Answer:
30/w^2
Step-by-step explanation:
3w^5(10w^2-9)
(30w^5)/(w^7)
(30)/(w^2)
<span>They are congruent by SAS</span>
Answer:
Pyramid
Step-by-step explanation:
Read through Euclid's "Elements" to find, if possible, the word.
Answer:
900
Step-by-step explanation:
5 people are said to occupy a 1000square feet space
That means we have to look out for how many 1000 square feets are in 180000
That would be 180000/1000 = 180
But 1000 square occupies 5 persons and there are 180 1000square which can occupy 5 people in 180 000 square.
Hence 180 × 5= 900 is the number of persons that the hall can occupy.
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
