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Emily778
 2 years ago
Find the value of each variable. If your answer is not an integar, express it in simplest radical form.
Emily778
 2 years ago
Find the value of each variable. If your answer is not an integar, express it in simplest radical form.

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Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1I need to know step by step on how to solve this.

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1@jim_thompson5910 Please help. :(

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1is this a right triangle?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1362695556789:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1this is because all angles must add to 180 notice how 45 + 45 + 90 = 180

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1so we have a 454590 triangle which means that the two legs are congruent

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1362695629297:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1if 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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1362695698593:dw

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1if you already figured out the hypotenuse's are the same, why'd you do all that work up there?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1the legs are the same, not the hypotenuses

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1oh. Should I put down the equations you did to get a decent grade?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1and 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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1also, if you know the legs, you can find the hypotenuse using the pythagorean theorem, which is a^2 + b^2 = c^2

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1you'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.

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1alright, did you see how I figured out how x = sqrt(2) ?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1the legs of a 454590 triangle are congruent x is a leg and so is the sqrt(2) length, so that means x = sqrt(2)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1with me so far?

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1can you write it down, like.."step 1, step 2" to make it more simple?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1the 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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1362696451678:dw

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1would I write that down on a paper?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1yeah if you wanted to, you could also use the template above as a shortcut

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1this template dw:1362696580301:dw

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1Ugh..I'll show you what I have on my paper and you say if it's correct or not..

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1ok good so far, you just have shown that the missing angle is 45 degrees

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1oh and you threw in x = sqrt(2)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1I would say why x is sqrt(2) and you can say that the legs are congruent (because it's a 454590 triangle)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1the next thing you need to show is how to get y

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1there are 2 ways to do it: use the template above or the pythagorean theorem

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1both ways are shown in this post

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1can you show them again. you can copy them

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1here is the pythagorean theorem method

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1the 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

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1Yeah. Sorry, I was off the computer. Taking a break. :P

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1Wait..Y=2? @jim_thompson5910

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1362701799670:dw

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1could I make it look like this?dw:1362701962485:dw

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1from the one thing you showed me? instead of putting down "sqrt"?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1yes you could do it that way (it's a bit cleaner looking)

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1just a question.. How does it equal y?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1what do you mean?

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1nevermind I think I understand.

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1alright, I'm glad it's (sorta) making sense

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1so, x= sqrt2? It can't be simplified?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1that's as simple as it gets for x

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1okay, can you help me with 2 more? Or no?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1sure I can help

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1what's your question

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1the second one explains the same thing, but the problem is different.

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1the legs are equal (we have another 454590 triangle)

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1would I write down that y=x?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1use the pythagorean theorem to get dw:1362703031520:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1then you plug in y = x dw:1362703073963:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1and you solve for x

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1y = x so y and x are the same

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1ohh. I get ya. How do I solve for X for this?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1so you can replace y with x

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1well the two x^2 terms add up to 2x^2

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1so you will have 2x^2 = 450 then what?

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1well, I'd think you'd divide the 450 by 2 but it's squared..so, I don't know..

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1yes, 2x^2 = 450 x^2 = 450/2 x^2 = 225 x = sqrt(225) x = 15

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1so both x and y are 15 (since y = x)

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1Oh, I get it. Thankyou. :)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1this is another 454590 triangle (the legs are congruent)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1so what does that mean for the value of y?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1yes and what else

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1how can you find the value of y?

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1isn't it a^2 +b^2=c^2?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1replace a with sqrt(5) replace b with sqrt(5) and you want to solve for c

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1Do I actually solve sqrt5^2 + sqrt5^2 in the calculator?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1well the square of the square roots cancel each other out

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1so (sqrt(5))^2 = 5

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1so you are left with 5 + 5 which turns into 10

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1I'm confused. How did you get 5+5?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1362706218096:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1so that's how I got 2 five terms being added

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1wouldn't I replace C with Y?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1making dw:1362706377944:dw

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1is that it for that problem?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1yes, you found y, so you're done

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1Oh, I'm so sorry. but I don't get this other one. Can you help me with it? c:

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1sry was afk for a sec

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1were you able to get anywhere with this at all?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1sry i had to go afk, but I'm back

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1y is actually 2 the legs are not congruent

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1x = 2*y x = 2*2 x =4

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1the reason how I know y is 2 is from this template dw:1362709753724:dw

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1um, 60 degrees is down below and down below, its 2 sqrt3

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1well i flipped the triangle around, but if it were oriented the way the problem has it, then you would have dw:1362710229246:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1the 2*sqrt(3) is above though isnt it?

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1I just showed you the diagram. :P

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1but in this one, the 2*sqrt(3) is above dw:1362710579138:dw

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1Are you supposed to change what I showed you?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1no i just copied what you drew

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1you're mixing up everything I just drew and you know that. ._.

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1look up at the picture again..

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1yeah i see the new one, but you drew a totally different one

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1or is it a case the second one is the correct one and the first one was a typo?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1yeah i was like...what in the world lol

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1its fine, so which one is it?

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1the second one is correct.

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1are you gonna help? I don't have all day.

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1362712584316:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1the value of x is exactly half that of the hypotenuse

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1That's correct. xP Lol.

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1yeah just wanted to make sure and put it up again

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1so x = 2*sqrt(3)/2 = sqrt(3)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1which means dw:1362712746325:dw

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1is it 2 times sqrt 3/2?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1the 2 terms cancel

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1so I write this down? x = 2*sqrt(3)/2 = sqrt(3)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1yes and that will give you the value of x

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1Just to make sure we're on the same topic..dw:1362713238955:dw

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1is that how it should be shown?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1yes you have it correct, so now that you have x, you can find y

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1y = x*sqrt(3) y = sqrt(3)*sqrt(3) y = 3

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1so, Y= 3 and X= Sqrt 3

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1wanna help me with one more please? :D

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1362714258167:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1x = 2*12 x = 24 since the hypotenuse is double the shorter leg in a 306090 triangle

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1y = 12*sqrt(3) because of the template given above

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1where'd you get the 2 in the first one?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1in general, with any 306090 triangle the hypotenuse is twice as long as the shorter leg

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1oh, so that's why it's 2 x 24..Okay,

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.12 * 12 = 24, but yeah you have it

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1y = 12*sqrt(3)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1sry mixed up the 30 and the 60

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1362714824453:dw

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1What is the answer for Y? I got 20..:/

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.120 is incorect

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1362714907609:dw

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1you can't simplify it?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1that's as simplified as it gets

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1in the template above, do you see how the longer leg is x*sqrt(3) ?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1ok I would write that template down, it's very handy

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1also the 454590 template as well

Emily778
 2 years ago
Best ResponseYou've already chosen the best response.1thankyou for helping me

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1you're welcome, sry for being afk a lot lol
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