Remember:
A triangle is always 180 degrees and so is a straight line so 360 degrees in total:
1) Add 92 and 123 which equals 215
Then 360 subtracted by 215 is 145
Answer: 145
2) add 100 and 25= 125
360-125= 235
Answer: 235 degrees
Answer:
Step-by-step explanation:
to find the surface area we need to find the followng areas:
- area of a triangle and multiply it by 4 (because there are 4 triangles)
And once we have those areas, we add them to find the surface area.
Area of the square:
the formula to find the area of a square is:
where 
is the length of the side: 
thus the area of the square is:
Area of the triangles:
the are of 1 triangle is given by
where 
is the base of the triangle: 
(the base of the triangle is the side of the square)
and 
is the height of the triangle: 
thus, the area of 1 triangle is:
the area of the 4 triangles is (we multiply by 4):
finally we add the area of the square and the area of the 4 triangles to find the total surface area:
Answer:
LN and NK
Step-by-step explanation:
A perpendicular bisector of a line segment divides the line segment into 2 equal halves.
Here, line JM is a perpendicular bisector of line segment LK at point N. So, line JM divides the line segment LK into 2 equal halves.
The two equal halves are segment LN and segment NK.
Therefore, segment LN is congruent to segment NK.
Answer:
5 days
Step-by-step explanation:
This problem is an inverse proportion case. Having two variables: number of workers and time (in days); when we increase the number of workers, the time needed decreases; vice versa. Therefore, we can use the multiplication method: (workers * time) will always stay constant.
Let's say the time (in days) needed by the eleven workers is t,
5*20 = (3*10) + (14*t)
100 = 30+14t
70 = 14t
5 = t
It will take the eleven-workers 5 more days to finish the road.
Answer:
24 hours
Step-by-step explanation:
set up a ratio:
12 miles = 16 hours
------------- ------------
18 miles = x hours
cross multiply
12m * x = 16h * 18 m
solve for x
x=16h * 18m / 12m = 24 hours
