Answer:
1) x= 35 , y = 18
2) x = 20 , y = 23.33
3) x = 11
4) x = 9
5) x = 10
Step-by-step explanation:
1)As the triangles are similar, here the ratio is as;


from here, x=35 and y = 18
2)As the triangles are similar, here the ratio is;


from here, x=20 and y= 23.33
3)As the triangles are similar, here the ratio is;

![\frac{24}{x +5} = \frac{54}{36} here, x = 114)As the triangles are similar, here the ratio is; [tex]\frac{AB}{AD} = \frac{BC}{DE}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7Bx%20%2B5%7D%20%3D%20%5Cfrac%7B54%7D%7B36%7D%20%3C%2Fp%3E%3Cp%3Ehere%2C%20x%20%3D%2011%3C%2Fp%3E%3Cp%3E4%29As%20the%20triangles%20are%20similar%2C%20here%20the%20ratio%20is%3B%3C%2Fp%3E%3Cp%3E%20%20%20%20%3Cstrong%3E%5Btex%5D%5Cfrac%7BAB%7D%7BAD%7D%20%3D%20%5Cfrac%7BBC%7D%7BDE%7D)

here, x = 9
5)As the triangles are similar, here the ratio is;

,
from here, x = 10