Answer:
A. p = 32°
Step-by-step explanation:
Corresponding angles are angles that are formed when a transversal intersects two parallel lines. They are located on the same side of the transversal in corresponding positions.Corresponding angles are always congruent to each other.
In this case:
90° and (3p - 6)° are corresponding angles.
So, they are equal.
We can write it as:
90° = (3p - 6)°
Add 6 on both sides.
90 + 6 = 3p - 6 + 6
96 = 3p
Divide both sides by 3.
32° = p
Therefore, answer is:
A. p = 32°
Answer:
A
Step-by-step explanation:
given a pair of parallel lines , then
3p - 6 and right angle ( indicated by box ) are corresponding angles and are congruent , then
3p - 6 = 90 ( add 6 to both sides )
3p = 96 ( divide both sides by 3 )
p = 32
Answer: These Lines are Parallel
Step-by-step explanation: For two lines to be parallel, they must have the same slope with different y-intercepts. Both of the lines above have a slope of 3 and differing y-intercepts of 4 and -5. Therefore, these lines must be parallel to one another.
Answer:
one sec sorry
Step-by-step explanation:
It looks like it is homogenous because if you divide through by \[t^2\] it will be \[y/t\] all over. Also if it's a bernoulli, wouldn't \[v=y\], which isn't very useful. Any thoughts?
Answer:
1.5
Step-by-step explanation:
The question is incomplete due to the probability distribution table, investigating you can find it so I will attach it.
Having the table, we need to find the mean of the probability distribution, which is defined as the sum of the product of probability and value of random distribution, that is:
M = Sum (xi) * P (xi)
We replace:
M = 0.5 * 0.07 + 1 * 0.2 + 1.5 * 0.46 + 2 * 0.2 + 2.5 * 0.07
M = 1.5
Therefore, the mean of the given table is 1.5
Answer:
(6, -3) and -3 = -3
Step-by-step explanation:
I did it
Answer:
(6, -3) and -3 = -3
Step-by-step explanation:
The angle of elevation of the sun is approximately 40 degrees
The scenario forms a right angle triangle.
The height of the tree is the opposite side of the right angle triangle formed .
The shadow casted on the ground is the adjacent side of the triangle.
Therefore, using trigonometric ratio, the angle of elevation can be found as follows:
height of the tree = 109 ft
length of the shadow = 130 ft
let
the angle = ∅
tan ∅ = opposite / adjacent
tan ∅ = 109 / 130
∅ = tan⁻¹ 0.83846153846
∅ = 39.978520842
∅ ≈ 40°
learn more on trigonometry here: brainly.com/question/24303045