Answer:
7√2
Step-by-step explanation:
Knowing that the angle is 45° (or π/4 radians) and the opposite leg has a length of 7, you can find the length of b with:
7 / b = sin(π / 4)
7 / (sin(π / 4)) = b
b = 7 / (1 / √2)
b =7√2
A simpler way to get the answer is to note that a right triangle with one 45° angle must be an isoceles right triangle, so both legs are the same length. Using the Pythagorean Theorem:
a² + 7² = b²
Since we know a = 7,
7² + 7² = b²
b = √(2 * 49)
b = 7√2
The answers would be A & E, or, 90° clockwise and also 270° counterclockwise:)
Answer: A, Corresponding; Vertical
Step-by-step explanation: The answer for angles 1 and 5 are Corresponding Angles (Elevator Angles) and angles 1 and 4 are Vertical Angles.
All Angles besides a Linear Pair and Same-Side Interior Angle are Congruent.
The trapezoid has two parallel sides
Answer:
a

b

Step-by-step explanation:
From the question we are told that
The number of bootstrap samples is n = 1000
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally the percentage of values that must be chopped off from each tail for a 95% confidence interval is mathematically evaluated as

=> 
Generally the number of the bootstrap sample that must be chopped off to produce a 95% confidence interval is

=> 
=> 