- linear pairs are supplementary, meaning they add up to 180°
5x + 9 + 3x + 11 = 180
8x + 20 = 180
8x = 160
x = 20
- now plug in.
angle 1: 5(20) + 9 = 100 + 9 = 109°
angle 2: 3(20) + 11 = 60 + 11 = 71°
you want to sub 8 from both side then divide
Answer:
A
Step-by-step explanation:
3 multiple 3 equal 9 9 multiple 5 equal 45 x multiple x equal x square x square multiple 5 equal 5 x square
Formula for V of pyramid is V = 1/3 Bh
B = area of base
h = height
Q1.
8 x 6 = 48
48 = area of base
48 x 5 (height) = 240
240 x 1/3 = 80
80 cm^3
Q2.
8 x 12 would get the area of the base.
the formula says 1/3 Bh, so the base is multiplied by the height (10) and by 1/3.
So if you substitute in the values into the formula, it'll be:
V = 1/3 (12) (8) (10)
Q3.
4 x 6 = 24
base = 24 cm^2
height = 9
1/3 x 24 x 9 = 72
Volume = 72 cm^3
statement 1 is incorrect. The area of the base is actually 24 cm^2
statement 2 is correct.
statement 3 is correct. the volume of the rectangular prism (9 x 4 x 6) is 216cm^3, which is 3 times the volume of the pyramid (72 cm^3).
statement 4 is incorrect. This would require the volume of the pyramid to be 9 times of its own volume.
statement 5 is correct.
statement 6 is incorrect. The volume of the pyramid is 72, not 216.
Q4.
use the balance method to get the answer.
108 / 1/3 = 108 x 3 = 324
324 / 9 (the height) = 36
the base has an area of 36 in^2
Q5.
6 x 4 gets the area of the base
8 is the height
substitute them into the formula:
V = 1/3 (6) (4) (8)
Q6.
8 x 6 = 48
48 = area of base
9 = height
substitute them into the formula:
V = 1/3 (48) (9)
1/3 x 48 x 9 = 144
Volume of this pyramid is 144 in^3
Answer:
Step-by-step explanation:
Variability (also called spread or dispersion) refers to how spread out a set of data is. Variability gives you a way to describe how much data sets vary and allows you to use statistics to compare your data to other sets of data.
