if B is the midpoint of the line segment AC, AB=5x, and BC=3x+4 what is BC?
by definition of mid point, Length AB is equal to Length BC.
We know that AB = 5x, and BC = 3x+4, and we know AB==BC, so... 5x=3x+4.
you said : if B is the midpoint of the line segment AC, AB=5x, and BC=3x+4 what is BC?
You dont have AC. ..
I want you to solve 5x=3x+4. get x, then we know that BC (what you are looking for) is 3x+4.
You were NOT given the length of AC, correct?
AB and BC meet at point B right? So B is the halfway of your line segment. First: set AB and BC = to each other: 5x=3x+4 Second: solve for x. Third: go back and plug in the number you got for x
5x=3x+4 move over your 3x 5x-3x=4 so: 2x=4 x=2
AB=5x so AB=5 * 2= 10 BC=3x+4 So BC= (3*2) +4 = 6+4= 10
AB and BC are = because B is the mid point of AC So AC= 20
You're very welcome. My Math teacher the past 2 years was kinda difficult to learn from so I helped my friends a lot
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