You receive an email asking you to forward it to four other people to ensure prosperity. Assuming the chain isn't broken, how ma
2 answers:
Answer:
Total number of emails send after 8 email generation is given as
4+16+64+256+1024+4096+16384+65536=87380
Number of email received after 8 email generation is given as
1+4+16+64+256+1024+4096+16384=21845
Step-by-step explanation:
In this question it is given that First email is send to four peoples
Therefore in generation-1
Number of email received=1
Number of email sent by first person=
generation-2
Number of email send by 4 persons if each send 4 email
generation-3
Number of email send by 16 persons if each send 4 email
generation-4
Number of email send by 64 persons if each send 4 email
generation-5
Number of email send by 256 persons if each send 4 email=
generation-6
Number of email send by 1024 persons if each send 4 email
generation-7
Number of email send by 4096 persons if each send 4 email
Generation-8
Number of email send by 16384 persons if each send 4 email
therefore, Total number of emails send after 8 email generation is given as
Number of email received after 8 email generation is given as
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Answer:
1) c ║ d by consecutive interior angles theorem
2) m∠3 + m∠6 = 180° by transitive property
3) ∠2 ≅ ∠5 by definition of congruency
4) t ║ v Corresponding angle theorem
5) ∠14 and ∠11 are supplementary Definition of supplementary angles
6) ∠8 and ∠9 are supplementary Consecutive interior angles theorem
Step-by-step explanation:
1) Statement Reason
m∠4 + m∠7 = 180° Given
m∠4 ≅ m∠6 Vertically opposite angles
m∠4 = m∠6 Definition of congruency
m∠6 + m∠7 = 180° Transitive property
m∠6 and m∠7 are supplementary Definition of supplementary angles
∴ c ║ d Consecutive interior angles theorem
2) Statement Reason
m∠3 = m∠8 Given
m∠8 + m∠6 = 180° Sum of angles on a straight line
∴ m∠3 + m∠6 = 180° Transitive property
3) Statement Reason
p ║ q Given
∠1 ≅ ∠5 Given
∠1 = ∠5 Definition of congruency
∠2 ≅ ∠1 Alternate interior angles theorem
∠2 = ∠1 Definition of congruency
∠2 = ∠5 Transitive property
∠2 ≅ ∠5 Definition of congruency.
4) Statement Reason
∠1 ≅ ∠5 Given
∠3 ≅ ∠4 Given
∠1 = ∠5 Definition of congruency
∠3 = ∠4 Definition of congruency
∠5 ≅ ∠4 Vertically opposite angles
∠5 = ∠4 Definition of congruency
∠5 = ∠3 Transitive property
∠1 = ∠3 Transitive property
∠1 ≅ ∠3 Definition of congruency.
t ║ v Corresponding angle theorem
5) Statement Reason
∠5 ≅ ∠16 Given
∠2 ≅ ∠4 Given
∠5 = ∠16 Definition of congruency
∠2 = ∠4 Definition of congruency
EF ║ GH Corresponding angle theorem
∠14 ≅ ∠16 Corresponding angles
∠14 = ∠16 Definition of congruency
∠5 = ∠14 Transitive property
∠5 + ∠11 = 180° Sum of angles on a straight line
∠14 + ∠11 = 180° Transitive property
∠14 and ∠11 are supplementary Definition of supplementary angles
6) Statement Reason
l ║ m Given
∠4 ≅ ∠7 Given
∠4 = ∠7 Definition of congruency
∠2 ≅ ∠7 Alternate angles
∠2 = ∠7 Definition of congruency
∠2 = ∠4 Transitive property
∠2 ≅ ∠4 Definition of congruency
∠2 and ∠4 are corresponding angles Definition
DA ║ EB Corresponding angle theorem
∠8 and ∠9 are consecutive interior angles Definition
∠8 and ∠9 are supplementary Consecutive interior angles theorem.
Answer:
II case.
Step-by-step explanation:
Given that a catering company prepared and served 300 meals at an anniversary celebration last week using eight workers.
The week before, six workers prepared and served 240 meals at a wedding reception.
Productivity is normally measured by number of outputs/number of inputs
Here we can measure productivity as
no of meals served/no of workers
In the I case productivity =
In the II case productivity =
Obviously II case productivity is more as per worker 40 meals were served which is more than 37.5 meals per worker in the I case.