Answer:
x = -1.25
Step-by-step explanation:
2.25x + 5 = 13.5x + 14
subtract five from both sides
2.25x = 13.5x + 9
subtract 13.5x from both sides
-11.25x = 9
swap the negative
11.25x = -9
divide 11.25 from both sides
x = -1.25
Answer:
B
Step-by-step explanation:
Plug the values of x into each equation
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:
58,187.5 m²
Step-by-step explanation:
1 cm : 25 m
7 cm = 25 × 7 m
7 × 25 = 175 m
13.3 × 25 = 332.5 m
area = 332.5 m × 175 m
Try this solution:
1. m∠A=m∠L; m∠B=m∠M and m∠C=m∠N;
2. m∠B=m∠M=35° and m∠C=m∠N=95°;
3. m∠A=m∠L=180°-(m∠B+m∠C)=180-35-95=50°
answer: 50°