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Sav [38]
2 years ago
10

1.sum of three consecutive even numbers is 12 the number are0,5,71,3,82,4,6​

Mathematics
2 answers:
ch4aika [34]2 years ago
4 0

Answer:

The third number is two more than the second number, so it is x+2+2, or simply x+4. Solve for x by combining like terms. The first number is 2, the second is 4, and the third is 6. When we add them together, we have 2+4+6=12.

seropon [69]2 years ago
4 0

Answer:

2,4,6

Step-by-step explanation:

first consecutive even number is X , then X+ 2 and X+4

sum = X + X+ 2 + X +4 = 12 then solve

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For each side we calculate the squared distance and the slope.  We don't have to bother to take the square root.  We'll subtract the points first because that difference, called the direction vector, goes into both the calculation of the slope and of the distance.

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BC=C-B=(-6, 1).  slope=1/-6=-1/6.   BC²=(-6)²+1²

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We see the negative reciprocal slopes, alternating between 6 and -1/6, indicating perpendicular sides.  We see they all have squared distance 37.  Equal perpendicular sides proves its a square.

If we do these problems enough we learn:  There's no point taking the square root.  In fact, there's really no point computing the slopes and the squared distances; we can see it's a square from the pattern of the direction vectors of the sides:  (-1, -6) (-6, 1) (1, 6) (6,-1)

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