The question is incorrect. X is not defined UNLESS the hexagon is a regular hexagon, which means that all sides are equal (given) AND all angles are equal (not given).
Error in question aside, and ASSUMING the hexagon is regular, you can apply the principle that
1. the sum of exterior angles of ANY polygon is 360.
2. the sum of exterior angles and interior angles at EACH vertex is 180.
3. Multiply sum from (2) above by the number of vertices and subtract 360 gives the sum of the interior angles.
4. IF the polygon is regular (all angles equal), then each interior angle equals the result from (3) divided by n, the number of vertices.
Example for a regular heptagon (7 sides, 7 verfices).
1. Sum of exterior angles = 360
2. sum of interior and exterior angles at EACH vertex=180
3. multiply 180 by 7, subtract 360
180*7-360=900
4. since heptagon is regular, each interior angle equals 900/7=128.57 deg.
For this case, we have that:
- By definition, a rectangle is a parallelogram. So, we discard the first option.
- On the other hand, we have that all rectangles can not be squares, since a square has all its sides equal, while the rectangle, poir definition, no.So, we discard the second option.
- All quadrilaterals are not rectangles because there are other figures with four sides that are not necessarily rectangular. We discard the third option.
- Finally, we have that all squares are rectangles. This statement is true since squares can be rectangles with pairs of equal sides.
Answer:
Option D
Answer: Our required probability is 0.167.
Step-by-step explanation:
Since we have given that
n = 15
Probability of success p = 80% = 0.8
Probability of failure q = 20% = 0.2
We need to find the probability that at least fourteen will work.
So, by Binomial distribution, we get that
Hence, our required probability is 0.167.
Hey there! :)
Answer:
405 calories.
Step-by-step explanation:
To solve, we can create a proportion.
We are given that 4 nuggets is equivalent to 180 calories, therefore:
Cross multiply:
9 · 180 = 4 · x
1620 = 4x
Divide both sides by 4:
x = 405 calories.
