Answer:
59
Step-by-step explanation:
2x+2 = 120 because they are vertical angles
2x = 118
x = 59
Answer:
The flagpole's shadow is 16.875 feet longer than the man's shadow
Step-by-step explanation:
The total length of the shadow is expressed by taking its actual length by a factor that depends on the position of the sun which is constant for the man too. The expression is as follows;
Height of the shadow=actual height of the flagpole×factor
where;
length of the flagpole's shadow=22.5 feet
actual height of the flagpole=32 feet
factor=f
replacing;
22.5=32×f
32 f=22.5
f=22.5/32
f=0.703125
Using this factor in the expression below;
Length of man's shadow=actual height of man×factor
where;
length of man's shadow=m
actual height of man=8 feet
factor=0.703125
replacing;
length of man's shadow=8×0.703125=5.625 feet
Determine how much longer the flagpole's shadow is as follows;
flagpoles shadow-man's shadow=22.5-5.625=16.875 feet
The flagpole's shadow is 16.875 feet longer than the man's shadow
So to answer you just have to substitute all the given choices into the formula and see which come out true.
2(1) - 3(-3) >_ 12
2 + 9 >_ 12
11 >_ 12
XNXOXPXEX
2(8) - 3(1) >_ 12
16 - 3 >_ 12
13 >_ 12
VYVEVSV
2(3) - 3(2) >_ 12
6 - 6 >_ 12
0 >_ 12
XNXOXPXEX
2(-2) - 3(-6) >_ 12
-4 + 18 >_ 12
14 >_ 12
VYVEVSV
2(2) - 3(3) >_ 12
4 - 9 >_ 12
-5 >_ 12
XNXOXPXEX
2(1) - 3(8) >_ 12
2 - 24 >_ 12
-22 >_ 12
XNXOXPXEX
2(-3) - 3(1) >_ 12
-6 - 3 >_ 12
-9 >_ 12
XNXOXPXEX
VYVEVSV = yes
XNXOXPXEX = nope
By using the concept of profit, it can be calculated that
Profit function = 5.75 x - 1200
What is profit?
If the selling price of an article is more than the cost price of the article, the difference between the selling price and cost price gives the profit
Monthly expense for a pizza parlor C(x) = 1,200 + 6. 75x
Revenue function = 12.5x
Profit function = R(x) - C(x)
= 12.5x - (1200 + 6.75x)
= 12.5 x - 1200 - 6.75x
= 5.75 x - 1200
To learn more about profit, refer to the link-
brainly.com/question/19104371
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