What is the midpoint of the line segment graphed below?
(-12-3)
(5-10)

Good evening ,

the midpoint C(-3.5 , -6.5)

Step-by-step explanation:

C(x,y)

then x=(-12+5)/2=-3.5

       y=(-3-10)/2=-6.5

Look at the photo below for more Details.

:)

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step-by-step explanation:

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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