anonymous
  • anonymous
In the figure below, all the points are evenly spaced along the line. What is the coordinate of point L?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
@jim_thompson5910 can u pleasse help me with a few questions?
anonymous
  • anonymous
8+x=L L+x=26 substitute (8+x)+x=26 x is the same for both expressions because the points are equally spaced solve for x, then solve for L

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More answers

anonymous
  • anonymous
uhhh...
jim_thompson5910
  • jim_thompson5910
the points are evenly spaced, so L is the same distance away from both points B and E
jim_thompson5910
  • jim_thompson5910
So L is the midpoint of BE
jim_thompson5910
  • jim_thompson5910
do you see this?
anonymous
  • anonymous
yea
jim_thompson5910
  • jim_thompson5910
so we can say (B+E)/2 = L or basically take the value of B, add it to E, then divide by 2 to get L
jim_thompson5910
  • jim_thompson5910
what does that give you?
anonymous
  • anonymous
17
jim_thompson5910
  • jim_thompson5910
perfect
anonymous
  • anonymous
sweet
anonymous
  • anonymous
can we do number 4 please?
jim_thompson5910
  • jim_thompson5910
what is the distance from point T to point E
anonymous
  • anonymous
15
jim_thompson5910
  • jim_thompson5910
good, now what's 2/3 of 15?
anonymous
  • anonymous
10
jim_thompson5910
  • jim_thompson5910
so the distance from point T to point P is 10 units (since P is 2/3 of the way from T to E)
jim_thompson5910
  • jim_thompson5910
So just add 10 to the value of T to get your answer
anonymous
  • anonymous
-4
jim_thompson5910
  • jim_thompson5910
good
anonymous
  • anonymous
thanks, im going to post more, maybe u can help me?
jim_thompson5910
  • jim_thompson5910
alright go for it
anonymous
  • anonymous
1 Attachment
jim_thompson5910
  • jim_thompson5910
tell me what you get for each
anonymous
  • anonymous
1) true 2) True 3) true 4) true 5) False
jim_thompson5910
  • jim_thompson5910
did you mean #5 through #9?
jim_thompson5910
  • jim_thompson5910
and not #1 through #5
anonymous
  • anonymous
yea
jim_thompson5910
  • jim_thompson5910
how did you get #3 to be true?
anonymous
  • anonymous
cause the line goes through the AM
jim_thompson5910
  • jim_thompson5910
does it? take a very close look at it
jim_thompson5910
  • jim_thompson5910
try to rotate it in your mind
jim_thompson5910
  • jim_thompson5910
better yet, get a piece of paper, label it and try it out
anonymous
  • anonymous
k
anonymous
  • anonymous
ohhhhhh i see its like putting a pencil through a peice of paper
jim_thompson5910
  • jim_thompson5910
exactly, so do they intersect?
anonymous
  • anonymous
no
anonymous
  • anonymous
are the rest correct?
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
why is the last one false?
anonymous
  • anonymous
idk, i wanted to put true, but something was teling me to put false
jim_thompson5910
  • jim_thompson5910
do E, D and C all lie on the same line?
anonymous
  • anonymous
yes
jim_thompson5910
  • jim_thompson5910
so they are collinear by the very definition of collinear
jim_thompson5910
  • jim_thompson5910
points are collinear if they all lie on the same straight line
jim_thompson5910
  • jim_thompson5910
Example |dw:1343852694256:dw|
jim_thompson5910
  • jim_thompson5910
Example of non-collinear points |dw:1343852731003:dw|
jim_thompson5910
  • jim_thompson5910
Notice how there is no way to draw a straight line through all of the points, so those points are noncollinear
anonymous
  • anonymous
ohhh
jim_thompson5910
  • jim_thompson5910
make sense?
anonymous
  • anonymous
ya
jim_thompson5910
  • jim_thompson5910
ok great
anonymous
  • anonymous
1 Attachment
jim_thompson5910
  • jim_thompson5910
again tell me what you get
anonymous
  • anonymous
p?
jim_thompson5910
  • jim_thompson5910
for #12 right?
anonymous
  • anonymous
ya
jim_thompson5910
  • jim_thompson5910
yes, P is coplanar with T, R and Q
jim_thompson5910
  • jim_thompson5910
they all lie in the same plane (the back face)
anonymous
  • anonymous
13) rt?
jim_thompson5910
  • jim_thompson5910
no, what do the back face and the bottom face have in common (where do they intersect)?
anonymous
  • anonymous
pt?
jim_thompson5910
  • jim_thompson5910
you got it
jim_thompson5910
  • jim_thompson5910
that bottom edge in the back is what they have in common
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
#14) 5?
jim_thompson5910
  • jim_thompson5910
#14 how many faces does the figure have?
anonymous
  • anonymous
2?
anonymous
  • anonymous
3
jim_thompson5910
  • jim_thompson5910
think of a house
jim_thompson5910
  • jim_thompson5910
how many walls does it have?
anonymous
  • anonymous
its the sides u can see right?
jim_thompson5910
  • jim_thompson5910
and the sides that are hidden (because they are in the back)
jim_thompson5910
  • jim_thompson5910
think of it rotating
anonymous
  • anonymous
4
jim_thompson5910
  • jim_thompson5910
4 walls, good
jim_thompson5910
  • jim_thompson5910
how many parts to the roof?
jim_thompson5910
  • jim_thompson5910
flat parts
anonymous
  • anonymous
6
jim_thompson5910
  • jim_thompson5910
6 flat parts to the roof? or 6 total so far?
anonymous
  • anonymous
total
jim_thompson5910
  • jim_thompson5910
ok, then count in the floor
anonymous
  • anonymous
7
anonymous
  • anonymous
7
jim_thompson5910
  • jim_thompson5910
yes
jim_thompson5910
  • jim_thompson5910
there are 7 faces total
jim_thompson5910
  • jim_thompson5910
so there are 7 planes
anonymous
  • anonymous
oh ok
jim_thompson5910
  • jim_thompson5910
with any geometric solid, a "face" is also a plane
anonymous
  • anonymous
I
jim_thompson5910
  • jim_thompson5910
?
anonymous
  • anonymous
number 15 is i ?
jim_thompson5910
  • jim_thompson5910
points D, J and A all lie on the left wall (that's behind the front and right walls...so it's hidden from view)
anonymous
  • anonymous
f?
jim_thompson5910
  • jim_thompson5910
what also lies on that left wall?
anonymous
  • anonymous
a,d,g,j,f,i
jim_thompson5910
  • jim_thompson5910
i and f don't because they lie on the left rooftop
anonymous
  • anonymous
g
jim_thompson5910
  • jim_thompson5910
yes, the answer to #15 is g
anonymous
  • anonymous
now for number 16 im confused
jim_thompson5910
  • jim_thompson5910
draw a line from D to J
jim_thompson5910
  • jim_thompson5910
which face does this line lie in?
anonymous
  • anonymous
jadg
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
another way to name JADG is JAD since 3 points are enough to make a plane
anonymous
  • anonymous
is 17 plane JIG?
anonymous
  • anonymous
i mean JGF
jim_thompson5910
  • jim_thompson5910
yes, JIG is the same plane as JGF and they both work
jim_thompson5910
  • jim_thompson5910
but JGF is the only listed answer, so it's JGF
anonymous
  • anonymous
number 18 "No answer is correct."?
jim_thompson5910
  • jim_thompson5910
very good
jim_thompson5910
  • jim_thompson5910
there is no face that has the line
anonymous
  • anonymous
sweet!
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
non-coplanar ( number 19)
jim_thompson5910
  • jim_thompson5910
are you sure? look again (very closely)
anonymous
  • anonymous
collinear
jim_thompson5910
  • jim_thompson5910
do they all lie on the same line?
anonymous
  • anonymous
no non-collinear
jim_thompson5910
  • jim_thompson5910
good, so #19 is non-collinear
anonymous
  • anonymous
#20 non-coplanar
jim_thompson5910
  • jim_thompson5910
yes, very good
jim_thompson5910
  • jim_thompson5910
not all of those 3 points lie in the same plane/face
anonymous
  • anonymous
21 - non-coplanar?
jim_thompson5910
  • jim_thompson5910
good, from 20, A, B and G are noncoplanar, so throwing in another point (whatever that new point may be) will not change this
anonymous
  • anonymous
22 - They don’t intersect.
jim_thompson5910
  • jim_thompson5910
good
anonymous
  • anonymous
23 - collinear
jim_thompson5910
  • jim_thompson5910
do they all lie on the same line?
anonymous
  • anonymous
no non-coplanar
jim_thompson5910
  • jim_thompson5910
so they do NOT lie in the same plane?
anonymous
  • anonymous
no
jim_thompson5910
  • jim_thompson5910
are you sure?
anonymous
  • anonymous
yes
jim_thompson5910
  • jim_thompson5910
look again
anonymous
  • anonymous
yes they do, coplanar
jim_thompson5910
  • jim_thompson5910
yes you are correct
anonymous
  • anonymous
24- collinear
jim_thompson5910
  • jim_thompson5910
they all lie on the same line?
anonymous
  • anonymous
yes
jim_thompson5910
  • jim_thompson5910
look again
anonymous
  • anonymous
no
jim_thompson5910
  • jim_thompson5910
so not colllinear
jim_thompson5910
  • jim_thompson5910
collinear*
anonymous
  • anonymous
non-collinear
jim_thompson5910
  • jim_thompson5910
good
anonymous
  • anonymous
last one
1 Attachment
anonymous
  • anonymous
non-coplanar
jim_thompson5910
  • jim_thompson5910
correct
anonymous
  • anonymous
AWESOME , THANK YOU SO MUCH FOR TAKING TIME TO HELP ME OUT
jim_thompson5910
  • jim_thompson5910
you're very welcome

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