What is the period of the function f(x) shown in the graph? Enter your answer in the box.
1 answer:
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Symmetric property of congruence.
Solution:
Given statement:
If ∠1 ≅ ∠2, then ∠2 ≅ ∠1.
<em>To identify the property used in the above statement:</em>
Let us first know some property of congruence:
Reflexive property:
The geometric figure is congruent to itself.
That is .
Symmetric property of congruence:
If the geometric figure A is congruent to figure B, then figure B is also congruent to figure A.
That is .
Transitive property of congruence:
If figure A is congruent to figure B and figure B is congruent to figure C, then figure A is congruent to figure C.
That is
From the above properties, it is clear that,
If ∠1 ≅ ∠2 then ∠2 ≅ ∠1 is symmetric property of congruence.
Answer: Hence, there are approximately 48884 integers are divisible by 3 or 5 or 7.
Step-by-step explanation:
Since we have given that
Integers between 10000 and 99999 = 99999-10000+1=90000
n( divisible by 3) =
n( divisible by 5) =
n( divisible by 7) =
n( divisible by 3 and 5) = n(3∩5)=
n( divisible by 5 and 7) = n(5∩7) =
n( divisible by 3 and 7) = n(3∩7) =
n( divisible by 3,5 and 7) = n(3∩5∩7) =
As we know the formula,
n(3∪5∪7)=n(3)+n(5)+n(7)-n(3∩5)-n(5∩7)-n(3∩7)+n(3∩5∩7)
Hence, there are approximately 48884 integers are divisible by 3 or 5 or 7.