Answer:
35-7-7-7-7-7=0 also 35-7=28-7=21-7=14-7=7-7=0
Step-by-step explanation:
48-12-12-12-12=0 also 48-12=36-12=24-12=12-12=0
72-8-8-8-8-8-8-8-8-8=0 also 72-8=64-8=56-8=48-8=40-8=32-8=24-8=16-8=8-8=0
Answer:
y = 108°
Step-by-step explanation:
Since AB and CD are parallel lines, then
3x - 12 and 2x + 16 are corresponding angles and congruent, thus
3x - 12 = 2x + 16 ( subtract 2x from both sides )
x - 12 = 16 ( add 12 to both sides )
x = 28
Thus
3x - 12 = 3(28) - 12 = 84 - 12 = 72°
y and 3x - 12 are adjacent angles and supplementary, thus
y = 180° - 72° = 108°
Answer:
(a) 9 buildings
(b) 2^n -1
Step-by-step explanation:
The number of distinct non-empty subsets of b objects is 2^b -1. Since the subsets are distinct, each could represent a list of the buildings, from the set of b buildings, in which a student is taking courses.
(a) For 8 buildings, 2^8 -1 = 255 students could enroll. for 9 buildings, 2^9-1 = 511 students could enroll.
For 500 students, 9 buildings are required.
__
(b) The maximum number of students for n buildings is ...
2^n -1
