Answer:
x = 14
Step-by-step explanation:
10x - 33 + 4x + 17 = 180
14x - 16 = 180
14x = 196
x = 14
The sum of two vectors is (- 0.5, 10.1)
<u>Explanation:</u>
To add two vectors, add the corresponding components.
Let u =⟨u1,u2⟩ and v =⟨v1,v2⟩ be two vectors.
Then, the sum of u and v is the vector
u +v =⟨u1+v1, u2+v2⟩
(b)
Two vectors = ( 3, 4 )
angle 2π/3 = 120°
In x axis, the vector is = 7 cos 120°

In y axis, the vector is = 7 sin 120°
= 7 X 0.866
= 6.062
The second vectors are ( -3.5, 6.062)
Sum of two vectors = [( 3 + (-3.5) ), (4 + 6.062)]
= (- 0.5, 10.1)
Answer : ∠map = 
∠mac = 
Explanation:
Since we have given that
∠map and ∠mac are linear pairs
So their sum wiil be supplementary
i.e. ∠map+∠mac=
;

So, ∠map = 
and ∠mac = 