Answer:
x=23°; θ=87°
Step-by-step explanation:
These two angles create what is known as supplementary angles, or 2 angles that add up to 180°. We know this because all horizontal lines are 180° on either side. Since we know the total value of these two angles should equate to 180°, we can set up a simple equation:

Now, using algebra, we can solve for x:



Plugging x back into the equation, we get:

Therefore, the total angle is equal to 87° and x is equal to 23°.
Hope this helps!
Answer:
See Explanation;
Step-by-step explanation:
The given vectors are;
and 
a) To add or subtract two vectors, we add or subtract their corresponding components









b) See attachment for graphs(1,6
Answer:
<h2>39.27 cm²</h2><h2 />
Step-by-step explanation:
area of semi circle = π r² / 2
where r = 10/2 = 5 cm
area = π (5)² / 2
= 39.27 cm²
The correct answer is {1, 2, 5, 6}.
A intersect B would be {3, 4}; the complement of this is everything else.
First, rewrite the equation in standard form.
The center-radius form of the circle equation<span> is in the format:
(x – h)^</span>2<span> + (y – k)^</span>2<span> = r^</span>2
<span>with the center being at the </span>point<span> (h, k) and the radius being "r".
</span>
(x-3)^2 + (y+4)^2 = 81
From here, you can determine the center and radius. The center is at (3,-4) and the radius is 9.