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CaHeK987 [17]
3 years ago
9

What is the value of X?

Mathematics
2 answers:
andrezito [222]3 years ago
6 0

Solution:

<u>Note that:</u>

  • 3x + 50 = 6x - 10 (Vertically opposite angles)

Simplify the equation to find x.

<u>Add 10 both sides.</u>

  • 3x + 50 = 6x - 10
  • => 3x + 50 + 10 = 6x - 10 + 10
  • => 3x + 60 = 6x

<u>Subtract 3x both sides.</u>

  • 3x + 60 = 6x
  • => 3x - 3x + 60 = 6x - 3x
  • => 60 = 3x

<u>Divide 3 both sides.</u>

  • 60 = 3x
  • => 60/3 = 3x/3
  • => x = 20
Natali [406]3 years ago
4 0

Answer:

<h2><u><em>x = 20</em></u></h2>

Step-by-step explanation:

opposite angles = equal angles

we solve with a proportion

3x + 50 = 6x - 10

50 + 10 = 6x - 3x

60 = 3x

x = 60 : 3

x = 20

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Which equation represents a proportional relationship? A. y = x + 1 3 y=x+13 B. y = 1 − 1 3 x y=1-13x C. y = 3 x + 1 3 y=3x+13 D
34kurt

Answer:

Option D. y=\frac{1}{3}x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

case A) we have

y=x+\frac{1}{3}

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

y=0+\frac{1}{3}=\frac{1}{3}

so

The line not passes through the origin

therefore

The equation A not represent a proportional relationship

case B) we have

y=1-\frac{1}{3}x

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

y=1-\frac{1}{3}(0)=1

so

The line not passes through the origin

therefore

The equation B not represent a proportional relationship

case C) we have

y=3x+\frac{1}{3}

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

y=3(0)+\frac{1}{3}=\frac{1}{3}

so

The line not passes through the origin

therefore

The equation C not represent a proportional relationship

case D) we have

y=\frac{1}{3}x

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

y=\frac{1}{3}(0)=0

so

The line passes through the origin

therefore

The equation D represent a proportional relationship

3 0
3 years ago
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Paladinen [302]
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Answer:

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Step-by-step explanation:

0.3% = 0.003

1-0.003 = 0.997

49/6 = 8 r1 (use 8 because decay is not continuous)

0.997^8 = 0.97625...

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8 0
3 years ago
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Hope this helps!
3 0
3 years ago
Read 2 more answers
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