Since those lines are parallel, we know that A + B = 180°
So, we have:
8x + 74 + 2x + 56 = 180
10x + 130 = 180
10x = 180 - 130
10x = 50
x = 5
B = 2x + 56
B = 10+56=66
(To check:
A = 8x + 74
A = 40+74=114
114+66=180)
Answer:


Step-by-step explanation:
Figure of cone is missing. See attachment
Given
Radius, R = 2m
Let L = KL=LM=KM
Required:
Volume, V and Surface Area, A
<u><em>Calculating Volume</em></u>
Volume is calculated using the following formula

Where R is the radius of the cone and H is the height
First, we need to determine the height of the cone
The height is represented by length OL
It is given that KL=LM=KM in triangle KLM
This means that this triangle is an equilateral triangle
where OM = OK = 
OK = 
Applying pythagoras theorem in triangle LOM,
|LM|² = |OL|² + |OM|²
By substitution
L² = H² + (
)²
H² = L² -
²
H² = L² (1 -
)
H² = L² 
H² = 
Take square root of bot sides


Recall that 




in terms of
an d L where L = KL = LM = KM
<u><em>Calculating Surface Area</em></u>
Surface Area is calculated using the following formula


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They are independent events because the outcome of one does not affect the outcome of the other
I think the answer is Beth can make 8 dozen gingerbread men