A car can travel 400 miles on 16 gallons of gasoline. How much gasoline will it need to go 275 miles? *HELP WILL GIVE BRAINLIEST!!!*

11 miles.

Step-by-step explanation:

So x is the number of miles. This is a ratio problem, so if we had a situation like 1:2, when 1 changes 2 will accordingly change. 2:4. And 1:2 = 2:4.

So now to solve the equation. Cross multiply 16 and 275 = 4400. Cross multiply 400 and x. You'll end up with an equation like 400x = 4400. Then solve and you'll get x = 11. Hope this helps!

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

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