Respuesta :
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Answer:
5 = x
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Step-by-step explanation:
AB ≅ BC (because median cuts a line segment into two equal (congruent ≅) parts
Set up your equation now:
3 - 2x = x - 12
3 + 12 = 2x + x
15 = 3x
15/3 = x
5 = x
Step-by-step explanation:
ANSWER:
The value of x if b is the midpoint of AC, AB=3 - 2x, BC = x - 12 is 5
SOLUTION:
Given, B is the midpoint of points A and C
And given the distance values of AB and BC
i.e. AB = 3 – 2x and BC = x -12
we need to find the value of x
now, as B is the midpoint of A and C
Distance between A and B equals to Distance between B and C . So we get,
AB = BC
3 – 2x = x – 12
3 – 2x – (x – 12) = 0
3 – 2x –x +12 = 0
3 -3x + 12 = 0
-3x +15 = 0
-3x = -15
3x = 15
x = [tex]\frac{15}{3}[/tex]
x = 5
Hence the value of x is 5.
