9514 1404 393
Explanation:
The quadrilateral will be a parallelogram if the diagonals bisect each other. That is, their midpoints are the same point. We don't actually need to calculate the midpoint. Rather, we can calculate the point that has double the coordinate values.
If (A+C) = (B+D), the quadrilateral is a parallelogram.
A +C = B +D
(-2, 8) +(5, 1) = (2, 7) +(1, 2)
(-2+5, 8+1) = (2+1, 7+2)
(3, 9) = (3, 9) . . . . . the figure is a parallelogram
_____
Of course, the midpoint of the diagonals is (3/2, 9/2).
Answer:
1140
Step-by-step explanation:
3x(x + 2) - 3x
x = 19
3 * 19( 19 + 2) - 3 * 19
3 * 19(21) - 3 * 19
3 * 19 = 57
57(21) - 3 * 19
57 * 21 = 1197
1197 - 57
1140
Hope this helped!
Change the messy words into numerals
3 times a number minus 2 equals 13
3 × n - 2 = 13
3n - 2 = 13
take 2 to the other side
3n - 2 + (2) = 13 + (2)
3n = 15
Divide by 3 on either sides to isolate n
=
3 and 3 cancels out
n = 5
check:
3 times 5 minus 2 equals 13
3 × 5 - 2 = 13
15 - 2 = 13
13 = 13
The number is 5
Correlation coefficients whose magnitude are between 0.3 and 0.5 indicate variables which have a low correlation.<span> Correlation coefficients whose magnitude are less than 0.3 have little if any (linear) correlation.</span>