The lieutenant governor: controls the agenda of the texas house does not have to be from the same party that controls the texas senate votes on all matters before the texas house and senate is largely just a figurehead

The Lieutenant Governor does not have to be from the same party that control the Texas Senate, since its position in the State Senate comes from the executive branch. Therefore, he must belong to the same governor's party.

Explanation:

In the United States, a Lieutenant governor is the person who assists the governor placed at the head of each of the states, replacing him in the event of absence or temporary incapacity.

The duties of the Lieutenant Governor usually involve three main points. The Lieutenant Governor of each state is the governor's representative. If the governor dies, resigns or is removed from office, the lieutenant governor automatically moves up to the new governor.  

In numerous states, the respective lieutenant governor also presides over the state Senate as President of the Senate, but he has no formal voting rights. However, should a tie arise, the Lieutenant Governor is entitled to decide with his vote. This competence gives him important political significance in the legislative process at the state level.

Last but not least, lieutenant governors are entrusted with representative tasks. This includes the representation of the state government at important events or, less frequently, visits to other states.