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~ ☆
Step-by-step explanation:
Angle of a circle = 360
x + 90 + 84 + 16 = 360
x + 190 = 360
x = 170°
So first let’s find the area of the rectangle. The formula for finding the area of a rectangle is A=l x w.
The length is 10ft and the width is 8ft.
A=10ft x 8ft=80ft^2
The area of the rectangle is 80ft^2.
Now let’s find the area of the triangle. The formula for finding the area of a triangle is A=h x b/2. Both the height and the base of the triangle is 4ft.
A=4ft x 4ft/2=8ft^2.
The area of the triangle is 8ft^2.
Now to find the area of the entire shape. Add the area of the rectangle and the area of the triangle.
80ft^2+8ft^2=88ft^2
The total area of the shape is 88ft^2.
Answer:
B
Step-by-step explanation:
The Pythagoras theorem states that 
, where 
is the hypotenuse and a and b are the adjacent and opposite sides of the hypotenuse. If we made 
the subject of the expression, the expression will be re-written as 
, which is the correct answer.
A right angled triangle is a traingle with equal sides and the same size angles acute angles are normally in iscoceles triangle and are less than 90 degrees obtuse normally can be on a line or in a scalene triangle it’s more than 90 degrees but no more than 180 degrees
