revlonknox6
revlonknox6 revlonknox6
  • 20-01-2020
  • Mathematics
contestada

Can someone please help me with this?

Can someone please help me with this class=

Respuesta :

frika
frika frika
  • 27-01-2020

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

Similar shapes have proportional corresponding sides. So,

[tex]\dfrac{AB}{PQ}=\dfrac{BC}{QR}=\dfrac{CD}{RS}=\dfrac{DE}{ST}=\dfrac{EA}{TP}[/tex]

Substitute all lengths:

[tex]\dfrac{4}{28}=\dfrac{3}{21}=\dfrac{5}{35}=\dfrac{3}{21}=\dfrac{2}{x}[/tex]

Therefore,

[tex]\dfrac{2}{x}=\dfrac{1}{7}\\ \\x=14[/tex]

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