Which value of x makes the following equation true? 5 x + 3 x = 72 x

I might be wrong

Step-by-step explanation:

x= 9? sorry if that's wrong

x =9

Step-by-step explanation:

take off the x

add 5+3=8

divide 72 by 8

answer is 9 so x=9

you can double check by multiplying 5×9 then 3×9 then adding your answers together to give you 72

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

the correct answer would be the third option