Answer :

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