Answer:
∠1=160° and ∠2=20°
Step-by-step explanation:
Let ∠1 = x
∠2 = y
as these two angles are supplementary their sum is 180
that x+y=180 ----(A)
Also given that ∠1 is 20 degree less than nine times the size of ∠2.
Hence
x=9y-20
putting value of x in A and solving for y
9y-20+y=180
10y=180+20
10y=200
y=10
Putting this y in A
x+10=180
x=160
Given:
In triangle ABC, point D is the centroid, and BD = 6.
To find:
The measure of side BE.
Solution:
We know that the centroid divides each median in 2:1.
In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.
Let BD and DE are 2x and x respectively.
We have, BD = 6 units.



Now,




Therefore, the measure of side BE is 9 units.
Answer:
The most appropriate statistical test to use to compare the mood scores from the different groups is independent sample t-test.
Step-by-step explanation:
The Independent Samples t-test examines the means of two independent groups to see if statistical evidence exists to show that the related population means differ significantly.
The Independent Samples t-test is also known as Independent t-test, Independent Two-sample t-test, and among others.
It should be note that only two (and only two) groups can be compared using the Independent Samples t-test. It is not possible to use it to make comparisons between more than two groups.
Therefore, the most appropriate statistical test to use to compare the mood scores from the different groups is independent sample t-test.
Question:
Jordan is cutting a 2 meter by
meter piece of rectangular paper into two pieces along its diagonal. what is the area of each of the pieces?
Answer:
Area of each piece of paper is
.
Solution:
Length of the paper = 2 m
Width of the paper =
m =
m
<em>Area of the rectangle = length × width</em>

<em>Diagonal of a rectangle divides it into two equal parts.</em>
Area of each piece = Area of the rectangle ÷ 2



Area of each piece of paper is
.
False.
Rhombuses may be rectangles<span>, as long as the shape is a square. </span><span>Every square is a </span>rhombus <span>if all its angles equal 90 degrees.</span>