CeniyahU158932 CeniyahU158932
  • 26-10-2022
  • Mathematics
contestada

can someone please help me find the value of x?

can someone please help me find the value of x class=

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ArjunX82677 ArjunX82677
  • 26-10-2022

The transver cut by the parallel lines are proportional

The value of x can be determined as,

[tex]\begin{gathered} \frac{AB}{BC}=\frac{DE}{EF} \\ \frac{3}{5}=\frac{5+x}{24-(5+x)} \\ 3(19-x)=5(5+x) \\ 57-3x=25+5x \\ 32=8x \\ x=4 \end{gathered}[/tex]

Thus, the required value of x is 4.

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