Answer:
Coordinate of E:(-2,3) Coordinate of G: (2.5,1.5)
Parallel: slopes both = -1/3
1/2 segment: EG length= 3 BC length=6: This is the only one I'm not sure about.
I will show the work for both the problems down below.
Step-by-step explanation:
Finding coordinates:
1+(-5)/2=-2 5+1/2=3
(-2,3)
1+4/2= 2.5 5+(-2)/2= 1.5
(2.5,1.5)
Show work verifying the EG and BC are parallel:
You can do this by finding the slope
Slop formula (y2-y1)/(x2-x1)
(1.5-3)/(2.5-(-2))
Then simplify
-1.5/2/5= -1/3 which i your slope. You use the same formula and follow thee same steps for the points of BC and both will come up as -1/4 meaning they are parallel.
Show work verifying that EG and BC are parallel:
Use distance formula to find how long each line is
√(x2-x1)^2+(y2-y1)^2
√(2.5-(-2)^2)+(1.5-3)^2
Simplify
√4.5+(1.5)=3
Do the same thing with BC and you will get 6
Answer:
106°
Step-by-step explanation:
AOD = COB (because of vertical angles)
COB = COF + FOB
COF = 90
FOB = 16
COB = 90 + 16 = 106
AOD = 106
Hope this helps :)
Have a nice day!
Answer:
(5,2) and (5,10)
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
we have
substitute in the formula
solve for y
square both sides
square root both sides
therefore
The points are
(5,2) and (5,10)
Answer:
4000 is size of a crowd walking in a charity fundraising March.
Step-by-step explanation:
Given:
Dimensions of rectangular space 10 feet by 12000 feet
So we can say that,
Length = 1200 ft
Width = 10 ft
Now we will calculate the area of rectangular space which is given by
Hence Area will be = 
Now we know that 40 people occupy a rectangle measuring 10 feet by 12 feet.
Length = 12 ft
Width = 10 ft
Area = 
It says that 40 people are occupied in 120 
So how many people will be there in 12000
By using unitary method we get,
Number of people = 
Size of a crowd walking in a charity fundraising March is 4000.
1. 5×10×7= 350
2. 12×6×8=576
3. 4.2×3.5×2=29.4
4. 1.1×1.5×2.6=4.29
5.4×3×5= 60
6. 4.1×2.6×5.1=47.97
