Conn. Agencies Regs. § 5-273-49
All motions made, other than those made during a hearing or hearings, shall be filed in writing with the Board and shall state the order or relief applied for and the grounds for such motion. The moving party shall serve copies of all such papers on all parties and shall, within three (3) days thereafter, file an original, with proof of due service, and four (4) copies of all papers with and for the use of the Board. Answering statements, if any, shall be served on all parties and an original thereof, with proof of due service, and four (4) copies shall be filed with the Board within three (3) days after service of the moving party or parties, unless otherwise directed by the Board. All motions shall be decided by the Board upon the papers filed with it, unless the Board, in its discretion, shall decide to hear oral argument, or take testimony, in which event the Board shall notify the parties of such fact and of the time and place for such argument or for the taking of such testimony.
Conn. Agencies Regs. § 5-273-49