Sylvia bought candy boxes in the shape of a square pyramid to use for party favors. The side length of each box is 5.5 inches, and the height is 6 inches. Sylvia wants to fill each box with 120 pieces of candy. If each piece of candy is 0.5 in3, will Sylvia be able to fit 120 pieces of candy into each box?

angle addition postulate

2x=56

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

where are the graphs?

step-by-step explanation:

there is no picture in order for this question to be answered