Answer: x = 15
Step-by-step explanation:
Vertical angles are equal so we can set 47 = 3x + 2
Now just solve the equation for x
47 = 3x + 2
Subtract 2 from each side
45 = 3x
Divide both sides by 3
15 = x
Answer:
Resultant vector of two vectors is (0, 0).
Step-by-step explanation:
in this question two vectors having ordered pair (-6, 5) and (6, -5) have been given.
We can represent these vectors in the form of

and 
Now the resultant of these vectors will be = A + A'
A + A' =
+ 
So the resultant vector = (0 + 0)
Therefore the resultant will be (0, 0)
The answer is 14+8.125π units².
Notice the following pattern:
2 - 0 = 2
6 - 2 = 4
12 - 6 = 6
20 - 12 = 8
It's reasonable to assume that consecutive terms in the sequence differ by increasing multiples of 2, so that for the next number (call it x) we expect to see
x - 20 = 10 ==> x = 30
and for the number after that (call it y) we would see
y - x = y - 30 = 12 ==> y = 42