This one might not look familiar yet, but it's very similar to the distance problems you've already seen. My car gets 22 miles per gallon. How far can my car travel on 8 gallons of gas?

Question 5 options:

0.36 miles

2.75 miles

30 miles

176 miles

give more details

step-by-step explanation:

ab will be equal to

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

probably the last option

step-by-step explanation: