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ohaa [14]
1 year ago
6

4. If mZDEF = 3x +1 and mZDEG = 5x +19, find the value of x.The image attached isn't the right interpretation of the question.

Mathematics
1 answer:
cestrela7 [59]1 year ago
4 0

Answer

x = 17

Step-by-step Explanation

The question gives us Angle DEF as (3x + 1) and Angle DEG as (5x + 19).

Note that G is the lower end of the diagram.

What isn't evident from the diagram is that Line EF is a bisector for the DEG.

If Line EF is the bisector, this means that it divides the angle into two equal parts.

(Angle DEG) = (Angle DEF) + (Angle FEG)

Angle DEG = (5x + 19)

Angle DEF = (3x + 1)

Angle FEG = Angle DEF (Since we already established that line EF being a bisector means it divides Angle DEG into two equal parts)

So,

Angle FEG = Angle DEF = (3x + 1)

(Angle DEG) = (Angle DEF) + (Angle FEG)

Substituting the parameters

(5x + 19) = (3x + 1) + (3x + 1)

5x + 19 = 3x + 3x + 1 + 1

5x + 19 = 6x + 2

Collecting like terms by bringing all the coefficients of x to the same side

6x + 2 = 5x + 19

6x - 5x = 19 - 2

x = 17

Hope this Helps!!!

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Guys, please help me with this problem.
SashulF [63]
<h2>Answer:</h2>

The number is -2.

<h2>Step-by-step explanation:</h2><h3>Written out, our equation looks like this:</h3><h3>(-5·x)+2=12</h3>

We'll start of by taking our final result of 12 and subtracting 2, as the beginning of the statement says "two more."

<h3>12 minus 2 gives us 10.</h3>

Now, since the statement says "the product of -5," we will take this 10 and divide by -5.

<h3>10 divided by -5 gives us -2.</h3>

This means that our number, x equals -2. Of course, we must input this solution to double check our work.

<h3>(-5·<u>-2</u>)+2=12</h3><h3>10+2=12</h3><h3>12=12</h3>

<h2>Our final answer is x=-2!</h2>
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3 years ago
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FromTheMoon [43]

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Step-by-step explanation: See Annex

Green Theorem establishes:

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M = 2x  + cosy²           δM/dy  =  1

N = y + e√x                 δN/dx  =  2

δN/dx  -  δM/dy  =  2  -  1   = 1

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Now integration limits  ( see Annex)

dy  is from   x  = y²    then     y = √x    to  y = x²   and for dx

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5 0
2 years ago
Jess will plant up to 27 acres on her farm with wheat and corn. More than 5 acres will be planted with wheat.
Lena [83]
The first thing we do in these cases is to define the variables.
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