Mrs. Arnold is serving hamburgers to her family at six tonight for dinner she uses 1/2 pound of ground meat for each hamburger patty she buys a package of meat that weighs 50 ounces will Mrs. Arnold have enough meat explain

Yes

Step-by-step explanation:

1/2 pound= 8 ounces

50/8=6.25

six burgers with some meat leftover.

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