Answer:
1. x=158
2. x=58
3. x=68
4. the shape is a 20-gon
6. the shape has 52 sides
Step-by-step explanation:
1. the sum of interior angles of a nonagon is 1260. You add all the numbers that are shown. that comes out to 1102. 1260-1102 is 158.
2. the sum of interior angles of a 4 sided shape is 360. you add 2x+5+2x+7+x+x and you get 6x+12. then you make an equation, 6x+12=360. subtract 12 from both sides and you get 6x=348. Divide by 6 on both sides and you get x=58
3. the sum of interior angles of a pentagon is 540. you add x-8+3x-11+x+8+2x+7+x and you get 8x-4. then you make an equation, 8x-4=540. you add 4 to both sides and you get 8x=544. Divide by 8 on both sides and you get x=68
4. I don't know how to find it, but I know that a 20-gon has the sum of interior angles that equals up to 3240. sorry
5. I am sorry, i don't know how to do that
6. use (n-2)180. n is the number of sides. replace n with 52. (52-2)180. (50)180 = 9000
3/4-3/8 can be simplified as 3/8.
Since 3/4 and 3/8 must have denominators that are equal, multiplying 3/4 by 2/2, which is equal to 1, increases the denominator (the number at the bottom), without changing the value of the fraction.
3/4 x 2/2 = 6/8
Subtract now.
6/8 - 3/8 = 3/8
Since 3/8 can not be simplified.
Therefore, 3/8 is the simplest form of 3/4 -3/8.
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Answer:
1.225km is equal to each laps
Step-by-step explanation:
Since Kristy total distance traveled = 29.6km
And Kristy ran 24 laps and later walk 0.2km. it simply implies that
Total distance traveled = distance covered running + distance covered walking
Since we know that
Total distance traveled = 29.6km
distance covered running = 24 laps
distance covered walking = 0.2km
Distance covered running in km = total distance traveled - distance covered walking
Distance covered running in km = 29.6km - 0.2km = 29.4km.
To now find the distance for each lap.
Since we have:
Distance covered running in km = 29.4km.
Distance covered running in lap = 24 laps
i.e
24 laps = 29.4km
1 lap = x
Use cross-multiple
24 laps * x = 29.4km × 1 lap
x = 29.4km / 24
x = 1.225km
Therefore
1.225km is equal to each laps.
totaldistanceof24laps
29.6km - 0.2km
=29.4km
totaldistanceofeachlap
24 laps = 29.4km
1 lap = ?
Usecross-multiple
24 laps × X = 29.4km × 1 lap
X = 29.4km / 24
X = 1.225km
Answer
1.225km
please show your work !!
hello students from all over the world ! please , someone be kind enough to help me on this math problem ( if u are in 7th grade or higher u can handle it !) :)
grade of the question : 7th grade
subject : math, please help me thanks !! :)
The arrows indicate that you multiply each one, that way you don't forget in the long run, especially once you get to multistep algebraic equation.
So first you multiply the -7y by the 4 and you get -28y, if you remember a negative times a positive is a negative (I like to think of it as bad things that happen to good people is a bad thing ;) ) Now you take the -7y, because you have to multiply it by both numbers in the parenthesis, and multiply it to the -y, and since when you multiply two y's together it becomes squared it is 7y^2 (squared) and since both are negative, they cancel out and become a positive (bad things that happen to bad people is a good thing in a sense) So therefore your answer for the equivalence is 7y^2 + -28y
Hope that helped, my math teacher has a lot of tricks for remembering this stuff :)