The table shows the gallons of fuel remaining after a car
travels a certain distance in miles.
the change in fuel remaining from one row to the next
in the table is (. )gallon(s).
the change in distance from one row to the next in the
table is(. )mile(s).
the slope of the line that runs through the points given
in the table is(. )
the slope indicates a(. )

step-by-step explanation:

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

10.4 inches

step-by-step explanation:

2x2x2.6