please help me solve this problem I'm stuck.
Identify the value of x that makes each pair of ratios equivalent
2:x and 12:18
here are the options
A.3
B.4
C.6
To solve the problem, we need to find the value of x that makes the ratio 2:x equivalent to the ratio 12:18.
To start, we can write the ratio 2:x as 2/x. Similarly, we can write the ratio 12:18 as 12/18.
When two ratios are equivalent, it means that their values are equal. Therefore, we can set up the following equation:
2/x = 12/18
To solve this equation, we can cross multiply:
2 * 18 = 12 * x
Simplifying the equation:
36 = 12x
To isolate x, we can divide both sides of the equation by 12:
36/12 = x
3 = x
Therefore, the value of x that makes the pair of ratios equivalent is 3.
So the correct option is A. 3.