The weight of an object on Earth varies directly with the weight of the same object on planet Boondin. An object that weighs 314 pounds on
planet Boondin would only weigh 70 pounds on Earth. How much
would an object that weighs 105 pounds on planet Boondin weigh on
Earth?

approx. 23.4076433 pounds; ~23.41 pounds

Step-by-step explanation:

to find this out we must first find the ratio

314:70 is the ratio

this can be simplified to

157:35

this number is basically saying that an object on boondin weighs approximately 4.48571429 more than on Earth

so we could divide 105 by 4.48571429

105 / 4.48571429 is 23.4076433

so on earth it would weigh about 23.4076433 pounds

rounded to the nearest hundredth is 23.41 pounds

b

step-by-step explanation:

ez

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