Respuesta :

Answer:

  • 6 < x < 30

Step-by-step explanation:

The top and bottom triangles have two congruent sides with different included angles.

  • AB = AD and AC is common side.

The greater angle has greater opposite side.

  • The ∠BAC is greater than the ∠DAC as opposite side of the first (22) is greater than the opposite side of the second (16).

The ∠DAC must be greater than zero but smaller than 48°.

Required inequality is:

  • 0 < 2x - 12 < 48
  • 12 < 2x < 60
  • 6 < x < 30

So x has a value between 6 and 30

Answer: 6 < x < 30

Step-by-step explanation:

0 < 2x - 12 < 48

12 < 2x < 60

6 < x < 30

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