Can someone explain this geometry problem to me?

Question

lolokrat · Answer

attachment

lolokrat · Answer

and this one?

Vocaloid · Answer

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Vocaloid · Answer

applying this logic to your problem

QT/TR = QU/US
5/4=x/6
cross-multiplying will give you 7.5

lolokrat · Answer

ohh i kept setting it up as 5/4=6/x

lolokrat · Answer

why would the x be the numerator?

Vocaloid · Answer

similar logic with the other one

TQ/TR = QU/US
they don't give you US but you can derive it

QU + QS = QS
10 + US = 15
therefore US = 5

going back to the original statement
TQ/TR = QU/US
(x+1)/(x-1) = 10/5
cross-multiplying gives x = 3

Vocaloid · Answer

oh

in that other problem x is the numerator because you're trying to find QU, and QU goes in the numerator of the proportion according to how it's supposed to be set up
I just used x instead of QU

lolokrat · Answer

oh
that makes sense

lolokrat · Answer

thank you

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