40°
3X + 14
Please help me

x=42

Step-by-step explanation:

40+3x+14=180

-40 on both sides

3x+14=140

-14 on both sides

3x=126

divide 3 on both sides

x=42

3x+14+40=180[being supplementary]

3x=180-54

x=126/3

x=42 is a required answer.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

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