Answer:
12 sides
Step-by-step explanation:
Given
Sum of interior angle = 1800 degrees
Required
Number of sides of the polygon
The sum of interior of a convex polygon is calculated using the following formula:
Sum = (n - 2) * 180
Where n is the number of sides of the polygon.
By substituting 1800 for Sum, we have

Divide through by 180


Add 2 to both sides


Re order

Hence, the number of sides of the polygon is 12
Answer:
The answer to your question is 12x + 24y ≤ 120
Step-by-step explanation:
Data
12 min oil change and variable x
24 minutes tire change and variable y
total time = 120 min
Process
1.- Calculate the number of oil changes
12x
2.- Calculate the number of tire changes
24y
3.- Calculate the total number of changes
12x + 24y
4.- Write the inequality
12x + 24y ≤ 120
Use ≤ to mention that 120 is been considered.
x+7.9=8.5
solving x would be .6
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The values of x and y are 19 and 14 respectively.
<h3 /><h3>How to determine the length</h3>
Given the hypotenuse = 24
Opposite = x
Adjacent = y
Let's use the sine ratio to find the opposite side
sin of angle = opposite/hypotenuse
sin 54 = x/24
Cross multiplysin 54 × 24 ,= x
x = 19.42
x = 19
To find the adjacent side, we use cosine ratio
cos = adjacent/hypotenuse
cos 54 = y/25
Cross multiply
cos 54 × 24 = y
y = 14
Thus, the values of x and y are 19 and 14 respectively.
Learn more about trigonometric identities here:
brainly.com/question/20094605
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The answer is C. Associative property of addition