Assemble the proof by dragging tiles to the statements HELLPPPPPP PLEASEEEE
2 answers:
Answer:
See explanation
Step-by-step explanation:
1. - given
2. - definition of midpoint (the midpoint of the segment divides the segment into two congruent segments)
3. - corresponding angles theorem (corresponding angles theorem states: If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.)
4. - SAS (SAS 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 these two triangles are congruent).
You might be interested in
Given:
A regular polygon with three vertices and side 14 cm.
To find:
Area of the regular polygon.
Solution:
We know that, a regular polygon has equal sides and equal interior angles.
The given regular polygon has three equal sides, it means it is an equilateral triangle.
The area of an equilateral triangle is:
Where, a is the side length of the triangle.
Putting , we get
Therefore, the area of given regular polygon is 84.9 cm².
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.
