X2 + x - 6 = 0 a. -2, -3 b. -2, 3 c. 2, -3 d. 2, 3

r and t.

both are 64 degrees.

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

probably .5

i can on others if necessary.

answer: 0.26

i used the calculator on google