You purchased paint for the rooms in your house. you have 1.5 cans of paint left. you painted 4 rooms and each room required 2 cans of paint. you spilled 1/2 of a can of paint. how many cans of paint did you purchase?

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

the answer is a if my teacher taught me correct

central angle of a triangle has the same measure as its intercepted arc.

step-by-step explanation: