The answer is the first one (A): placenta.
Explanation for each option:
(A) Placenta: Correct. The placenta is the organ that provides nourishment and oxygen to the developing fetus through the mother's blood supply. It also removes waste products from the fetus's blood.
(B) Umbilical cord: Incorrect. The umbilical cord connects the fetus to the placenta, allowing the transfer of nutrients, oxygen, and waste between the fetus and the placenta, but it is not the organ that directly provides nourishment.
(C) Amniotic sac: Incorrect. The amniotic sac is a fluid-filled sac that surrounds and protects the fetus during pregnancy, but it does not provide nourishment.
(D) Blastocyte: Incorrect. A blastocyte is an early stage in embryonic development, not an organ that provides nourishment.
(E) The sac in which the developing infant is contained prior to birth: Incorrect. This description refers to the amniotic sac, which, as mentioned, does not provide nourishment.
In summary, the placenta is the organ responsible for nourishing the infant during pregnancy.