Check all of the points that are solutions to the system of inequalities. y> 4x + 2
y< 4x + 5
A. (5, 26)
B. (-4, 20)
C. (4,21)
D. (5,24)

A. = False

B. = False  

C. =  True

D. = True

Hope this helps

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