Respuesta :

Answer:

Line Segment AB = -9.5

Line Segment CD = 2

Line Segment GE = 6.5

fichoh

The midpoint of the segments using the number line are :

  • AB = - 9.5
  • CD = 2
  • AE = -1
  • GE = 6.5

Recall the midpoint, M formula ;

M = (x1 + x2) ÷ 2

For the segments ;

  • Segment AB ;

A = -12 ; B = - 7

M = (A + B) / 2

M = (-12 + (-7)) / 2

M = (-12 - 7) / 2

M = - 19 / 2

M = - 9.5

  • Segment CD;

C = -2 ; D = 6

M = (-2 + 6) / 2

M = (-2 + 6) / 2

M = 4 / 2

M = 2

  • Segment AE ;

A = -12 ; E = 10

M = (-12 + 10) / 2

M = - 2 / 2

M = - 1

  • Segment GE ;

G = 3 ; E = 10

M = (3 + 10) / 2

M = 13 / 2

M = 6.5

HENCE, THE midpoint of the segments AB, CD, AE and GE are - 9.5, 2, - 1 and 6.5 respectively .

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