ellsworthcody81 ellsworthcody81
  • 08-06-2021
  • Mathematics
contestada

18/30
G
35 m
Find the value of x:
H
18 m
30 m

1830 G 35 m Find the value of x H 18 m 30 m class=

Respuesta :

ankit1990
ankit1990 ankit1990
  • 08-06-2021

Answer:

21 is the answer

Step-by-step explanation:

from the figure it can be seen that

angle G = angle J

angle H = angle K and

angle I = angle L

thus triangle GHI is similar to triangle JKL and in 2 similar triangles the ratio of their corresponding sides is same. that means

[tex] \frac{hi}{kl} = \frac{gi}{jl} \\ \frac{18}{30} = \frac{x}{35} \\ x = \frac{18}{30} \times 35 \\ x = \frac{3}{5} \times 35 \\ x = 3 \times 7 \\ x = 21[/tex]

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