There are several synonyms that can be used in place of the phrase "are dependent on." Some options include rely on, hinge on, count on, rest on, and be contingent upon. Each of these phrases conveys a similar meaning to being dependent on something or someone. For instance, when one relies on something or someone, they are putting their trust and confidence in that thing or person. Similarly, when something hinges on another thing, it means that the latter is critical to the success or outcome of the former. Using synonyms for "are dependent on" can help create more variety and sophistication in writing, making it sound more professional and polished.