Answer:
1). x = 0
2). Option 3
Step-by-step explanation:
1). If the two triangles are similar,
Their corresponding sides will be proportional.
[tex]\frac{5x+2}{6}=\frac{x+4}{12}[/tex]
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.
