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1 answer:
Step-by-step explanation:
a) The measure of angle 7 is also 47 degrees. We know this because angle 5 and angle 7 are vertical angles and vertical angles are always equal.
b and c) Since we know that a straight line has an angle of 180 degrees and that the sum of angle 5 and angle 6 will add to this, we can use that to find the value of x like this:
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Complete question :
The data below represents the number of customers at each Slurpee Sam's Spaghetti Shop. 24, 25, 29, 30, 31, 31, 32, 34, 34. Which box plot correctly summarizes the data?
Answer:
B
Step-by-step explanation:
BOX plots provide information about :
Minimum, Lower quartile, Median, Upper quartile and maximum value of a dataset.
Given the dataset :
24, 25, 29, 30, 31, 31, 32, 34, 34
Minimum value = 24 (Lowest value in the dataset)
First quartile (Q1) = 1/4(n+1)th term
Q1 = 1/4 * 10 = 10/4 = 2.5th term = (25+29)/2 = 27
Second quartile ; median (Q2) = 1/2(n+1)th term
Q2 = 1/2(n+1)th term = 1/2(10) = 5th = 31
Third quartile (Q3) = 3/4(n+1)th term
Q3 = 3/4(n+1)th term = 3/4(10) = 30/4 = 7.5th term = (7th +8th) term = (32 + 34) / 2 = 66/2 = 33
Maximum value = 34 (Highest value in the dataset)
First dot = minimum value
Last dot = maximum value
First line of box = QI
mid line = median
End line of box = Q3
Given:
In an isosceles triangle LMN, LM=MN.
To find:
The measure of the angles L, M and N.
Solution:
In triangle LMN,
(Given)
(Base angles of an isosceles triangle are equal)
Now,
On further simplification, we get
The value of x is 13. Using this value, we get
Similarly,
And,
Therefore, the measure of angles are .