the perimeters of the triangles are equal, so 3x-21 equals 36. As an equation, that would be 3x-21=36. Solving for x, we get:

3x-21=36

3x=57 (Add 21 to both sides of the equation to isolate x)

x=19 (Divide both sides of the equation by 3 to get rid of x's coefficient)

Hope this helps!

Naya [18.7K]3 years ago
6 0

Answer:

x=19

Step-by-step explanation:

The perimeter of the right triangle is

P=9+12+15 =36

The perimeter of the left triangle is

P =x-7+ x-7+ x-7 = 3x-21

Set them equal

36 = 3x-21

Add 21 to each side

36+21 = 3x-21+21

57 = 3x

Divide each side by 3

57/3 = 3x/3

19 =x

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Answer:

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

Step-by-step explanation:

Due to the assumption of a yearly average rate, a linear function model shall be used. The expected amount of jobs (n) after a certain amount of years (t) is given by the following formula:

n = n_{o} + \frac{\Delta n}{\Delta t}\cdot t

Where:

n_{o} - Initial amount of jobs in pipe fitting industry, measured in thousands.

\frac{\Delta n}{\Delta t} - Average yearly rate, measured in thousands per year. (A decline is indicated by a negative sign)

If n_{o} = 546.5, t = 2025-2015 = 10\,years and \frac{\Delta n}{\Delta t} = -3\,\frac{1}{years}, then:

n = 546.5+\left(-3\,\frac{1}{year}\right)\cdot (10\,years)

n = 516.5

The percent change in jobs from pipe fitting industry is calculated as follows:

\%n = \left(1-\frac{n}{n_{o}}\right)\times 100\,\%

\% n = \left(1-\frac{516.5}{546.5}\right)\times 100\,\%

\%n = 5.5\,\%

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

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3 years ago
A is (-2,-5) A’is a glide relection where the translation is (x,y) Is(x+7,y) the line of reflection is y=2 What are the coordina
erma4kov [3.2K]

Answer: A' (5,9)


Step-by-step explanation:

1. You have that the translation is (x,y)⇒(x+7,y) and the coordinates of A is (-2,5). Then:

A(-2+7,-5)⇒A(5,-5)

2. As you can see, -5 is 7 units below of the line of reflection y=2, therefore, you can know the coordinates of A' as following:

A'(5,7+2)\\A'(5,9)

3. Then, the coordinates of A' is (5,9)


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Answer:

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9 is a constant

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3 years ago
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Step-by-step explanation:

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