Respuesta :

mhanifa

Answer:

  • (3) ST = 24
  • (4) ST = 26

Step-by-step explanation:

#3

  • ST = SM + MT
  • SM = MT (as marked)

Substitute and solve for x:

  • x + 12 = 8x - 2
  • 8x - x = 12 + 2
  • 7x = 14
  • x = 2

Find SM:

  • Sm = 2 + 12 = 14

Find ST:

  • ST = 2*14 = 28

#4

Same as above.

  • SM = MT
  • 2x + 3 = 4x - 7
  • 4x - 2x = 3 + 7
  • 2x = 10
  • x = 5

Find ST:

  • ST = 2*(2*5 + 3) = 26
VirαtKσhli

Given :-

  • A line ST which is divided into two equal parts , i.e. SM and MT .

To Find :-

  • The value of ST .

Answer :-

According to the question ,

  • SM = MT
  • x + 12 = 8x - 2
  • x - 8x = -2-12
  • -7x = -14
  • x = 2

Hence ,

  • ST = SM + MT
  • ST = x + 12 + 8x - 2
  • ST = 9x +10
  • ST = 9*2+10
  • ST = 28

Similarly ,

  • SM = MT
  • 2x + 3 = 4x - 7
  • 2x - 4x = -7-3
  • -2x = -10
  • x = 5

Hence ,

  • ST = SM + MT
  • ST = 2x + 3 + 4x -7
  • ST = 6x -4
  • ST = 6*5 -4
  • ST = 30 -4
  • ST = 26

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