<h3><em>Hey there today we will solve your problem,</em></h3>
Number 1
_______________
<h3>Definitions</h3>
- Vertical angles - <em>either of two angles lying on opposite sides of two intersecting lines.</em>
<em />
- Linear Pair - <em>A linear pair is a pair of adjacent angles formed when two lines intersect.</em>
_______________
Now we can solve Number 1, there is one pair of Vertical angles being ∠5 and ∠3
_______________
Number 2
Since we know the definition of a Linear Pair we can solve this problem also, the only Linear Pair that we can choose out the ones give to us is ∠4 and ∠3, because they are adjacent.
_______________
- ∠5 and ∠3
2. ∠4 and ∠3
The answer is :
-4.472135...
Arc length = radius * central angle (measured in radians)
There are
<span>
<span>
<span>
57.2957795131
</span>
</span>
</span>
degrees per radian so
45 degrees = (45 /
<span>
<span>
<span>
57.2957795131) = </span></span></span>
<span>
<span>
<span>
0.7853981634
</span>
</span>
</span>
radians<span><span>
</span>
</span>
radius = arc length / central angle (radians)
radius = 6.5 / <span>
<span>
0.7853981634
</span>
</span>
radians =
<span>
<span>
<span>
8.2760570408
</span>
</span>
</span>
cm
http://www.1728.org/radians.htm
Answer:
(I rotated the trapezoid on the origin)
T' (-2, 2)
R' (-2, 5)
A' (-6, 2)
P' (-7, 5)
Step-by-step explanation:
The original points of the trapezoid were (2, -2), (2, -5), (6, -2) and (7, -5). Flipping trapezoid TRAP on the origin has the x and y coordinates showing their opposites from the original. So, find the opposite of each x and y coordinate to get the coordinates of the rotated trapezoid T'R'A'P'.
9 to the 3 half power is 27. Hope that's what your wanting to know.
<span />
