Question

Please help with these questions please!!!

Answer 1

Answer:

1). x = 0

2). Option 3

Step-by-step explanation:

1). If the two triangles are similar,

   Their corresponding sides will be proportional.

   $\frac{5x+2}{6}=\frac{x+4}{12}$

   12(5x + 2) = 6(x + 4)

   60x + 24 = 6x + 24

   60x - 6x = 24 - 24

   54x = 0

   x = 0

2). Option 1

   2(x - 6) + 3 - 5x = -3x - 9

   2x - 12 + 3 - 5x = -3x - 9

   -3x - 9 = -3x - 9

   True.

   Option 2

   4(2x - 5) + 10 - 5x = 3x - 10

   8x - 20 + 10 - 5x = 3x - 10

   3x - 10 = 3x - 10

   True

   Option 3  

   5x + 4 = 3x + 4

    False

    Option 4

    8x + 3 - 2 = 8x + 1

    8x + 1 = 8x + 1

    True.

Therefore, option 3 is False.