Answer:
5/11
Step-by-step explanation:
Probability is the chance that something will happen. Basically, it answers the question of how many times an event will occur in a given number of opportunities.
In this example, the word "GEOMETRICAL" has 11 letters and 5 of them are vowels. They are: E, O, E, I, A. The probability of picking a vowel is 5/11. We could say that there are 5 out of 11 chances of a vowel to occur whenever a piece of paper is taken out of the bag.
Answer:
for this graph the answer is D
Answer:
B. {16, 19, 20}
Step-by-step explanation:
The <em>triangle inequality</em> requires for any sides a, b, c you must have ...
a + b > c
b + c > a
c + a > b
The net result of those requirements are ...
- the sum of the two shortest sides must be greater than the longest side
- the length of the third side lies between the difference and sum of the other two sides
__
If we look at the offered side length choices, we see ...
A: 8+11 = 19 . . . not > 19; not a triangle
B: 16+19 = 35 > 20; could be a triangle
C: 3+4 = 7 . . . not > 8; not a triangle
D: 5+5 = 10 . . . not > 11; not a triangle
The side lengths {16, 19, 20} could represent the sides of a triangle.
_____
<em>Additional comment</em>
The version of triangle inequality shown above ensures that a triangle will have non-zero area.
The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")
Answer: They're capitals of cities.
Step-by-step explanation:
You could continue the set with Madrid, Bucharest, Sofia, Luxembourg, Berlin, Rome, Athens... and so on.
Step-by-step explanation:
WYXV is quadrilateral.
the reason are the undefined angles at W and V (they are equal, but not necessarily 90°, so the shape could shrink or extend between W and V)
ABCD is a rectangle.
AB and CD are parallel and equally long. and C is 90°.
that means then that the other angles must be 90° too, or either the parallel or equally long criteria would be violated.
PQSR is a parallelogram.
PQ and RS are parallel and equally long.
that means that PR and QS must also be parallel and equally long. we just don't know the angles, they could be anything. and therefore this is not a rectangle but a more generic parallelogram.
