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OpenStudy (anonymous):

coordinate help again

OpenStudy (anonymous):

OpenStudy (danjs):

the first is the same as last one, except you solve for a side instead of the longer slant side^2 + side^2 = slant^2 s^2 + 1^2 = root(2)^2 s^2 + 1 = 2

OpenStudy (danjs):

this is a special one, if the sides are the same , and the slant is root 2 times the side length, it is a 45-45-90 triangle

OpenStudy (anonymous):

hmm ok?

OpenStudy (anonymous):

im lost

OpenStudy (danjs):

solve s^2+1^2=root(2)^2 s^2 + 1 = 2 s^2 = 1 s=1

OpenStudy (danjs):

the sides are in a ratio of 1 to 1 to root (2), it is a 45-45-90 triangle, as an aside

OpenStudy (danjs):

remember that for a right triangle.. a^2 + b^2 = c^2 a and b are the sides and c is the hypotenuse

OpenStudy (danjs):

so 1 is th emissing length

OpenStudy (anonymous):

s^2+1=2?

OpenStudy (danjs):

yeah s is a variable i chose for the missing side

OpenStudy (anonymous):

okay okay by for c=2 its sqrt right?

OpenStudy (danjs):

\[c=\sqrt{2}\] \[c^2=[\sqrt{2}]^2=2\]

OpenStudy (anonymous):

?

OpenStudy (danjs):

pluggin in you get a^2 + b^2 = c^2 a^2 + 1 = 2

OpenStudy (anonymous):

a=1?

OpenStudy (danjs):

The thing to remember is for any right triangle... the sum of the squares of the two sides, 'a' and 'b' is the same as the square of the hypotenuse a^2 + b^2 = c^2

OpenStudy (danjs):

here they give you a side length, and the hypotenuse length , putting those in you get a^2 + 1^2 = 2 a^2 = 1 a=1

OpenStudy (anonymous):

so A is the correct answer choice?

OpenStudy (danjs):

yes

OpenStudy (danjs):

you just have to know the a^2+b^2=c^2, the rest is just putting in the values ad solving for the missing one, here it is 1

OpenStudy (anonymous):

okay thanks and what about the other question

OpenStudy (danjs):

THe figure in the second has pairs of vertical angles where the diagonals cross recall vertical angles are the same measure, (opposite sides of an x are vertical angles) so you can set those equal

OpenStudy (anonymous):

yeah

OpenStudy (danjs):

4x - 2 = x + 28 and 4y - 7 = y + 14

OpenStudy (danjs):

that's it, just solve for the x and y values

OpenStudy (anonymous):

10 and 7?

OpenStudy (danjs):

yep

OpenStudy (anonymous):

thank you so much

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