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:
d = 40.44
Step-by-step explanation:
Simplifying
25.14 = d + (-15.3)
25.14 = d + -15.3
Reorder the terms:
25.14 = -15.3 + d
Solving
25.14 = -15.3 + d
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-1d' to each side of the equation.
25.14 + -1d = -15.3 + d + -1d
Combine like terms: d + -1d = 0
25.14 + -1d = -15.3 + 0
25.14 + -1d = -15.3
Add '-25.14' to each side of the equation.
25.14 + -25.14 + -1d = -15.3 + -25.14
Combine like terms: 25.14 + -25.14 = 0.00
0.00 + -1d = -15.3 + -25.14
-1d = -15.3 + -25.14
Combine like terms: -15.3 + -25.14 = -40.44
-1d = -40.44
Divide each side by '-1'.
d = 40.44
Simplifying
d = 40.44
Well, you have to find 2 of the same number that add together to make that middle number before the c. Then you have to multiply those 2 identical numbers together to find the value of c!——————————————————————So! For number 10, 7+7 is 14, so 7 and 7 are your two identical numbers.——————————————————————Then you have to multiply them to get c! 7•7=49, so 49 is c.——————————————————————I’ll do 11 for you as well, 12+12=24, and 12•12=144, so 144 is c.
Ur answer is c hope this helps
