2. Решите уравнения, используя основное свойство пропорции: 1. x/6 = 14/7 2. 8/x = 4/2 3. x/9 = 16/4 4. 10/x = 20/5

Решение:

1. \[\frac{x}{6} = \frac{14}{7}\] \[7x = 6 \cdot 14\] \[7x = 84\] \[x = \frac{84}{7}\] \[x = 12\]
2. \[\frac{8}{x} = \frac{4}{2}\] \[8 \cdot 2 = 4x\] \[16 = 4x\] \[x = \frac{16}{4}\] \[x = 4\]
3. \[\frac{x}{9} = \frac{16}{4}\] \[4x = 9 \cdot 16\] \[4x = 144\] \[x = \frac{144}{4}\] \[x = 36\]
4. \[\frac{10}{x} = \frac{20}{5}\] \[10 \cdot 5 = 20x\] \[50 = 20x\] \[x = \frac{50}{20}\] \[x = \frac{5}{2}\] \[x = 2.5\]

Ответ: 1. x=12, 2. x=4, 3. x=36, 4. x=2.5