Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
we know that
Triangle ABC and ADE are congruent triangles by SSS Theorem postulate
therefore

Answer:
A) 14°
Step-by-step explanation:
If α and β are the two angles other than 90° in a right triangle, then we have the relation between α and β as, α+β=90°.
Therefore, Sin α = Sin (90° -β) =Cos β.
So, we can write the reverse as if Sin α = Cosβ, then we have α + β =90°.
It is given that, Sin (3x-27) = Cos (5x+5).
Hence, we can write (3x-27) + (5x + 5) = 90
⇒ 8x = 90+27-5 =112
⇒ x = 14°
Therefore, option A. is correct. (Answer)
Answer:
A and E
Step-by-step explanation:
The translation f(x) - 2 means to subtract 3 from the whole function. As an equation this is 3x - 2. On the graph, the function will shift down vertically 2 units.
Answer:
Step-by-step explanation:
Let p be the population proportion of readers who would like more coverage of local news.
As per given , we have
sample size :=1600
sample proportion : 
The confidence interval for population proportion is given by :-

From z-table ,
For 99% confidence interval the z-value is 2.576.
Substitute all the values in the above formula , we get
The 99% confidence interval for the proportion of readers who would like more coverage of local news as






Hence, the 99% confidence interval for the proportion of readers who would like more coverage of local news is
.
1 inch = 80 miles
Half of an inch = 40 miles
80 miles + 40 miles = 120 miles.
1 + 0.5 = 1.5 inches.
The answer is 120 miles