Answer:
first box is parallel
Second box perpendicular
Third box neither
Fourth box neither
Fifth box perpendicular
Sixth box is parallel
Why? Slopes of parallel lines are the same. Slopes of perpendicular lines are opposite reciprocals. (Example slope=1/2 a perpendicular line would be -2/1). Neither is just a when it’s not either parallel or perpendicular.
Hope this helps
Answer:
25
Step-by-step explanation:
We can use the Pythagorean theorem to determine the length of the hypotenuse
a^2 + b^2 = c^2
15^2 + 20 ^2 = c^2
225 + 400 = c^2
625 = c^2
Take the square root of each side
sqrt(625) = sqrt(c^2)
25 = c
Alright! So to solve these questions, you need to find out the difference. You can use ratios to solve this. For example, question #25:
A class had 30 pupils at the beginning of this school term, but now has 5 more pupils. What is the percent of increase?
The question is basically asking how much 5 is in ratio to 30. So just divide 5 (the given amount) by 30 (the total amount). The answer is 0.16, or 16%
The mean proportion is p = 36/120 = 0.3.
The standard deviation of the proportion will be sqrt(p*(1-p)/n) = sqrt(0.3*0.7/120) = 0.0418. We multiply this by the z-score of 1.645 to get a deviation of 0.0688.
Therefore, the confidence interval is (0.3 - 0.0688, 0.3 + 0.0688), which is
(0.2312, 0.3688).
The least common multiple (or LCM) of 9 and 12 is 36
