noobyskullyroopie noobyskullyroopie
  • 01-06-2022
  • Mathematics
contestada

What is the length of segment R S?

What is the length of segment R S class=

Respuesta :

jimrgrant1 jimrgrant1
  • 01-06-2022

Answer:

C

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{RS}{FG}[/tex] = [tex]\frac{ST}{GH}[/tex] ( substitute values )

[tex]\frac{RS}{21}[/tex] = [tex]\frac{4}{12}[/tex] ( cross- multiply )

12 RS = 84 ( divide both sides by 12 )

RS = 7 cm

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