Answer: 12.5 or 12 1/2
Step-by-step explanation:
Problem 7: Correct
Problem 8: Correct
Problem 9: Correct
The steps are below if you are curious
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Problem 7
S = 180*(n-2)
2340 = 180*(n-2)
2340/180 = n-2
13 = n-2
n-2 = 13
n = 13+2
n = 15
I'm using n in place of lowercase s, but the idea is the same. If anything, it is better to use n for the number of sides since S already stands for the sum of the interior angles. I'm not sure why your teacher decided to swap things like that.
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Problem 8
First find y
y+116 = 180
y+116-116 = 180-116
y = 64
which is then used to find x. The quadrilateral angles add up to 180*(n-2) = 180*(4-2) = 360 degrees
Add up the 4 angles, set the sum equal to 360, solve for x
x+y+125+72 = 360
x+64+125+72 = 360 ... substitution (plug in y = 64)
x+261 = 360
x+261-261 = 360-261
x = 99
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Problem 9
With any polygon, the sum of the exterior angles is always 360 degrees
The first two exterior angles add to 264. The missing exterior angle is x
x+264 = 360
x+264-264 = 360-264
x = 96
Answer:
<h2>
294 cm²</h2>
Step-by-step explanation:
X= 24 simple calculations are there
Answer:
$5
Step-by-step explanation:
Let the number of students be x, then
<u>Initial amount per student was:</u>
<u>After it becomes:</u>
<u>Since amount increased after, it can be shown as:</u>
<u>Multiply each term by x(x - 5) to get rid of the fraction:</u>
- 100(x-5) + x(x - 5) = 100x
- 100x - 500 + x² - 5x - 100x = 0
- x² - 5x - 500 = 0
<u>Positive solution of this quadratic equation is </u>
<u>Amount each person paid after:</u>
