The Definition of Linear Pair states that both ∠ABC and ∠CBD are equal to 180 degrees. In the question, this tells you that
m∠ABC and m∠CBD = (3x − 6).
So, you're equation should be (3x - 6) + (3x - 6) = 180.
You would then solve to get 6x - 12 = 180, 6x = 192, x = 32
x=32, and we used the Linear Pair Theorem (C)
Since volume equals LxWxH it is 6x6x6= 216
Let us find the slopes of the two lines
ax+by=c, slope m1 = -a/b
bx-ay=c, slope m2 = b/a
m1*m2 = (-a/b)(b/a) = -1
Therefore the two lines are perpendicular so the answer is D
Answer:
Hey there! here's your answer
Step-by-step explanation:
Speed = distance/Time
Speed = 3/5 ÷ 1/2
Speed = 3/5 * 2
Speed = 6/5 mph or 1.2 mph.
Cosine(angle) = adjacent leg/ hypotenuse
Cosine( angle ) = 18/20
Angle = arccos(18/20)
Angle = 26 degrees