Ineed asap answering this daniel is working hard to improve his math. his goal is to have a total of 145 pointd for the quarter so that he can earn a b on his report card. his total quiz points is 89 points, so his homework total is 23.5 points. how many more points doee he need to reach his goal of 145 points?

the answer is d on edge

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