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In the diagram, |XR| = 4cm |RZ| = 12cm, |SR| = n, |XZ| = m...

Mathematics
WAEC 2007
In the diagram, |XR| = 4cm

|RZ| = 12cm, |SR| = n, |XZ| = m and SR||YZ. Find m in terms of n
  • A. m = 2n
  • B. m = 3n
  • C. m = 4n
  • D. m = 5n
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Correct Answer: Option C
Explanation
\(\frac{n}{4} = \frac{m}{4 + 12}\)

\(\frac{n}{4} = \frac{m}{16}\)

4m = 16n

\(\frac{4m}{4} = \frac{16n}{4}\)

m = 4n
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