<span>Quadrilateral ABCD is a parallelogram because both pairs of opposite sides are parallel.
Slope of a line is defined as the difference in Y divided by the difference in X. It doesn't matter which way you do the subtraction as long as you do it in the same order for both X and Y. So let's calculate the slope of AB
A(-5,1)
B(-2,5)
(1 - 5)/(-5 - (-2)) = -4/-3 = 4/3
Slope BC
B(-2,5)
C(5,3)
(5-3)/(-2-5) = 2/-7 = -2/7
Slope CD
C(5,3)
D(2,-1)
(3-(-1))/(5-2) = 4/3
Slope AD
A(-5,1)
D(2,-1)
(1-(-1))/(-5-2) = 2/-7 = -2/7
So our slopes are 4/3, -2/7, 4/3, and -2/7
Since the slopes of AB and CD are identical, those lines are parallel. And since the slopes of both BC and AD are identical, those 2 lines are also parallel. But since 4/3 * -2/7 = -8/21 which is NOT -1, that means that lines AB and BC are NOT perpendicular, so you don't have a rectangle. But you do have a parallelogram because both pairs of opposite sides are parallel.</span>
10) S is the midpoint of RT.
Sx= Rx+Tx/2=2
Tx=13
Sy=Ry+Ty/2= -1
Ty= -1
T=(13,-1)
11) Sx=Rx+Tx/2=-4
Rx= -1
Sy=Ry+Ty/2= -6
Ry= -9
R=(-1,-9)
12)B is midpoint of AC.
Bx= Ax+Cx/2=-5
By= Ay+Cx/2= 1
B=(-5,1)
E is midpoint of BD.
Ex= Bx+Dx/2=-4
Dx=-3
Ey=By+Dy/2=-3
Dy=-7
D=(-3,-7)
Answer:
The size of the figure is still the same, but the positioning on the coordinate grid is different.
Step-by-step explanation:
Answer:
25 cm
Step-by-step explanation:
where r is the radius of the circle
Plug in the given radius (4 cm)
Therefore, the circumference of the opening is approximately 25 cm.
I hope this helps!
Answer: I would say 45 degree angle
Step-by-step explanation:Hypotenuse, opposite, and adjacent. In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle.