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;
[tex]\frac{JK}{NM} = \frac{KL}{ML} = \frac{LJ}{LN}[/tex]
[tex]\frac{40}{16} = \frac{x}{14} = \frac{45}{y}[/tex]
from here, x=35 and y = 18
2)As the triangles are similar, here the ratio is;
[tex]\frac{DE}{HJ} = \frac{EF}{JG} = \frac{FD}{GH}[/tex]
[tex]\frac{9}{15} = \frac{14}{y} = \frac{12}{x}[/tex]
from here, x=20 and y= 23.33
3)As the triangles are similar, here the ratio is;
[tex]\frac{QR}{TU} = \frac{RS}{UV}[/tex]
[tex]\frac{24}{x +5} = \frac{54}{36}
here, x = 11
4)As the triangles are similar, here the ratio is;
[tex]\frac{AB}{AD} = \frac{BC}{DE}[/tex]
[tex]\frac{28}{20} = \frac{2x+3}{15}[/tex]
here, x = 9
5)As the triangles are similar, here the ratio is;
[tex]\frac{NP}{RP} = \frac{MP}{QP}[/tex]
[tex]\frac{x+8}{3x-9} = \frac{24}{28}[/tex],
from here, x = 10
