Answer: x = 8
Each angle is 120 degrees
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Explanation:
The top and bottom angles are vertical angles, so they are congruent to each other. This means they are the same measure.
14x+8 = 4x+88
14x+8-8 = 4x+88-8 ... subtract 8 from both sides
14x = 4x+80
14x-4x = 4x+80-4x ... subtract 4x from both sides
10x = 80
10x/10 = 80/10 ... divide both sides by 10
x = 8
Once you know x, you can figure out each angle
top angle = 4x+88 = 4*8+88 = 120 degrees
botom angle = 14x+8 = 14*8+8 = 120 degrees
Both angles are 120 degrees so this helps confirm we have the proper x value
Given
<span>c'(q)=dc/dq=0.006q^2-0.6q+70
Integrate marginal cost to get cost function
c(q)=0.002q^3-0.3q^2+70q+C (C is a constant)
Fixed cost = 2000 means that C=2000.
or
c(q)=</span>0.002q^3-0.3q^2+70q+2000
Average cost=c(q)/q, for q=200,
=(0.002*q^3-0.3*q^2+70*q+2000)/q
=20000/200
=100
Answer: Average cost is $100
Answer:
1/4 of the pizza
Step-by-step explanation:
Imagine that the pizza was spilt into fourths. If you dropped 1/2, you dropped 2 pieces out of the 4. If you shared 2/4, which is also 1/2, you shared 1 out 2 pieces left. You now have 1 out of the 4 pieces left.
all 3 angles in a triangle need to equal 180 degrees
62 +73 = 135 degrees are known
180-135 = 45
so angle B = 45 degrees
