Answer:
$
Step-by-step explanation:
Let's assume represents the number of pounds of fruit.
We need to multiply the number of pounds of fruit by the cost per pound.
This is $, or in a simpler form, $
.
Two angles of a quadrilateral are supplementary. One of them is 4 less than twice the other. What is the measure of the larger a
1 answer:
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Answer:
The given relation R is equivalence relation.
Step-by-step explanation:
Given that:
Where is the relation on the set of ordered pairs of positive integers.
To prove, a relation R to be equivalence relation we need to prove that the relation is reflexive, symmetric and transitive.
1. First of all, let us check reflexive property:
Reflexive property means:
Here we need to prove:
As per the given relation:
which is true.
R is reflexive.
2. Now, let us check symmetric property:
Symmetric property means:
Here we need to prove:
As per the given relation:
means
means
Hence true.
R is symmetric.
3. R to be transitive, we need to prove:
means
.... (1)
means
...... (2)
To prove:
To be we need to prove:
Multiply (1) with (2):
So, R is transitive as well.
Hence proved that R is an equivalence relation.