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Mathematics 6 Online
OpenStudy (anonymous):

plz need answer quick! :(

OpenStudy (anonymous):

OpenStudy (anonymous):

again, similar triangles, use ratios to solve

OpenStudy (whpalmer4):

12 is to 2 as 54 is to x.

OpenStudy (whpalmer4):

Do not answer 44 :-)

OpenStudy (anonymous):

4?

OpenStudy (whpalmer4):

12 / 2 = 6 54 / 6 = ?

OpenStudy (anonymous):

54 divided by 6? um..9!

OpenStudy (whpalmer4):

Right. 12/2 is the same as 54 / 9, right?

OpenStudy (anonymous):

yes because 12 divided by 2 is also 6! :)

OpenStudy (whpalmer4):

Bingo. You just need to work out the proportions, it isn't that hard, so long as you make sure you are using the corresponding sides to set up the proportion!

OpenStudy (anonymous):

yeah I'm sorry i'm real slow at this but thank u sooo much for helping!!! :D you have no idea :) so x= 6, right? :)

OpenStudy (whpalmer4):

If you are looking at the corresponding sides, and one side is 6 times as big as it is in the other triangle, then all the other sides need to also be 6 times as big.

OpenStudy (anonymous):

oh so then what do u do/

OpenStudy (whpalmer4):

So because the left side of the triangle is 6 times as big in the left triangle as it is in the right triangle, the hypotenuse (which is 54) must be 6 times as big as it is in the right triangle (where it is x). The value of x must therefore be 9, because 6x9 = 54.

OpenStudy (whpalmer4):

It's so simple it's confusing you :-)

OpenStudy (anonymous):

OHHH

OpenStudy (anonymous):

so all you gotta do is divide??

OpenStudy (whpalmer4):

divide or multiply, depends on how the problem is set up.

OpenStudy (whpalmer4):

you could even work it out by guessing and adjusting your guess. say you guess x= 5, 12/2 = 6, 6*5 only 30, but you need 54, so x must be bigger than 5. Try x = 10, 6*10 = 60 which is a little too big. Now we know it is between 5 and 10, closer to 10. Try 9, hey, 9*6 = 54, just what we wanted!

OpenStudy (anonymous):

Oh!! lololol i overthink too much lol thank U sooo much @whpalmer4 ! So the answer is officially 9 :)

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