Question

Can someone explain this geometry problem to me?

Answer 1

and this one?

Answer 2

applying this logic to your problem

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

Answer 3

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

Answer 4

why would the x be the numerator?

Answer 5

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

Answer 6

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

Answer 7

oh
that makes sense

Answer 8

thank you