Find the distance between each pair of point. Round to the nearest hundredth(-8, -2) and (6, -1)
1 answer:
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Answer:
< 1 = 130°, < 2 =50°, < 3 = 50°, < 4= 30°, < 5 = 70°, < 6 = 50°, < 7= 60°, < 8 = 40°, < 9 = 40°, < 10 = 50°, < 11 = 50°, < 12 = 130°, < 13 = 140°, < 14 =40° , < 15 = 140°
Step-by-step explanation:
< 4 = 90- 60 = 30° because angle 4 and angle 60° are complementary
< 5 = 70°, because vertical angles are congruent
< 2 = 180-130 = 50 °, because 130 ° and 2 are a linear pair
< 6 = 180-130 = 50 °, because 130 ° and 2 are a linear pair
because < 2 = < 6 and are alternate exterior angles then two lines are parallel
<13 = 140°, corresponding angles
< 13 = < 15 = 140°, vertical angles
< 8 = < 9 = < 14 = 180-140 = 40°, linear pair and vertical angles
< 3 = 180-90-40= 50 °, because the sum off all angles in a Δ is 180°
< 3= < 10 = < 11 =50° vertical angles , and corresponding angles
< 7= 180 -70 -50 = 60°, because the sum off all angles in a Δ is 180°
<1 = <12 = 180 -50 = 130°, linear pair and vertical angles
Answer:
PS=
Step-by-step explanation:
Given : PQRS is a trapezoid on a coordinate plane P(7,4) Q(10,4) R(13,-1) S(8,-1).
To find:: Length of the side PS
Solution : Using the distance formula, we can find the length of the side PS, therefore
PS=
PS=
PS=
PS=
PS=
which is the required length of the side PS.
Answer:
The sample mean is min.
The sample standard deviation is min.
Step-by-step explanation:
We have the following data set:
The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.
The formula for the mean of a sample is
where, is the number of values in the data set.
The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.
To find standard deviation we use the following formula
The mean of a sample is .
Create the below table.
Find the sum of numbers in the last column to get.
