10x-7-4x=41 Please solve for x and show your work
1 answer:
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Answer:
Box-plot = {54, 65, 69, 73, 76}
Step-by-step explanation:
The data provided for the number of desks on each floor of Texter Corporate is as follows:
S = {54, 60, 65, 66, 67, 69, 70, 72, 73, 75, 76}
There are a total of <em>n</em> = 11 floors.
A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,
- Minimum (shown at the bottom of the chart)
- First Quartile (shown by the bottom line of the box)
- Median (or the second quartile) (shown as a line in the center of the box)
- Third Quartile (shown by the top line of the box)
- Maximum (shown at the top of the chart).
Arrange the data in ascending order as follows:
S': = {54 , 60 , 65 , 66 , 67 , 69 , 70 , 72 , 73 , 75 , 76}
The minimum value is:
Minimum = 54
The maximum value is:
Maximum = 76
As there are odd number of values the median is the middle value.
Median = 6th value = 69
The first quartile is the median of the first half of the data.
S'₁ = {54 , 60 , 65 , 66 , 67}
First quartile = 3rd value = 65
The third quartile is the median of the second half of the data.
S'₂ = {70 , 72 , 73 , 75 , 76}
Third quartile = 3rd value = 73
Thus, summarized data for the box plot is:
Box-plot = {54, 65, 69, 73, 76}
The box plot is attached below.
Answer:
Option d is correct.
Vertical angles are congruent;
SAS
Step-by-step explanation:
Given: ,
In ΔNKJ and ΔMLK
and [Side] {Given}
Vertical angles states that the two lines intersect to make an X, angles on opposite sides of the X are called vertical angles.
i.e and
are vertical angles.
Also, vertical angles are congruent.
[Angle] [Vertical angles are congruent]
SAS(Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
then, by SAS postulates;
Hence proved!
Therefore:
Statement Reason
1. ,
Given
2. Vertical angles are congruent
3. SAS