Let ABC be an isosceles triangle at A. Draw BH perpendicular to AC(H belongs to AC), draw CK perpendicular to AB(K belongs to AB). a, Prove AH=AK
b, Let I be the intersection of BH and CK. Prove that AI is orthogonal to HK.
c, Draw Bx perpendicular to AB at B, let E be the intersection of Bx with AC. Prove BC is the bisector of angle HBE.
d, Compare CH with CE

Acampus club held a bake sale as a fund raiser, selling coffee, muffins, and bacon and eggs sandwiches. the club members charged $1 for a cup of coffee, 3$ for a muffin , and $4 for a back. and egg sandwich. they sold a total of 55 items , easing $119. of the club members sold 5 more muffins than cups of coffee, how many bacon and egg sandwiches he’s did they sell