Answer:
x = 146°
Step-by-step explanation:
parallelogram property
x + 34 = 180
x = 146
Answer:
(D) 0.20
Step-by-step explanation:
There are 5 questions in the quiz.
Each question has 4 options to pick from
The student guesses at random for each (and every) question.
Find the probability that the student has only 1 correct answer.
- Focusing less on the "4" options and more on the "5" questions in the quiz, the probability that the student has only 1 correct answer out of 5 is
1/5 = 0.20
Answer:
the probability that the x-coordinate of the point is negative and the y-coordinate of the point is positive is 16.36%
Step-by-step explanation:
Assuming that each point has the same probability to be chosen ( uniform probability distribution in the rectangle area ) then the probability of choosing a negative x-coordinate and positive y-coordinate is the ratio of the area with those requirements over the total area of the rectangle.
therefore
Ar= area of negative x-values and positive y-values = (-3)*6 = 18
AT= total area of the rectangle = [8-(-3) ]*[6-(-4)] = 110
then
probability = Ar/AT = 18/110 = 0.1636 = 16.36%
Answer:
y=1/3x+5
Step-by-step explanation:
Answer:
≈ 6.16
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = C(5, - 5) and (x₂, y₂ ) = D(7, 3)
d = √ (7 - 5)² + (3 + 5)²
= √ 2² + 8² = √ 4 + 64 = √68 ≈ 6.16 ( to 2 dec. places )
