Answer:
-7.333
Step-by-step explanation:
Answer:
Transitive property of equality
Step-by-step explanation:
By the definition of transitivity, a relation R is said to be transitive if (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R.
If p = q, q = r then p = r.
Here, we have given that if ZXY = FDE and FDE = CAB, then, ZXY = CAB.
Therefore, it shows the transitive property of equality.
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.")
70/6 is basically saying "divide 70 by 6". So to get to a mixed numer, thats what you have to do.
70/6=11.666666...
(.666666..... is 2/3 as a fraction)
The answer is 11 2/3.
hope i helped!! :))
