Answer:
C. 92 degrees
Step-by-step explanation:
Given that the 
92° which is one of the angles of the quadrilateral WXYZ
The quadrilateral is first rotated by 270° about the origin and then translated 2 units up, the new position of the quadrilateral is W'X'Y'Z'.
The shape of the quadrilateral is remained unchanged due to rotation and translation, so all the angles of the final quadrilateral W'X'Y'Z' is the same as the angles of the given quadrilateral WXYZ.
So,
By using the given value,
92°
Hence, option (C) is correct.
Answer:
Step-by-step explanation:
OMG! Don't do that! I am so sorry this is happening to you. Look I don't know how to comfort you. IF he keeps doing this tell your mom or litterally call 911. If he did it just on that day then try confronting him on it. And ask him why he did that! Don't self-harm you deserve so much more than that! You are awesome!
Answer: 2.25 km
Step-by-step explanation:
2 cm = 0.5 km
9 cm = (9 x 0.5)/2
= 2.25 km
Answer:
7 18-inch wreaths
26 22-inch wreaths
Step-by-step explanation:
Let's say the number of 18-inch wreaths is x and the number of 22-inch wreaths is y.
We know that the number of 22-inch wreaths sold was 5 more than 3 times the number of 18-inch wreaths sold. We can write this into the expression as:
y = 5 + 3x
We also know that each 18-inch wreath was $20 and each 22-inch wreath was $25. The total cost was $790, so:
20x + 25y = 790
Now, let's substitute 5 + 3x in for y in the second equation:
20x + 25y = 790
20x + 25(5 + 3x) = 790
20x + 125 + 75x = 790
95x + 125 = 790
95x = 665
x = 7
Plug this value into y = 5 + 3x to find y:
y = 5 + 3x
y = 5 + 3 * 7 = 5 + 21 = 26
So, 7 18-inch wreaths were sold and 26 22-inch wreaths were sold.
Answer:
For the first question the sample size is n= 3850
And replacing we got:
We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.
Step-by-step explanation:
We have the following info given:
represent the estimated proportion of all people who like the movie
represent the sample size selected
For the first question the sample size is n= 3850
For the second part they gives to us the margin of error:
We know that the confidence interval for a population proportion 
of interest is given by:
And the margin of error is given by:
So then the confidence interval can be found with this formula:
And replacing we got:
We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.
