Question

Решите пропорцию. х/12=7/10 12/21=х/14 х/16=9/32 8/7=15/х

Answer 1

1) ×:12(дробью)=7610(дробью); х·10=12·7; 10х=84; х=8,4
все остальные анологично.

Answer 2

I will try to answer in detail. To solve a proportion, we need to find the value of x that makes the ratio of two fractions equal. We can do this by using the cross-multiplication method, which means multiplying the numerator of one fraction by the denominator of the other, and setting them equal. For example, if we have x/12 = 7/10, we can cross-multiply and get 10x = 84. Then we can divide both sides by 10 and get x = 8.4. Here are the solutions for the other proportions:

- 12/21 = x/14. Cross-multiplying, we get 14 * 12 = 21 * x. Simplifying, we get 168 = 21x. Dividing by 21, we get x = 8. - x/16 = 9/32. Cross-multiplying, we get 32x = 144. Dividing by 32, we get x = 4.5. - 8/7 = 15/x. Cross-multiplying, we get 7 * 15 = 8 * x. Simplifying, we get 105 = 8x. Dividing by 8, we get x = 13.125.

You can also use the online calculator for proportions to check your answers or to solve more problems. It will help you find the missing value in a proportion, simplify a ratio, or check the validity of a proportion. You can also find some theory and instructions on how to use the calculator on the same website. I hope this helps you understand how to solve proportions.