Answer:
Θ ≈ 58°
Step-by-step explanation:
using the Cosine Rule in the triangle
cosΘ = 
= 
= 
= 
, then
Θ = 
( ) ≈ 58° ( to the nearest degree )
does this help
The coordinates of D are (-3, -7)
First we need to find the coordinates of B. In order to do that we simply take the average of the two points that make up the segment for which it is the midpoint (A and C).
Average of x's
-9 + -1 = -10/2 = -5
Average of y's
-4 + 6 = 2/2 = 1
Therefore, the coordinates of B are (-5, 1).
Now we can find D by noting the E will be the average of B and D. So we can use the average equation to determine the values of D.
Average of x's
(B + D)/2 = E
(-5 + D)/2 = -4
-5 + D = -8
D = -3
Average of y's
(B + D)/2 = E
(1 + D)/2 = -3
1 + D = -6
D = -7
Now we know the coordinates of D to be (-3, -7)
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola<span>. We determine as follows:
y = 2x^2 - 4x + 1
</span>
y = a(x – h)2<span> + k
</span>
y = 2(x^2 - 2x) + 1
y = 2(x^2 - 2x + 1) + 1 - 1
y = 2(x - 1)^2
Therefore, the line of symmetry passes through the vertex ( 1, 0) with an equation x = 1.
Answer:
Step-by-step explanation:
According to the Parallelogram definition, every Parallelogram have a pair of congruent sides. In this case, Namely 
and 
(not listed as an option)
And the opposite angles are congruent too.
So
