. If 4 is added to the numerator of the fraction 2
5
what number must be added to the denominator to make the
fraction equivalent to
?​

i believe it is c.y = 9x

rise over run. 9 units up over 1 unit right or 9/1

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

1/6

step-by-step explanation:

x = 3 ± √(5+y)