Answer:
66.96
Step-by-step explanation:
Furlong = 1/8 mile
Fortnight = 14 days
Day = 24 hours
If the speed limit is 180,000 furlongs per fortnight, converting the units from furlongs per fortnight to miles per hour:
The speed limit on this exotic land in 66.96 miles per hour.
Answer:
9
Step-by-step explanation:
Rotational symmetry is when a shape has the same orientation after being rotated.
For example, an equilateral triangle rotated 120° will line back up with itself. A square rotated 90° will also return to its original orientation. Same with a pentagon rotated 72°.
Basically, an n-gon rotated by a multiple of 360°/n will return to its original position.
θ = k 360°/n
For the first rotation:
160° = k 360°/n
160 / 360 = k / n
4/9 = k/n
For the second rotation:
120° = k 360°/n
120 / 360 = k / n
1/3 = k/n
For the third rotation:
80° = k 360°/n
80 / 360 = k / n
2/9 = k/n
For the fourth rotation:
280° = k 360°/n
280 / 360 = k / n
7/9 = k/n
The total rotation angle is -160°.
160 = k 360/n
160 / 360 = k / n
4/9 = k/n
Comparing the denominators, n must be the smallest multiple of 3 and 9. Therefore, n = 9.
Answer: 28 cm
Step-by-step explanation:
x - the length of the shorter piece
2x - the length of the longer piece
Together they are 42 cm long.
Compose te equation:
2x + x = 42
3x = 42
x = 14 cm
The shorter piece is 14 cm, the longer piece is twice longer, 2x, or 2( 14 ).
Two times longer than 14 is 28. The longer piece is 28 cm.
Answer:
angle x is an exterior angle of the triangle
