are the fallopian tubes connected to the uterus
The fallopian tubes, also known as uterine tubes or salpinges (singular salpinx), are two very fine tubes lined with ciliated simple columnar epithelium, leading from the ovaries of female mammals into the uterus, via the uterotubal junction. They enable the passage of egg cells from the ovaries to the uterus. In non-mammalian vertebrates, the equivalent structures are called oviducts.
Fallopian tube