In the figure below, all the points are evenly spaced along the line. What is the coordinate of point L?

- anonymous

- Stacey Warren - Expert brainly.com

Hey! We 've verified this expert answer for you, click below to unlock the details :)

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

- katieb

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

- anonymous

##### 1 Attachment

- anonymous

@jim_thompson5910 can u pleasse help me with a few questions?

- 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

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

uhhh...

- jim_thompson5910

the points are evenly spaced, so L is the same distance away from both points B and E

- jim_thompson5910

So L is the midpoint of BE

- jim_thompson5910

do you see this?

- anonymous

yea

- 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

what does that give you?

- anonymous

17

- jim_thompson5910

perfect

- anonymous

sweet

- anonymous

can we do number 4 please?

- jim_thompson5910

what is the distance from point T to point E

- anonymous

15

- jim_thompson5910

good, now what's 2/3 of 15?

- anonymous

10

- 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

So just add 10 to the value of T to get your answer

- anonymous

-4

- jim_thompson5910

good

- anonymous

thanks, im going to post more, maybe u can help me?

- jim_thompson5910

alright go for it

- anonymous

##### 1 Attachment

- jim_thompson5910

tell me what you get for each

- anonymous

1) true 2) True 3) true 4) true 5) False

- jim_thompson5910

did you mean #5 through #9?

- jim_thompson5910

and not #1 through #5

- anonymous

yea

- jim_thompson5910

how did you get #3 to be true?

- anonymous

cause the line goes through the AM

- jim_thompson5910

does it? take a very close look at it

- jim_thompson5910

try to rotate it in your mind

- jim_thompson5910

better yet, get a piece of paper, label it and try it out

- anonymous

k

- anonymous

ohhhhhh i see its like putting a pencil through a peice of paper

- jim_thompson5910

exactly, so do they intersect?

- anonymous

no

- anonymous

are the rest correct?

- jim_thompson5910

good

- jim_thompson5910

why is the last one false?

- anonymous

idk, i wanted to put true, but something was teling me to put false

- jim_thompson5910

do E, D and C all lie on the same line?

- anonymous

yes

- jim_thompson5910

so they are collinear by the very definition of collinear

- jim_thompson5910

points are collinear if they all lie on the same straight line

- jim_thompson5910

Example |dw:1343852694256:dw|

- jim_thompson5910

Example of non-collinear points |dw:1343852731003:dw|

- jim_thompson5910

Notice how there is no way to draw a straight line through all of the points, so those points are noncollinear

- anonymous

ohhh

- jim_thompson5910

make sense?

- anonymous

ya

- jim_thompson5910

ok great

- anonymous

##### 1 Attachment

- jim_thompson5910

again tell me what you get

- anonymous

p?

- jim_thompson5910

for #12 right?

- anonymous

ya

- jim_thompson5910

yes, P is coplanar with T, R and Q

- jim_thompson5910

they all lie in the same plane (the back face)

- anonymous

13) rt?

- jim_thompson5910

no, what do the back face and the bottom face have in common (where do they intersect)?

- anonymous

pt?

- jim_thompson5910

you got it

- jim_thompson5910

that bottom edge in the back is what they have in common

- anonymous

##### 1 Attachment

- anonymous

#14) 5?

- jim_thompson5910

#14 how many faces does the figure have?

- anonymous

2?

- anonymous

3

- jim_thompson5910

think of a house

- jim_thompson5910

how many walls does it have?

- anonymous

its the sides u can see right?

- jim_thompson5910

and the sides that are hidden (because they are in the back)

- jim_thompson5910

think of it rotating

- anonymous

4

- jim_thompson5910

4 walls, good

- jim_thompson5910

how many parts to the roof?

- jim_thompson5910

flat parts

- anonymous

6

- jim_thompson5910

6 flat parts to the roof? or 6 total so far?

- anonymous

total

- jim_thompson5910

ok, then count in the floor

- anonymous

7

- anonymous

7

- jim_thompson5910

yes

- jim_thompson5910

there are 7 faces total

- jim_thompson5910

so there are 7 planes

- anonymous

oh ok

- jim_thompson5910

with any geometric solid, a "face" is also a plane

- anonymous

I

- jim_thompson5910

?

- anonymous

number 15 is i ?

- 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

f?

- jim_thompson5910

what also lies on that left wall?

- anonymous

a,d,g,j,f,i

- jim_thompson5910

i and f don't because they lie on the left rooftop

- anonymous

g

- jim_thompson5910

yes, the answer to #15 is g

- anonymous

now for number 16 im confused

- jim_thompson5910

draw a line from D to J

- jim_thompson5910

which face does this line lie in?

- anonymous

jadg

- jim_thompson5910

good

- jim_thompson5910

another way to name JADG is JAD since 3 points are enough to make a plane

- anonymous

is 17 plane JIG?

- anonymous

i mean JGF

- jim_thompson5910

yes, JIG is the same plane as JGF and they both work

- jim_thompson5910

but JGF is the only listed answer, so it's JGF

- anonymous

number 18 "No answer is correct."?

- jim_thompson5910

very good

- jim_thompson5910

there is no face that has the line

- anonymous

sweet!

- anonymous

##### 1 Attachment

- anonymous

non-coplanar ( number 19)

- jim_thompson5910

are you sure? look again (very closely)

- anonymous

collinear

- jim_thompson5910

do they all lie on the same line?

- anonymous

no non-collinear

- jim_thompson5910

good, so #19 is non-collinear

- anonymous

#20 non-coplanar

- jim_thompson5910

yes, very good

- jim_thompson5910

not all of those 3 points lie in the same plane/face

- anonymous

21 - non-coplanar?

- 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

22 - They donâ€™t intersect.

- jim_thompson5910

good

- anonymous

23 - collinear

- jim_thompson5910

do they all lie on the same line?

- anonymous

no non-coplanar

- jim_thompson5910

so they do NOT lie in the same plane?

- anonymous

no

- jim_thompson5910

are you sure?

- anonymous

yes

- jim_thompson5910

look again

- anonymous

yes they do, coplanar

- jim_thompson5910

yes you are correct

- anonymous

24- collinear

- jim_thompson5910

they all lie on the same line?

- anonymous

yes

- jim_thompson5910

look again

- anonymous

no

- jim_thompson5910

so not colllinear

- jim_thompson5910

collinear*

- anonymous

non-collinear

- jim_thompson5910

good

- anonymous

last one

##### 1 Attachment

- anonymous

non-coplanar

- jim_thompson5910

correct

- anonymous

AWESOME , THANK YOU SO MUCH FOR TAKING TIME TO HELP ME OUT

- jim_thompson5910

you're very welcome

Looking for something else?

Not the answer you are looking for? Search for more explanations.