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108° + 80° + 96° + (8x + 4)° = 360°  

{in quadrilateral interior angles that add to 360°}

108° + 80° + 96° + (8x)° + 4° = 360°  

288° + 8°·x = 360°

 8°·x = 72°

   x = 9

(14x + 8)° = (15x + 3)°

{in parallelogram opposite angles are equal}

14°·x + 8° = 15°·x + 3°

8° - 3° = 15°·x - 14°·x

5° = (15 - 14)°·x

5° = 1°·x

x = 5

m∠K = (15x + 3)° = (75 + 3)° = 78°

(8x - 6)° + (19x - 3)° = 180°

{Angles laying at one side of paralleogram are supplementary angles, so they add up to 180°}

8°·x - 6° + 19°·x - 3° = 180°

(8° + 19°)·x = 180° + 6° + 3°

27°·x = 189°

   x = 7

m∠R = m∠T = (19x - 6)° = (19·7 - 6)° = 130°

XE = EZ     and  XZ = XE + EZ

{The diagonals of a parallelogram bisect each other}

2x - 11 = x + 1

2x - x = 1 + 11

 x = 12

XZ = 2x - 11 + x + 1 = 3x - 10 = 3·12 - 10 = 26

DE = CF

{Opposite sides of parallelogram are equal in length}

8x - 1 = 6x + 5

8x - 6x = 5 + 1

 2x = 6

  x = 3

DE = 8x - 1 = 8·3 - 1 = 23

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.