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san4es73 [151]
3 years ago
7

Can someone please help me with this?

Mathematics
1 answer:
Arada [10]3 years ago
4 0

Answer:

x=14

Step-by-step explanation:

Similar shapes have proportional corresponding sides. So,

\dfrac{AB}{PQ}=\dfrac{BC}{QR}=\dfrac{CD}{RS}=\dfrac{DE}{ST}=\dfrac{EA}{TP}

Substitute all lengths:

\dfrac{4}{28}=\dfrac{3}{21}=\dfrac{5}{35}=\dfrac{3}{21}=\dfrac{2}{x}

Therefore,

\dfrac{2}{x}=\dfrac{1}{7}\\ \\x=14

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