Please help.
Determine which lines are parallel and which are perpendicular. Explain your reasoning.
Answers
Answer:
Parallel: a and b, p and q, p and r, q and r
PErpendicular: p&a, p&b, q&a, q&b, r&a, r&b
Step-by-step explanation:
Parallel lines have the same slope so both of the lines would be going in the same direction and will never cross each other.
Perpendicular lines cross at a 90 degree angle.
Technically you do not know if q&a and q&b are perpendicular because you do not know if there is a 90 degree angle
Answer:
Parallel lines are equally spaced out in the same direction so it would be p,q, and r, Purpendicular Lines intersect at a 90 degee angle so it would be q and a, q and b, r and b, and r, and so on
Step-by-step explanation:
Related Questions
Drag each tile to the correct box. Amanda, Derrick, and Todd attend the same high school. Each student works as the cashier one night a week at the school's concession stand. The number of items sold at the concession stand to the first 20 customers on three different nights is represented on the dot plots below. Find the interquartile range, IQR, for each dot plot. Then, place the students in order from greatest to least IQR.
Answers
Answer:
Amanda > Todd > Derrick
Step-by-step explanation:
Amanda's IQR- 3.5
Derrick's IQR- 2
Todd's IQR- 3
The solution is, ordering the IQR in descending order :
Emma, Sally, Olivia
What is IQR?The interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set. Whereas the range gives you the spread of the whole data set, the interquartile range gives you the range of the middle half of a data set.
here, we have,
Writing out the points obtained from the dot plot, and applying the relevant formula, the Interquartile range of each dot plot is given below ;
Writing out each score on the dot plot to calculate the statistical values :
Emma's Scores:
6 , 7 , 8 , 8 , 9 , 9 , 9 , 10 , 10 , 11 , 11 , 11 , 11 , 11 , 12 , 13 , 13 , 13 , 13 , 14
Q1 = 1/4(n+1)th term
Q1 = (5th + 6th) terms
Q1 = (9 + 9) / 2 = 9
Q3 = 3/4(n+)th term
Q3 = (12 + 13) ÷ 2 = 12.5
IQR = Q3 - Q1
IQR = 12.5 - 9 = 3.5
Sally's Scores:
6 , 6 , 6 , 7 , 7 , 8 , 8 , 8 , 9 , 9 , 10 , 10 , 10 , 10 , 10 , 10 , 11 , 11 , 12 , 12 , 14
Q1 = 1/4(n+1)th term
Q1 = (7 + 8) ÷ 2 = 7.5
Q3 = 3/4(n+1)th term
Q3 = (10 + 11) ÷ 2 = 10.5
IQR = Q3 - Q1
IQR = 10.5 - 7.5 = 3
Olivia's Scores:
6 , 6 , 7 , 7 , 7 , 8 , 8 , 8 , 8 , 9 , 9 , 9 , 9 , 9 , 10 , 10 , 12 , 12 , 13 , 14
Q1 = 1/4(n+1)th term
Q1 = (7 + 8) ÷ 2 = 7.5
Q3 = 1/4(n+1)th term
Q3 = (10 + 10) ÷ 2 = 10
IQR = Q3 - Q1
IQR = 10 - 7.5 = 2.5
Therefore, ordering the IQR in descending order :
Emma, Sally, Olivia
Learn more on IQR :
brainly.com/question/18006476
#SPJ3
complete question:
Drag each tile to the correct box.
Emma, Sally, and Olivia play for the school basketball team. The dot plots show the number of points each of them scored in 20 games.
Find the interquartile range, IQR, for each dot plot. Then, place the basketball players in order from greatest to least IQR.
Consider the geometric sequence 8,4,2,1,...
Answers
Answer:
Its A for the function that represents the geomertric sequence
Given b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C. What is the area of the triangle? Round to the nearest hundredth.
Answers
Answer:
1.73 units
Step-by-step explanation:
The area of a triangle with sides a, b, c and angles A, B, C is given as
Area = 1/2 bc sin A
Given that b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C then the area
= 1/2 * 4 * 1 * sin 120
= 2 sin 120
= 2 * √3/2
= √3
= 1.732
To the nearest hundredth = 1.73