The scale on a map is 1 cm : 6.5 mi. the actual distance between amelia's school and her house is 45 miles. how far apart are they on the map?

about 6.9 cm

Step-by-step explanation:

Set up a proportion to solve this problem.

1 cm is to 6.5 miles as x cm is to 45 miles

1/6.5 = x/45           now solve for x by cross multiplying

45 = 6.5x

45/6.5 = x    

  6.923076923 cm = x

idk

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