Answer
A. XY and ST
B. VU and TW
D.TX and WX
Step-by-step explanation:
The question is on volume of a hexagonal right pyramid
The formula for volume of hexagonal right pyramid is

where a is the base length and h is the height of the pyramid.
So to get the volume, you need to find the base area then multiply it by the height.
Let observe the lengths that can help you in calculating the volume.
Length XY is important because it is a base length
Length st is important because it is the height of the pyramid
Length VU/YZ is important because it is a base length
Length TW/TX is important because it could help you determine the slant height and if the apothem length is given, you can determine the height TS
Length XW is important because it is a base length
Length XS is not important because it is not the apothem length.Apothem length is a perpendicular bisector of the base length originating from the center of the pyramid
Therefore the correct pairs of lengths are ;
A. XY and ST
B. VU and TW
D.TX and WX
Answer:
x = 130 degrees
Step-by-step explanation:
Here, we want to find the value of x
mathematically, the sum of opposite interior angles equal the opposite exterior angles
In the triangle, we have only one interior angle
Now, as we can see, the angle that measures 150 is on a straight line with one of the angles in the triangle
Mathematically, the sum of angles on a straight line is 180
So we have it that the given angle in the triangle would be (180-150)
If we add this to the 100, we have the exterior angle which is x
Thus, we have it that;
x = 100 + (180-150)
x = 100 + 30
x = 130 degrees
You can model it like this:
5/1 x 2/3
5 x 2=10
1 x 3=3
10/3 is your answer
Answer:
14.5 kg
Step-by-step explanation:
Arrange the numbers in increasing order, which will give
8kg, 8kg, 14kg, 15kg, 17kg, 19kg
You then find the middle number(s), which is [14kg & 15kg] in this case.
Then you add the middle numbers and divide by 2, hence
