If B is the midpoint of AC, then |AB| = |AC|.
|AB| = 3x + 2
|BC| = 5x - 10
Therefore we have the equation:
3x + 2 = 5x - 10 |subtract 2 from both sides
3x = 5x - 12 |subtract 5x from both sides
-2x = -12 |divide both sides by (-2)
x = 6
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The distance between the 2 points is approximately 8.25
It would be a straight line
3/15=2/n
Multiply up and down
3*n, 15*2= 3n and 30
Divide by 3 for 3n and 30
3n/3=30/3
n=10
Check answer by using substitution method
3/15=2/n
3/15=2/10
Reduce by 3 for 3/15, Reduce by 2 for 2/10
3/15=1/5
2/10= 1/5
Answer is n=10- G
Answer:
Volume_stack = 214 n^3
Step-by-step explanation:
The volume of the stack is the sum of the volume of the two boxes
The rectangular box has a volume of
V_rectbox = long*wide*height
V_rectbox = 6 in * 5in * 5 in = 150 in^3
The volume of the cube is
V_cube = long*wide*height , but since all its sides are equal
V_cube = side^3 = (4 in)^3 = 64 in^3
Volume_stack = V_rectbox + V_cube = 150 in^3 + 64 in^3
Volume_stack = 214 n^3
