Why similar? Cuz the angles of two triangles are the same
x = 15
Step-by-step explanation:
Why similar?
Because the angles of the two triangles are the same
Find the value of x :
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{12}{18} = \frac{x}{7.5 + x} \\ \: \: \: \: \: \: \: \: \: \: \: \: 18x = 12(7.5 + x) \\ \: \: \: \: \: \: \: \: \: \: \: \: 18x = 90 + 12x \\ 18x - 12x = 90 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: 6x = 90 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{90}{6} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 15[/tex]
So, the value of x is 15
Hope it helpful and useful
