Answer:
6) Two angles are called supplementary when their measures add up to 180 degrees. For example, two right angles are supplementary angles.
7) When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.
8) you have to plot the points on the graph and draw a line and label it with L at one point and M at another point.
9) x = 20
m < A = 65
m < B = 25
Step-by-step explanation:
9)
3x + 5 + 2x - 15 = 90
3x + 2x + 5 - 15 = 90
5x - 10 = 90
5x - 10 + 10 = 90 + 10
5x = 100
5 / 5x = 100 / 5
x = 20
A = 3x + 5
A = 3(20) + 5
A = 60 + 5
A = 65
B = 2x - 15
B = 2(20) - 15
B = 40 - 15
B = 25
Factor out the cos<span>θ:
</span>cosθ (2sin<span>θ + sqrt3) = 0
</span>Therefore, the only ways this can happen are if either cosθ = 0 or if (2sin<span>θ + sqrt3) = 0
</span>The first case, cosθ = 0 only at θ <span>= pi/2, 3pi/2.
</span>The second case, <span>(2sin<span>θ + sqrt3) = 0 simplifies to:
</span></span>sin<span>θ = (-sqrt3)/2
</span><span><span>θ = 4pi/3, 5pi/3
</span></span><span><span>Therefore the answer is A.
</span></span>
We can solve this equation by using the Square Root Method.
First, take the square root of each side of the equation:
(x-8)^2 = 144 becomes x-8 = 12
Then add 8 to both sides.
x=20
The original lawn was d. 20 feet by 20 feet.
