In the diagram, m ∥ n and m and n are cut by transversal p. Which angle pairs are congruent? Check all that apply. ∠1 and ∠5 ∠3
and ∠8 ∠6 and ∠4 ∠8 and ∠2 ∠4 and ∠7
2 answers:
The picture in the attached figure
we know that
a) <span>∠1 and ∠5
are congruent-----> by corresponding angles
b) </span>∠3 and ∠8------> supplementary angles (∠3 + ∠8=180°)
<span>are not congruent
c)</span>∠6 and ∠4------> supplementary angles (∠6 + ∠4=180°)
are not congruent
d) ∠8 and ∠2------> supplementary angles (∠8 + ∠2=180°)
are not congruent
e) ∠4 and ∠7-----> supplementary angles (∠4 + ∠7=180°)
are not congruent
we know that
a) <span>∠1 and ∠5
are congruent-----> by corresponding angles
b) </span>∠3 and ∠8------> supplementary angles (∠3 + ∠8=180°)
<span>are not congruent
c)</span>∠6 and ∠4------> supplementary angles (∠6 + ∠4=180°)
are not congruent
d) ∠8 and ∠2------> supplementary angles (∠8 + ∠2=180°)
are not congruent
e) ∠4 and ∠7-----> supplementary angles (∠4 + ∠7=180°)
are not congruent
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Answer:
See the explanation
Step-by-step explanation:
(a)
H0: Consultant with more experience has the higher population mean service rating.
H1: Consultant with more experience doesn't have the higher population mean service rating.
(b)
t = 1.9923 (see the attached image)
(c)
The degrees of freedom for the test statistic,
df = 16
The P-value of the one tailed t- test with 16 degrees of freedom is,
P−value = tdist(X,df,tails)
P-value = tdist(1.9923,16,1)
P-value = 0.032
(d)
Since, P-value 0.032 is less than the significance level 0.05, there is an enough evidence to reject the null hypothesis.
Hence, there is a sufficient evidence to conclude that Consultant with more experience doesn't have the higher population mean service rating.
Hope this helps!
