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Answer:
m = 4.25, or 17/4.
Step-by-step explanation:
Given the proportion:
[tex]\frac{8}{5}= \frac{2}{m-3}[/tex]
Cross multiply:
8(m - 3) = 5 · 2
Distribute the 8:
8m - 8(3) = 10
8m - 24 = 10
Add 24 to both sides:
8m = 34
Divide both sides by 8:
8m/8 = 34/8
m = 4.25, or 17/4.
