Answer:
x = 36
Step-by-step explanation:
Given the triangles are similar, then the ratios of corresponding sides are in proportion
x and 9 are corresponding sides
24 and 6 are corresponding sides , then
[tex]\frac{x}{9}[/tex] = [tex]\frac{24}{6}[/tex] = 4 ( multiply both sides by 9 )
x = 4 × 9 = 36