At which angle will the hexagon rotate onto itself? 60° 90° 120° 180°
2 answers:
Answer: The hexagon will rotate onto itself at 60°.
Step-by-step explanation:
A hexagon is a regular polygon with six sides) having all its sides and all its angles are equal.
For a regular polygon , Order of rotation of the figure = Number of sides .
i.e. Order of rotation for hexagon = 6
Let be the angle at which hexagon rotate onto itself, then we have
[∵One complete rotation=
]
Hence, The hexagon will rotate onto itself at 60°.
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Answer:
A, C, D
Step-by-step explanation:
Consider triangles NKL and NML. These triangles are right triangles, because
In these right triangles:
- reflexive property;
- given
Thus, triangles NKL and NML by HA postulate. Congruent triangles have congruent corresponding parts, so
Since
then
Option B is false, because KN=52 units.
Option E is false, because LN is congruent KN, not LM
Answer: Option D
Step-by-step explanation:
The equation of a line in the form of "slope-interception" has the following form:
Where m is the slope of the line and b is the interception of the line with the y axis.
In this case we know that the line has a slope of -2. Then .
We also know that the line intercepts the axis y at the point (0, 3) therefore we know that:
.
Finally the equation of the line will be:
If we add 2x on both sides of the equation we get:
The answer is the option D