If you like to ride your bike, then you are in good shape.
if you are in good shape, then you can ride 25 miles.

what conclusion can you make from the given statements? which law did you use to come up with your conclusion?

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

60 for the first and 130 for the second

step-by-step explanation: