Hey There!!
The answer to this is: A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Which statement about the quadrilateral is true?" Line BC is parallel to line AD because their slopes is equal i.e. (0 - 0) / (7 - 2) = (5 - 5) / (8 - 3) which gives 0 / 5 = 0 / 5 giving that 0 = 0. We check whether line AB is parallel to line CD. Slope of line AB is given by (0 - 5) / (2 - 3) = -5 / -1 = 5. Slope of line CD is given by (5 - 0) / (8 - 7) = 5 / 1 = 5 We have been able to prove that the opposite sides of the quadrilateral are parallel which means that the quadrilateral is not a trapezoid. Next we check whether the length of the sides are equal. Length of line AB is given by sqrt[(0 - 5)^2 + (2 - 3)^2] = sqrt[(-5)^2 + (-1)^2] = sqrt(25 + 1) = sqrt(26) Length of line BC is given by sqrt[(0 - 0)^2 + (7 - 2)^2] = sqrt[0^2 + 5^2] = sqrt(25) = 5 Length of line CD is given by sqrt[(5 - 0)^2 + (8 - 7)^2] = sqrt[5^2 + 1^2] = sqrt(25 + 1) = sqrt(26) Length of line DA is given by sqrt[(5 - 5)^2 + (8 - 3)^2] = sqrt[0^2 + 5^2] = sqrt(25) = 5 Thus, the length of the sides of the quadrilateral are not equal but opposite sides are equal which means that the quadrilateral is not a rhombus. Finally, we check whether adjacent lines are perpendicular. Recall the for perpendicular lines, the product of their slopes is equal to -1. Slope of line AB = 5 while slope of line BC = 0. The product of their slopes = 5 x 0 = 0 which is not -1, thus the adjacent sides of the quadrilateral are not perpendicular which means that the quadrilateral is not a rectangle. Therefore, ABCD is a parallelogram with non-perpendicular adjacent sides. Thus, For (option A).
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ItsNobody~ ☆
Answer:
i'm pretty sure 1.96×10-3 m³
is the right answer
Myles ran 2 times what alison ran:
2x21 = 42
Hector ran 5 times as many miles as Myles:
42x5 = 210
therefore Hector ran 210 miles.
20/10 is same as 20:10 so the whole number is 2
<span>Cylinder Volume = </span><span>π <span>• r² • height
</span></span><span>Cylinder Volume = 3.14 * 16^2 * 24
</span>Cylinder Volume =
<span>
<span>
<span>
19,292.</span></span></span> cubic meters
My answer is much too big for those choices.
So, I'm guessing that 16 meters is the diameter.
If that's the case, radius = 8 meters and
Cylinder Volume = 3.14 * 8^2 * 24
<span>Cylinder Volume = 3.14 * 64 * 24
</span>Cylinder Volume =
<span>
<span>
<span>
4,823.04
</span>
</span>
</span>
cubic meters
So answer is "c"
