Answer:
Steps shown below
Step-by-step explanation:
We will simplify this using definitions and identities. Let's start.

Using
, we have:

Using
, we have:

Hence, proved.
Answer:
F=25
Step-by-step explanation:
10x+15=30x-5
15=20x-5
20=20x
1=x
30(1)-5
30-5
25
Answer:
i think its:
2, 3, 1
or
1, 3, 2
the first and last look similar
Answer:
A.
and 
Step-by-step explanation:
Given:
Vertices of triangle RST are
and
.
Rotation is 90° about the center O(0,0). The rotation is counter-clockwise as the angle of rotation is positive.
Now, the co-ordinate rule for 90° rotation counter-clockwise is given as:
→ 
and
values interchange their places with
becoming negative when interchanged.
So,
→ 
→ 
→
⇒
→ 
Therefore, the image of the vertices are
and
.