Kylie is on a vacation with her family. She has to travel 48 miles to reach her destination. She has already traveled 16 miles. How much farther does she have to travel? Write an equation using the variable x:
Solve the equation x=

32 miles

Step-by-step explanation:

I just took away 16 from 48 and I got 32

16 + x = 48; x = 32 miles

Step-by-step explanation:

because the total is 48 miles that is on the right with an equal sign to the left of it

the x represents how much left she has to travel

she already traveled 16 miles so you add that to x on the left

16 + x = 48

then you can subtract 16 on both sides and be left with 32 miles

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