Solve for y. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
-65y + 19 < -2y +41

Step-by-step explanation:

-65y + 19 < -2y +41

-65 y + 2y < 41 - 19

-63 y < 22

when we divide with - 63 we flip the inequality

y > - 22/63

14

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