ShariF301361 ShariF301361
  • 03-11-2022
  • Mathematics
contestada

May I please get help with this. I still can’t find the answers to them

May I please get help with this I still cant find the answers to them class=

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CillianI25920 CillianI25920
  • 03-11-2022

Since the figures are similar, we can write the following proportion between corresponding sides:

[tex]\frac{AE}{PT}=\frac{DC}{SR}[/tex]

Now, using the lengths of each side, we have:

[tex]\frac{2}{4}=\frac{5}{x}[/tex]

Solving for x:

[tex]\begin{gathered} 2\cdot x=4\cdot5 \\ 2x=20 \\ x=\frac{20}{2} \\ x=10 \end{gathered}[/tex]

Therefore the value of x is 10.

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