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Svetlanka [38]
4 years ago
7

Help please I don't understand​

Mathematics
1 answer:
Darina [25.2K]4 years ago
6 0

Answer:

  • x = 8
  • AM = 64 cm
  • BM = 64 cm
  • M is the midpoint

Step-by-step explanation:

<u>Part A</u>. The total length of a line segment is the sum of the lengths of its parts.

  AM +MB = AB

Substituting the given information, this equation becomes ...

  (7x +8) cm + (9x -8) cm = 128 cm

  16x = 128 . . . . . . . . . collect terms, divide by cm

  x = 128/16 . . . . . divide by the coefficient of x

  x = 8

__

<u>Part B</u>. Then the length of AM is ...

  AM = (7x +8) cm = (7(8) +8) cm = (56 +8) cm

  AM = 64 cm

__

<u>Part C</u>. The length of BM is ...

  BM = (9x -8) cm = (9(8) -8) cm = (72 -8) cm

  BM = 64 cm

__

<u>Part D</u>. AM = BM = 64 cm, so point M is the midpoint of AB. Point M divides the segment into two equal parts.

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