Triangle R Q S is cut by line segment T U. Line segment T U goes from side Q R to side Q S. The length of Q T is 32, the length
of T R is 36, the length of Q U is 40, and the length of U S is 45.
Use the converse of the side-splitter theorem to determine if T R is parallel to R S. Which statement is true?
Use the converse of the side-splitter theorem to determine if T R is parallel to R S. Which statement is true?
2 answers:
Answer:
the first statement is true
Step-by-step explanation:
The side- splitter states that if the line is parallel to a side of the triangle and it intersects the other 2 sides, it divides those sides proportionally.
Thus the converse is that if the sides are proportional then the side TU is parallel to the side RS
Calculating the ratios
=
=
=
=
Since the ratios are equal then TU is parallel to RS
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Answer:
The correct option is Mean and standard deviation.
Step-by-step explanation:
The data set provided, arranged in ascending order is:
S = {0 , 0 , 0 , 1 , 1 , 1 , 1 , 1 , 1 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 4 , 4}
Now, it is provided that Macy was absent when the data was collected and the class guessed she had 4 siblings. When she returned, they found out she actually has 9 siblings.
So, the new data set is:
X = {0 , 0 , 0 , 1 , 1 , 1 , 1 , 1 , 1 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 4 , 9}
The mean of a data set is the average value representing the entire data.
The median is the middle value of the data set.
The inter-quartile range is the difference between the first and the third quartile.
The standard deviation is the value that represents how dispersed the data values are.
From all the above statistic, the mean and standard deviation are the only ones that uses all the observations in the data set to compute their value.
So, on changing one of the 4s by a 9, the set of measures that will be affected are the mean and standard deviation.
Thus, the correct option is Mean and standard deviation.