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Veronika [31]
3 years ago
13

Find the measures of the labeled angles.

Mathematics
1 answer:
GREYUIT [131]3 years ago
6 0

Answer:

x + 93 = 124

Step-by-step explanation:

4x = x + 93  {Vertically opposite angles are equal}

Subtract 'x' from both sides

4x - x = 93

3x = 93

Divide both sides by 3

x = 93/3

x = 31

x + 93 = 31+ 93 = 124

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Graph and write solution:<br><br> 2x + 1 = y<br><br> -4x + 6y = -10
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The graph is shown in figure below

The Solution Set is (-2,-3)

Step-by-step explanation:

We need to graph the equations and writ the solution.

For graphing we need to find the values of x and y.

For that, we need to solve the given equations:

2x + 1 = y\\-4x + 6y = -10

Let:

2x + 1 = y\,\,\,eq(1)\\-4x + 6y = -10\,\,\,eq(2)

We can solve this by using Substitution Method.

Putting value of y of eq(1) into eq(2) and finding value of x:

2x + 1 = y\,\,\,eq(1)\\-4x+6(2x+1)=-10\\-4x+12x+6=-10\\8x+6=-10\\8x=-10-6\\8x=-16\\x=-16/8\\x=-2

So, value of x = -2

Now put value of x in eq(1) to find value of y:

2x + 1 = y\\2(-2)+1=y\\-4+1=y\\y=-3

So, value of y = -3

Plotting on graph: x=-2 and y = -3

The graph is shown in figure below

The Solution Set is (-2,-3)

Keywords: graph the equations

Learn more about Graphing Equations at:

  • brainly.com/question/10541435
  • brainly.com/question/3126500
  • brainly.com/question/2334270

#learnwithBrainly

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