Answer:
x = 65°
Step-by-step explanation:
See the attached diagram.
Given lines, p and q are parallel and line a and b are parallel to each other.
So, the closed figure that formed is a parallelogram.
Then, two opposite angles indicated by y are equal.
Now, angle y and angle 50° makes a straight line so, they are supplementary.
Then, 50 + y = 180
⇒ y = 180 - 50 = 130°
Now, angles 2x and y are vertically opposite angles.
Therefore, 2x = 130°
⇒ x = 65° (Answer)
Answer:
A = picture attached
B = 51 in²
Step-by-step explanation:
The picture attached is the answer for part A. You use the dimensions you already know from the first picture to fill in the net of the slice of pie.
Area of the triangle = 1/2 (base × height)
A = 1/2 (4 × 6) = 1/2 (24) = 12
The area of the triangle is 12. The top is a triangle, but the bottom is also a triangle with the same area. Therefore, the area of the two triangles combined is 24 in². Next, we have to find the area of the rectangle at the sides of the pie.
Area of rectangle = length × width
A = 5 × 2.5 = 12.5
Since there are two rectangles with the same area on both sides of the pie, we can double it and get 25 in². We still have one rectangle left, the one at the back of the pie.
A = 6 × 2.5 = 15
Add the areas altogether to get the answer.
24 + 12.5 + 15 = 51.5 in²
I hope this helps. Sorry if Part B's answer is wrong.
Answer:
hello your question is incomplete attached below is the complete question
answer : ( 184.019 , 206.219 )
Step-by-step explanation:
The 95% confidence interval for the mean auditory response time for subjects with a visual response time of 200 ms can be calculated using this relationship below
y = Bo + B1 ( 200 ) = 195.118621 , sy =
hence a 95% confidence interval = 195.118621 ± 2.306( 4.813492) i.e. ( 184.019 , 206.219 )
attached below is the remaining part the solution
