Answer:

Step-by-step explanation:
In rectangle ABCD, AB = 6, BC = 8, and DE = DF.
ΔDEF is one-fourth the area of rectangle ABCD.
We want to determine the length of EF.
First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

The area of the triangle is 1/4 of this. Therefore:

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

Since DE = DF:

Thus:

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

Therefore:

Square:

Add:

And finally, we can take the square root of both sides:

A statistical statement is the one that deals with a group of data that is collected from a population or a sample population.
Here when you look the statements B,C and D, you can see that it mentions a group of people or data like time, number etc.
But the statement A does not deal with the population, but it deals with one single person who won the competition. Hence this is the statement that is not statistical
Answer
so there are 7 singing acts and 5 comedy acts.
Step-by-step explanation:
Let x= number of singing acts.
Let y= number of comedy acts.
We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.
We solve x+y=12
Y=-x+12
We know y=-x+12, so we will substitute that for the y in the second equation.
1. Substitute 5x+3(-x+12)=50
2. Distribute 5x-3x+36=50
3. Solve 2x+36=50
2x=14
X=7
Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.
5(7)+3y=50
35+3y=50
3y=15
Y=5
20=x/3-8
28=3x
3x/3 = 28/3
X= 28/3
Answer:
(B)
Step-by-step explanation:
Option (B) is in correct order when talking about the specific ones.
Polygon is the least specific as it can be of many sides.
example: A polygon with 3 sides is a triangle. and the polygon with 4 sides is a quadrilateral.
Hence, quadrilateral is on the second number in least specific group.
Quadrilaterals with 2 sides parallel and equal are known as parallelogram.
Therefore, they are on the 3rd number in specific group.
Parallelograms with opposite sides parallel and equal and all the vertex angles at right angles are known as rectangles.
Therefore, rectangles are the most specific one in the group. The list is given by (option (B):
1) polygons
2) quadrilaterals
3) parallelograms
4) rectangles.
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