Daniela examines the two triangles below and determines DAC~TRS.
2 answers:
Answer:
Option A. Accurate. The triangles are similar and the congruent angles are listed in corresponding order
Step-by-step explanation:
step 1
In the triangle TRS find the measure of angle T
Remember that
The sum of the interior angles in a triangle is equal 180 degrees
so
substitute the values and solve for <T
so
The triangle DAC is similar to triangle TRS by AA Similarity Postulate (The three interior angles are congruent)
The corresponding angles are
<S=<C
<R=<A
<T=<D
therefore
The triangles are similar and the congruent angles are listed in corresponding order DAC~TRS
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Answer: The 90% confidence interval for the population mean μ is between 82.85 and 85.15,
Step-by-step explanation:
When population standard deviation is not given ,The confidence interval population proportion is given by ( ):-
, where n= Sample size.
s= Sample standard deviation
= sample mean
t* = Critical t-value (Two-tailed)
As per given , we have
n= 64
Degree of freedom : df = n-1=63
s= 5.5
Significance level :
Two-tailed T-value for df = 63 and would be
(By t-distribution table)
i.e. t*= 1.669
The 90% confidence interval for the population mean μ would be
∴ The 90% confidence interval for the population mean μ is between 82.85 and 85.15,