Answer:
isn't an equivalence relation. It is reflexive but neither symmetric nor transitive.
Step-by-step explanation:
Let
denote a set of elements.
would denote the set of all ordered pairs of elements of
.
For example, with
,
and
are both members of
. However,
because the pairs are ordered.
A relation
on
is a subset of
. For any two elements
,
if and only if the ordered pair
is in
.
A relation
on set
is an equivalence relation if it satisfies the following:
- Reflexivity: for any
, the relation
needs to ensure that
(that is:
.)
- Symmetry: for any
,
if and only if
. In other words, either both
and
are in
, or neither is in
.
- Transitivity: for any
, if
and
, then
. In other words, if
and
are both in
, then
also needs to be in
.
The relation
(on
) in this question is indeed reflexive.
,
, and
(one pair for each element of
) are all elements of
.
isn't symmetric.
but
(the pairs in
are all ordered.) In other words,
isn't equivalent to
under
even though
.
Neither is
transitive.
and
. However,
. In other words, under relation
,
and
does not imply
.
Answer:
x= 48
Step-by-step explanation:
Multiply 8 by 6 to get x by itself and you get your answer.
A)106°- angle at the centre is half of the angle at the circumference
b)74°- when a tangent meets a radius a right angle is created(90+90+106)= 286 360-286= 74°
Answer:
a. 0
Step-by-step explanation:
1. To find the slope given two points, use the following formula:

2.
would be the second y-value (in the second ordered pair), 2, and
would be the first y-value (in the first ordered pair), also 2.
3. Same for the x-values.
is -2 and
is 4
4. Now plug in the values.

5. This equals
which simplifies to 0
Answer:
48%
Step-by-step explanation:
96 out of the 200 species of birds have been seen nesting. To make it easier, let's make it out of a hundred. Just divide both numbers by 2, this will result in the ratio being 48 out of 100. Now, we have our percentage, 48%.