Answer:
x = 11
Step-by-step explanation:
Given the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{3x+3}{x+7}[/tex] = [tex]\frac{38}{19}[/tex] = 2 ( multiply both sides by x + 7 )
3x + 3 = 2(x + 7)
3x + 3 = 2x + 14 ( subtract 2x from both sides )
x + 3 = 14 ( subtract 3 from both sides )
x = 11
