Answer:
1. D. ray PS
2. C. angle GFE
3. A. 30 deg
Step-by-step explanation:
1. To name a ray, use two points on the ray. The first point must be the endpoint. The second point can be any point on the ray.
ray PS and ray PT are both correct.
Choose D. ray PS
2. Two ways of naming an angle are: 1. Use just the vertex point. 2. Use three points: a point on one ray, the vertex, a point on the other ray in that order.
This angle can be named:
angle EFG
angle GFE
angle F
Choose C. angle GFE
3. Angles CBE and ABD are vertical angles. Vertical angles are congruent. They have the same measure. Since angle ABD measures 30 deg, then angle CBE also measures 30 deg.
Choose: A. 30 deg
1/3x+11.
1/3 of a number can be shown as 1/3x, since the number is not identified.
We can represent 11 more as +11.
This, our expression is 1/3x+11
Hope this helps!
Answer: 110
Find the prime factors of each term in order to find the greatest common factor (GCF).
Find the GCF 20+25+65
Answer:
c, a, b
Step-by-step explanation:
Given
See attachment for matrices
(a)
![D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right]](https://tex.z-dn.net/?f=D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Ccos%5Ctheta%20%26%5Csin%5Ctheta%5C%5C%20-%5Csin%5Ctheta%26%20%5Ccos%5Ctheta%5C%5C%5Cend%7Barray%7D%5Cright%5D)
The determinant of the matrix is:
Using trigonometry ratio, we have:
(b)
![\left[\begin{array}{ccc}2&0\\0&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%260%5C%5C0%262%5Cend%7Barray%7D%5Cright%5D)
The determinant of the matrix is:
(c)
![\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26i%5C%5C-i%260%5Cend%7Barray%7D%5Cright%5D)
The determinant of the matrix is:
In complex numbers
So:
<em>So, the order of the determinants is: c, a, b</em>
Yes it is indeed an integer
