The midsegment theorem says that the midsegment is half the third side and parallel as well. 20*2 is 40 so x = 35
Answer: ($3.532, $4.166)
Step-by-step explanation:
Given : Significance level : 
Critical value : 
Sample size : n= 157
Sample mean : 
Standard deviation : 
The confidence interval for population mean is given by :_


Hence, the 0% confidence interval for the average tip given at this restaurant = ($3.532, $4.166)
Answer:
Step-by-step explanation:
m and n are parallel and cut by a transversal
<u>Finding x</u>
- 8x + 12 + 2x + 18 = 180 (consecutive interior angles sum up to 180°)
- 10x + 30 = 180
- 10x = 150
- x = 15
<u>Finding y</u>
- 8x + 12 = 3y - 18 (vertical angles are equal)
- 8(15) + 12 = 3y - 18
- 132 = 3y - 18
- 150 = 3y
- y = 50
Move the decimal to the right 3 places: 5 x 10⁻³