Neptune has a diameter of about 3 x 10^4 miles. Earth has a diameter of about 8 x 10^3 miles.
Earth's diameter is about__
the size of Neptune's diameter.
2.67 times
37.5 times
0.267 times
26.7 times

0.267 times

Step-by-step explanation:

(8×10³) ÷ (3×10⁴) = 0.2666666667

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

explanation:

step-by-step explanation: