<span>If two lines are parallel, they do not intersect -- this one is true. the definition of parallel lines prevents these lines from crossing one another, because at that point they would no longer be parallel. parallel lines never touch.
If two lines do not intersect, then they are parallel -- not necessarily. skew lines are the exception here. you probably won't touch on it at your current level of math, but lines exist in higher dimensions than the second (third dimension, fourth dimension, etc) that prevent this from being necessarily true. if your class is ONLY related to two-dimensional geometry and your teacher doesn't want you to consider higher dimensions, then there's no reason to use this answer; the statement would be true.
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The answer is 16
good luck
Let the number of marbles be M,
then,
M=6a+4 (when shared among 6 students)
M=7b+4 (when shared among 7 students)
M=8a+4 (when shared among 8 students)
thus
M-4=6a
M-4=7b
M-4=8c
That is M-4 is the smallest number which is a multiple of 6, 7 and 8
Thus we need to find the LCM(6, 7, 8)
LCM(6, 7, 8)=LCM(2*3, 7, 2*2*2) = 2*2*2*3*7=8*21=168
The smallest M-4 is 168,
so the smallest M is 168+4=172
Answer: 172
9514 1404 393
Answer:
8
Step-by-step explanation:
The formula for the number of degrees in the sum of the interior angles of an n-sided polygon is ...
sum of angles = 180°(n -2)
Filling in the given value and solving for n, we get ...
1080 = 180(n -2)
6 = n -2 . . . . . . divide by 180
8 = n . . . . . . . . add 2
The polygon has 8 sides.