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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:
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = 2(L + W)
Where
L represents the length of the rectangle.
W represents the width of the rectangle.
A proper rectangle has a length of 6 inches and a with of 8 inches. The area of the rectangle would be
6 × 8 = 48 inches^2
A square with a side length of 3 inches was cut of it. The formula for determining the area of a square is l^2
Therefore,
Area of square = 3^2 = 9 inches ^2
The area of the remaining paper would be
48 - 9 = 39 inches^2
Eight and ninety-seven hundredths
Correct option is C. Mr. Beebe’s statement, "The water-tight . . . bad"
(lines 9-11), suggests that Lucy will one day begin to live with great passion
Mr. Beebe is of the opinion that playing the piano 'wonderfully' but preferring to live quietly reflects an inconsistency in Lucy Honeychurch's character. He believes that someday these two traits of her will mingle.
He says that when the 'water-tight compartments in her will break' and the two traits of playing piano but preferring to live quietly will mingle; only then will she live life to the fullest. Thus C is the best answer.
The lines were -
The water-tight compartments in her will break down, 10 and music and life will mingle. Then we shall have her heroically good, heroically bad—too heroic, perhaps, to be good or bad.”
To learn more about passage from given link
brainly.com/question/12555695
#SPJ4
By using the pythogrean theorem
root 18^2-9^2 = 15.58 ~ 15.6
