Answer:
80
Step-by-step explanation:
Sum of interior angles of a polygon = (n-1)x180= (6-2)x180=720
Since this looks like a regular hexagon each interior angle =720/6=120
Hence the inside angle touching the line is 120 (inside the hexagon)
Since one side of the hexagon is parallel to the line, y and 20 form adjacent angle, sum 180,
Then y= 180-20=160
Then x=360-(160+120)=80 because sum of all angles round a point=360
Answer:
Yes
Step-by-step explanation:
divide by 6 on both sides
You need to find out if 57 can be divided evenly by a number other than 1 and 57.
57 is odd, so it is not divisible by 2.
The digits of 57 are 5 and 7. Add 5 + 7 to get 12. Since 12 is divisible by 3 (12/3 = 4), then 57 is also divisible by 3.
57/3 = 19
19 is a prime number, so the only factors of 57 are 1, 3, 19, 57.
57 rows can be divided into 19 sections of 3 rows each or 3 sections of 19 rows each.
Answer:
The pieces are 55 inches, 55 inches and 46 inches long
Step-by-step explanation:
A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.
Let us first convert the length of the board to inches:
1 ft = 12 inches
13 ft = 12 * 13 = 156 inches
Let the length of each of the other two pieces be x.
Therefore, the length of the third piece is (x - 9)
Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:
x + x + (x - 9) = 156
x + x + x - 9 = 156
=> 3x = 156 + 9
3x = 165
x = 165 / 3 = 55 inches
Each of the first two pieces are 55 inches long.
The length of the third piece will be:
55 - 9 = 46 inches
The pieces are 55 inches, 55 inches and 46 inches long.
Answer:
21
Step-by-step explanation:
1 side = 6 plants (including one in the corner)
3 sides = 5 plants each
6+15 = 21
