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LuckyWell [14K]
3 years ago
8

Please explain the steps to me . i’m genuinely confused

Mathematics
2 answers:
notka56 [123]3 years ago
8 0

Answer:

13) 94°

14) 105°

Step-by-step explanation:

13) For this equation, the angles are vertical angles. This means that they equal each other. So the equation would be: 14x-4= 12x+10.

Step 1- Subtract 12x to both sides.

 14x-4= 12x+10

-12x    -12x

Step 2- Add 4 to both sides.

2x-4= 10

    +4  +4

Step 3- Divide both sides by 2.

<u>2x</u>= <u>14</u>

2    2

x= 7

Now that you know the value of the variable, insert this into the equations.

14(7)-4= 98-4= 94°

12(7)+10= 84+10= 94°

14) For this equation, the angles are alternate exterior angles. This also means that they equal each other. So the equation would be: 16x-7= 15x.

Step 1- Add 7 to both sides.

16x-7= 15x

    +7   +7

Step 2- Subtract 15x to both sides.

16x= 15x+7

-15x  -15x

This leaves you with: x= 7.

Now, insert the value of the variable into the equations.

16(7)-7= 112-7= 105°

15(7)= 105°

uranmaximum [27]3 years ago
5 0

Answer:See below

Step-by-step explanation:

These angles are equal. All that needs to be done is setting the equations as equal and solving for the variables. Once the variables are found, input them back into the equation to find the angles. Once the variables are put into both equations, the result should be equal.

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4 years ago
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8 0
3 years ago
Read 2 more answers
Solve the system of equations
rewona [7]

Answer:

x = 1/4

y = -1/2

z = 9/4

Step-by-step explanation:

Here we have a system of 3 equations with 3 variables:

4*x + 2*y + 1 = 1

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x + 3*y + z = 1

The first step to solve this, is to isolate one of the variables in one of the equations, let's isolate "y" in the second equation:

2*x - y = 1

2*x - 1 = y

Now that we have an expression equivalent to "y", we can replace this in the other two equations:

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Now let's simplify these two equations:

8*x - 1 = 1

7*x - 3 + z = 1

Now, in the first equation we have only the variable x, so we can solve that equation to find the value of x:

8*x - 1 = 1

8*x = 1 + 1 = 2

x = 2/8 = 1/4

Now that we know the value of x, we can replace this in the other equation to find the value of z.

7*(1/4) -3 + z = 1

7/4 - 3 + z = 1

z = 1 + 3 - 7/4

z = 4 - 7/4

z = 16/4 - 7/4 = 9/4

z = 9/4

Now we can use the equation y = 2*x - 1 and the value of x to find the value of y:

y = 2*(1/4) - 1

y = 2/4 - 1

y = 1/2 - 1

y = -1/2

Then the solution is:

x = 1/4

y = -1/2

z = 9/4

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3 years ago
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artcher [175]
1 chair is 79.99
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-3.25 (5 continues forever) ○ -3.2 (2 continues forever) Greater than or less than​
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Answer:

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