James uses 1/2 of a cup of sugar in his cookies, and jade uses 3/4 of a cup of sugar in her cookies. noel takes the sum of the two amounts of sugar and divides it into two equal portions, planning to use only one portion of it in his cookies. how much sugar does noel use in his cookies?
a. 3/4 of a cup
b. 5/8 of a cup
c. 5/16 of a cup
d. 1/2 of a cup

The figure shows triangle abc with medians a f, bd, and ce. segment a f is extended to h in such a way that segment gh is congruent to segment ag. triangle abc with medians ce, a f, and bd. median a f is extended to point h. a segment joins points b and h and another segment. which conclusion can be made based on the given conditions? segment gf is congruent to segment eg. segment gf is half the length of segment eb. segment gd is congruent to segment eg.segment gd is half the length of segment hc