Answer:
it is true
Step-by-step explanation:
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
The dot plot that corresponds to the given data is the second dot plot
The frequency and the percent frequency distribution are shown below
<h3>
Frequency distribution</h3>
The given data is
5.6 9.9 11.3 7.5 10.0 11.9 13.2 13.8 10.0 11.9
6.5 9.0 11.2 10.9 14.6 7.2 10.0 6.0 15.8 11.3
From the question, we are to construct a dot plot
Among the given options, the dot plot that corresponds to the given data is the second dot plot
b) We are to construct a frequency distribution
The frequency distribution table is shown below
Class Frequency
6.0 - 7.9 4
8.0 - 9.9 2
10.0 - 11.9 9
12.0 - 13.9 2
14.0 - 15.9 2
Total 19
b) We are to construct a percent frequency distribution
The percent frequency distribution table is shown below
Class Percent Frequency
6.0 - 7.9 21.1%
8.0 - 9.9 10.5%
10.0 - 11.9 47.4%
12.0 - 13.9 10.5%
14.0 - 15.9 10.5%
Total 100%
The frequency and the percent frequency distribution are shown above
Learn more on Frequency distribution here: brainly.com/question/1094036
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Answer:
x =
and y = 
Step-by-step explanation:
Known that he sum of angles on a straight line is
. From the diagram;
2y + x + y = 
x + 3y =
................ 1
Also,
2x + x + 2y = 
3x + 2y =
.............. 2
Using the elimination method, multiply equation 1 by 3 and equation 2 by 1
3x + 9y = 540 ............ 3
3x + 2y =
............. 4
7y = 360
y = 
y = 
substitute the value of y in equation 1,
x + 3y = 
x + 3(51.4) = 
x + 154.2 = 
x =
- 154.2
x = 
Thus, x =
and y = 
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Answer:
x = 1
Step-by-step explanation:
6(x+4)=30 (divide both sides by 6)
(x+4) = 30/6
x+4 = 5 (subtract 4 from both sides)
x = 5 - 4
x = 1