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7. Given the figure, find the desired measurements

  m∠F = 66°

  m∠D = 57°

Step-by-step explanation:

It looks like you have ...

  ∠D = ∠E = (4x +1)°

  ∠F = (5x -4)°

The sum of the angles in the triangle is 180°, so we have ...

  2(4x +1) +(5x -4) = 180

  13x -2 = 180

  x = 182/13 = 14

Then the angle measures are ...

  ∠D = ∠E = (4(14) +1)° = 57°

  ∠F = (5(14) -4)° = 66°

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m∠F = 66°

m∠D = 57°

IV: colour of the room

DV: The number of minutes each group spends studying

Step-by-step explanation:

IV(Independent Variable) : is what is changed in the experiment and the colour of the room is being changed.

DV(Dependent Variable) : is what is measured in the experiment and the number of minutes in spent on studying is measured.