Final answer:
Simplifying the ratio 2X-6:6X-4 requires finding a common factor, which is not apparent in the original expression. Without additional information or a clarification of the question, it's not possible to simplify this ratio to match any of the numerical ratio options provided. In situations with numerical ratios, simplification involves dividing both terms by their greatest common factor.
Step-by-step explanation:
To find which of the following options are equivalent to the ratio 2X-6:6X-4, we need to simplify it by finding a common factor that can divide both parts of the ratio equally. First, we should look for a greatest common factor (GCF) between 2X-6 and 6X-4. If one exists, we will divide both parts of the ratio by that factor. However, since there's no evident common factor other than 1, and the options provided are all numerical ratios without variables, it seems that this question might be looking for a different approach, possibly a typo or mix-up in the question. Since we cannot directly calculate the ratio without further information, let's demonstrate how you can attempt to simplify a ratio when no common factor is present:
Let's assume for a moment that the ratio could be simplified by some common factor (which is not apparent here). You would divide both terms of the ratio by this common factor. For example, if the ratio was 6X:9X, you could divide both terms by 3X to get a simplified ratio of 2:3. However, in the given ratio of 2X-6:6X-4, there is no such common factor that simplifies to the given options.
If this were a mistake and the intended question was a numerical ratio, you would simply find the GCF and divide both parts of the ratio by it. For example, a ratio of 8:12 can be simplified to 2:3 by dividing both terms by 4, their GCF.