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natta225 [31]
4 years ago
14

Identify a pair of vertical angles in the figure

Mathematics
1 answer:
MArishka [77]4 years ago
3 0

Answer:

1) ∠ADB and ∠EDC

2)∠ADE and ∠BDC

Step-by-step explanation:

Definition of vertical angles: Each of the pairs of opposite angles made by two intersecting lines are known as vertical angles.

So, in the given figure there are two intersecting lines named as AC and EB

So, the pair of vertical angles are :

1) ∠ADB and ∠EDC

2)∠ADE and ∠BDC

Thus these are the pairs of vertical angles in the given figure .

Hence  a pair of vertical angles in the figure are :

1) ∠ADB and ∠EDC

2)∠ADE and ∠BDC

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The correct justification for the first step in solving the provided equation is that the first step should be distributive Property

<h3>What is the property of equality?</h3>

Property of equality says that by performing any mathematical operation, of both sides of a expression does not change the original value of the equation.

The equation given in the problem is,

3(x - 4) + 1 = 12x

To solve the above equation, we need to open the brackets of the equation. To do this, we need to use the distributive property of the equality.

This can be done by multiplying the number 3 inside the bracket (x-4). This operation simplify the equation, to solve it further. Therefore,

3x - 3\times4 + 1 = 12x\\3x - 12 + 1 = 12x

Hence, the correct justification for the first step in solving the provided equation is that the first step should be distributive Property.

Learn more about the property of equality here;

brainly.com/question/1601404

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How many solutions does the equation have??<br> 3(d+11)=6(d+33) PLEASE HELP MEEEEEEE
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A powerful way to find out is to solve the equation.  Let's try that.

                         3 (d + 11)  =  6 (d + 33)

Eliminate the parentheses:    3d + 33  =  6d + 198

Subtract  3d  from each side:       33  =  3d + 198

Subtract  198  from each side:     -165 = 3d

Divide each side by  3 :               - 55 = d

There it is ... the solution to the original equation. 
'd' has to be -55, otherwise the original equation isn't a true statement.
-55 is the ONLY number that 'd' can be.  If you write in any other number
for 'd', the equation will be false.

For example, less see what the equation says when  d=2 :

                       3(2 + 11)  =  6(2 + 33)

                       3(  13  )  =  6(  35  )

                           39      =     210


Is that a true statement ?  Is 39 equal to 210 ? 
No.  39 and 210 are not equal.  They are different.
So the equation is not true when d = 2 .
The equation is true ONLY when  d = -55 .

The equation has exactly one solution.
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