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OpenStudy (anonymous):
5x -7?
jimthompson5910 (jim_thompson5910):
4x-8+x+1
(4x+x)+(-8+1)
5x-7
So 4x-8+x+1 = 5x-7
OpenStudy (anonymous):
|dw:1319430391056:dw|
OpenStudy (anonymous):
find the value of x if l and m are parallel
OpenStudy (anonymous):
haha where exactly is x??
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OpenStudy (anonymous):
l=4x-8 m=x+1
jimthompson5910 (jim_thompson5910):
l and m are lines, but you assigned numeric values to them
so are they really slopes?
OpenStudy (anonymous):
let me draw the whole thing
OpenStudy (anonymous):
dont go away
jimthompson5910 (jim_thompson5910):
if you can, post a screenshot as they're usually much better to look at
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OpenStudy (anonymous):
|dw:1319430554258:dw|
jimthompson5910 (jim_thompson5910):
does it say if l = 4x-8 is referring to its slope?
OpenStudy (anonymous):
OpenStudy (anonymous):
whoa thats sloppy but yeah
OpenStudy (anonymous):
have any ideas>
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jimthompson5910 (jim_thompson5910):
lol yeah the pic is just as bad, but I think the expression are referring to the angles and not the slopes
OpenStudy (anonymous):
ok here wait let me take anothe rpic
jimthompson5910 (jim_thompson5910):
in any event, they are coincidentally equal anyway
jimthompson5910 (jim_thompson5910):
this is because the two angles are corresponding angles
OpenStudy (anonymous):
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jimthompson5910 (jim_thompson5910):
so
4x-8=x+1
Now solve for x
4x-8=x+1
4x=x+1+8
4x-x=1+8
3x=9
x=9/3
x=3
So x = 3
jimthompson5910 (jim_thompson5910):
ok that's better, thx
OpenStudy (anonymous):
thats it?
OpenStudy (anonymous):
ok here wait i got two more
jimthompson5910 (jim_thompson5910):
yep x = 3
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OpenStudy (anonymous):
so i can write on my paper what you wrote
jimthompson5910 (jim_thompson5910):
k
OpenStudy (anonymous):
ok let me post the next one k?
jimthompson5910 (jim_thompson5910):
sure
OpenStudy (anonymous):
are you sure its right?
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jimthompson5910 (jim_thompson5910):
yes, x = 3 is the correct answer
OpenStudy (anonymous):
the two lines cannot be parallel since their slopes are different. That is the answer. So you cant find x.
OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
those are the angles, not the slopes
OpenStudy (anonymous):
whatever you write i write so
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jimthompson5910 (jim_thompson5910):
what's the relationship between angle 2 and angle 4?
OpenStudy (anonymous):
idk thats all it has
OpenStudy (anonymous):
well in that case u just equate them. i thought they were the equations for the lines
jimthompson5910 (jim_thompson5910):
is it referring to a drawing?
OpenStudy (anonymous):
o yeah it is
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OpenStudy (anonymous):
they r corresponding angles....thats the condition for being parallel
OpenStudy (anonymous):
let me post it
OpenStudy (anonymous):
any 1 from MIT here??
OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
ok, angles 2 and 4 are equal. Why? Because they are vertical angles (and vertical angles are equal)
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jimthompson5910 (jim_thompson5910):
so this means that 10x-2 = 5x-43
solve this equation to find the value of x
OpenStudy (anonymous):
5x+43 not -
jimthompson5910 (jim_thompson5910):
oh ok thx
jimthompson5910 (jim_thompson5910):
so solve 10x-2 = 5x+43 to find x
jimthompson5910 (jim_thompson5910):
let me know what you get
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OpenStudy (anonymous):
hmm ok
OpenStudy (anonymous):
wait that doesnt make sense
jimthompson5910 (jim_thompson5910):
what doesn't
OpenStudy (anonymous):
you cant minus the 10x from 2 and plus at the same time
jimthompson5910 (jim_thompson5910):
that's just the expression you've been given
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OpenStudy (anonymous):
ok well can you help me a little
jimthompson5910 (jim_thompson5910):
here I'll solve for x
jimthompson5910 (jim_thompson5910):
10x-2 = 5x+43
10x = 5x+43+2
10x = 5x+45
10x - 5x = 45
5x = 45
x = 45/5
x = 9
So when x = 9, the measure of angle 2 is 10x-2 = 10(9)-2 = 90-2 = 88 degrees
and when x = 9, the measure of angle 4 is 5x+43 = 5(9)+43 = 45+43 = 88 degrees
So this shows that angle 2 = angle 4 (which is what we want) and they both equal 88 degrees