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Find the value of each variable. If your answer is not an integar, express it in simplest radical form.
 one year ago
 one year ago
Find the value of each variable. If your answer is not an integar, express it in simplest radical form.
 one year ago
 one year ago

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Emily778Best ResponseYou've already chosen the best response.1
dw:1362695099329:dw
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
I need to know step by step on how to solve this.
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
@jim_thompson5910 Please help. :(
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
is this a right triangle?
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
dw:1362695278150:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1362695556789:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
this is because all angles must add to 180 notice how 45 + 45 + 90 = 180
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
so we have a 454590 triangle which means that the two legs are congruent
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1362695629297:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
if the leg is x, then the hypotenuse is x*sqrt(2) So hypotenuse = x*sqrt(2) hypotenuse = sqrt(2)*sqrt(2) hypotenuse = (sqrt(2))^2 hypotenuse = 2
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1362695698593:dw
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
if you already figured out the hypotenuse's are the same, why'd you do all that work up there?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
the legs are the same, not the hypotenuses
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
oh. Should I put down the equations you did to get a decent grade?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
and I did all that work based on the fact that if you have a 454590 triangle, then you'll have this basic template dw:1362695974272:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
also, if you know the legs, you can find the hypotenuse using the pythagorean theorem, which is a^2 + b^2 = c^2
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
you're kinda confusing me. Like, I'm understanding it more, but the way you're explaining it. You're just kind of throwing it out randomly. I need a step by step procedure.
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
alright, did you see how I figured out how x = sqrt(2) ?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
the legs of a 454590 triangle are congruent x is a leg and so is the sqrt(2) length, so that means x = sqrt(2)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
with me so far?
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
can you write it down, like.."step 1, step 2" to make it more simple?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
the legs of a 454590 triangle are congruent so x must be sqrt(2) units long since the other leg is sqrt(2) units long this means x = sqrt(2)  we know both legs are sqrt(2) units, so let's use them to find the hypotenuse y a^2 + b^2 = c^2 ( sqrt(2) )^2 + ( sqrt(2) )^2 = y^2 2 + 2 = y^2 4 = y^2 y^2 = 4 y = sqrt( 4 ) y = 2 So the hypotenuse is 2 units
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1362696451678:dw
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
would I write that down on a paper?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
yeah if you wanted to, you could also use the template above as a shortcut
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
this template dw:1362696580301:dw
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
Ugh..I'll show you what I have on my paper and you say if it's correct or not..
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
dw:1362696649159:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
ok good so far, you just have shown that the missing angle is 45 degrees
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
oh and you threw in x = sqrt(2)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
I would say why x is sqrt(2) and you can say that the legs are congruent (because it's a 454590 triangle)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
the next thing you need to show is how to get y
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
there are 2 ways to do it: use the template above or the pythagorean theorem
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
both ways are shown in this post
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
can you show them again. you can copy them
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
here is the pythagorean theorem method
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
the legs of a 454590 triangle are congruent so x must be sqrt(2) units long since the other leg is sqrt(2) units long this means x = sqrt(2)  we know both legs are sqrt(2) units, so let's use them to find the hypotenuse y a^2 + b^2 = c^2 ( sqrt(2) )^2 + ( sqrt(2) )^2 = y^2 2 + 2 = y^2 4 = y^2 y^2 = 4 y = sqrt( 4 ) y = 2 So the hypotenuse is 2 units
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
Yeah. Sorry, I was off the computer. Taking a break. :P
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
Wait..Y=2? @jim_thompson5910
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1362701799670:dw
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
could I make it look like this?dw:1362701962485:dw
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
from the one thing you showed me? instead of putting down "sqrt"?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
yes you could do it that way (it's a bit cleaner looking)
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
just a question.. How does it equal y?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
what do you mean?
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
nevermind I think I understand.
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
are you sure?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
alright, I'm glad it's (sorta) making sense
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
so, x= sqrt2? It can't be simplified?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
that's as simple as it gets for x
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
okay, can you help me with 2 more? Or no?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
sure I can help
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
what's your question
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
the second one explains the same thing, but the problem is different.
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
dw:1362702888077:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
the legs are equal (we have another 454590 triangle)
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
would I write down that y=x?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
use the pythagorean theorem to get dw:1362703031520:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
then you plug in y = x dw:1362703073963:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
and you solve for x
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
is that " X^2 + X^2"?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
y = x so y and x are the same
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
ohh. I get ya. How do I solve for X for this?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
so you can replace y with x
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
How do i solve for x?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
well the two x^2 terms add up to 2x^2
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
so you will have 2x^2 = 450 then what?
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
well, I'd think you'd divide the 450 by 2 but it's squared..so, I don't know..
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
yes, 2x^2 = 450 x^2 = 450/2 x^2 = 225 x = sqrt(225) x = 15
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
so both x and y are 15 (since y = x)
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
Oh, I get it. Thankyou. :)
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
dw:1362704401057:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
this is another 454590 triangle (the legs are congruent)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
so what does that mean for the value of y?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
yes and what else
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
how can you find the value of y?
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
isn't it a^2 +b^2=c^2?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
replace a with sqrt(5) replace b with sqrt(5) and you want to solve for c
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
Do I actually solve sqrt5^2 + sqrt5^2 in the calculator?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
well the square of the square roots cancel each other out
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
so (sqrt(5))^2 = 5
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
so you are left with 5 + 5 which turns into 10
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
I'm confused. How did you get 5+5?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1362706218096:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
so that's how I got 2 five terms being added
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
wouldn't I replace C with Y?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
making dw:1362706377944:dw
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
is that it for that problem?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
yes, you found y, so you're done
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
Oh, I'm so sorry. but I don't get this other one. Can you help me with it? c:
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
dw:1362707591687:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
sry was afk for a sec
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
were you able to get anywhere with this at all?
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
I think Y = 2 sqrt 3?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
sry i had to go afk, but I'm back
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
y is actually 2 the legs are not congruent
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
x = 2*y x = 2*2 x =4
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
the reason how I know y is 2 is from this template dw:1362709753724:dw
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
um, 60 degrees is down below and down below, its 2 sqrt3
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
well i flipped the triangle around, but if it were oriented the way the problem has it, then you would have dw:1362710229246:dw
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
dw:1362710294844:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
the 2*sqrt(3) is above though isnt it?
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
I just showed you the diagram. :P
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
but in this one, the 2*sqrt(3) is above dw:1362710579138:dw
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
Are you supposed to change what I showed you?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
no i just copied what you drew
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
you're mixing up everything I just drew and you know that. ._.
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
look up at the picture again..
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
yeah i see the new one, but you drew a totally different one
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
or is it a case the second one is the correct one and the first one was a typo?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
yeah i was like...what in the world lol
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
its fine, so which one is it?
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
the second one is correct.
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
are you gonna help? I don't have all day.
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1362712584316:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
the value of x is exactly half that of the hypotenuse
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
That's correct. xP Lol.
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
yeah just wanted to make sure and put it up again
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
so x = 2*sqrt(3)/2 = sqrt(3)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
which means dw:1362712746325:dw
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
is it 2 times sqrt 3/2?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
the 2 terms cancel
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
so I write this down? x = 2*sqrt(3)/2 = sqrt(3)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
yes and that will give you the value of x
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
Just to make sure we're on the same topic..dw:1362713238955:dw
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
is that how it should be shown?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
yes you have it correct, so now that you have x, you can find y
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
y = x*sqrt(3) y = sqrt(3)*sqrt(3) y = 3
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
so, Y= 3 and X= Sqrt 3
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
wanna help me with one more please? :D
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
dw:1362714107413:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1362714258167:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
x = 2*12 x = 24 since the hypotenuse is double the shorter leg in a 306090 triangle
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
y = 12*sqrt(3) because of the template given above
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
where'd you get the 2 in the first one?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
in general, with any 306090 triangle the hypotenuse is twice as long as the shorter leg
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
oh, so that's why it's 2 x 24..Okay,
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
2 * 12 = 24, but yeah you have it
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
y = 12*sqrt(3)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
sry mixed up the 30 and the 60
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1362714824453:dw
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
What is the answer for Y? I got 20..:/
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
20 is incorect
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1362714907609:dw
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
you can't simplify it?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
that's as simplified as it gets
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
in the template above, do you see how the longer leg is x*sqrt(3) ?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
ok I would write that template down, it's very handy
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
also the 454590 template as well
 one year ago

Emily778Best ResponseYou've already chosen the best response.1
thankyou for helping me
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
you're welcome, sry for being afk a lot lol
 one year ago
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