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Mathematics 13 Online
OpenStudy (anonymous):

What is the length of ?

OpenStudy (anonymous):

OpenStudy (jdoe0001):

notice those two triangles they each have 2 eaual angles, so that means they ARE?

OpenStudy (anonymous):

similar?

OpenStudy (jdoe0001):

erk equal rather anyhow... yeap, they're similar, thus, use proportions to get "x" :)

OpenStudy (anonymous):

help help needs the help

OpenStudy (jdoe0001):

|dw:1456704682184:dw|

OpenStudy (anonymous):

84/7 is 12 (the proportion) but my options are a)144 b)128 c)108 and d)136 for x and anything subtracted by156 will make it smaller than x and thus doesnt make sense? because it has to be 12x greater than x @jdoe0001

OpenStudy (anonymous):

ohhh! i see its rotated! ty @jdoe0001

OpenStudy (jdoe0001):

hmmm \(\bf \cfrac{AB}{DE}=\cfrac{AC}{CE}\implies \cfrac{84}{7}=\cfrac{156-x}{x}\)

OpenStudy (anonymous):

i think i did my math wring: 84x=1092-7x 77x=1092 x=14.18 @jdoe0001 none of my options is that

OpenStudy (jdoe0001):

77x?

OpenStudy (anonymous):

84x-7x=77x @jdoe0001

OpenStudy (jdoe0001):

hmmm

OpenStudy (anonymous):

oh i see i was supposed to add dgnfjkrbgeaorbgja ty @jdoe0001

OpenStudy (jdoe0001):

yeap

OpenStudy (jdoe0001):

\(\bf \cfrac{AB}{DE}=\cfrac{AC}{CD}\implies \cfrac{84}{7}=\cfrac{156-x}{x} \\ \quad \\ 84x=1092-7x\implies 91x=1092\implies x=\cfrac{\cancel{1092}}{\cancel{91}}\implies x=12\)

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