Solve for RN.
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Let RN be x
[tex]\\ \sf\longmapsto \dfrac{10}{x}=\dfrac{8}{5}[/tex]
[tex]\\ \sf\longmapsto 8x=50[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{50}{8}[/tex]
[tex]\\ \sf\longmapsto x=6.2[/tex]
Step-by-step explanation:
[tex]{ \tt{ \frac{(10 +RN) }{10} = \frac{(8 + 5)}{8} }} \\ \\ { \tt{{10 +RN } = \frac{(8 + 5) \times 10}{8} }} \\ \\ { \tt{10 + RN = 16.25}} \\ \\ { \tt{RN = 6.25}}[/tex]