Answer:
Angle 1: 115
Angle 2: 65
Angle 3: 115
Angle 4: 65
Angle 5: 115
Angle 6: 65
Angle 7: 115
Step-by-step explanation:
Find the value of angle 2 by applying the vertical angles theorem (65)
Find the value of angle 1 by applying the supplementary angles theorem from the original angle (180 - 65 = 115)
Find the value of angle 3 by applying the vertical angles theorem from angle 1 (115)
Angles 4, 5, 6, and 7 are on a line parallel to the orginal line, cut by the same transversal, so they have the same values, according to the same side interior/exterior angles theorems.
Answer: (1.55, 6.45)
Step-by-step explanation:
The confidence interval for population mean is given by :-

Given : Significance level : 
Critical value : 
Sample size : n=41
Sample mean : 
Standard deviation : 
Then, 99% confidence interval for population mean will be :_

Answer:
square inches
Step-by-step explanation:
Given:
A pie company arranges its three-flavor cheesecake sampler into equal-sized slices: S represents strawberry, C represents chocolate, and P represents plain.
Diameter of the pie = 12 inches
To find: total area of the strawberry portion in the pie
Solution:
Diameter of the pie = 12 inches
Radius of the pie (r) = Diameter / 2 =
inches
Area of the pie =
square inches
Ratio of the strawberry portion in the pie = 
Therefore,
total area of the strawberry portion in the pie =
square inches
It is pretty easy to eliminate the wrong answers by trying the answers in the equations.
a. 7 times 30 is way more than 4
c. 6 times 226 is way more than 172, even after subtracting 64
d. 7 times -74 is way less than 4
The appropriate choice is
... b. x=4, y=30
You can check it with your graphing calculator.
_____
Since you have an expression for y, you can substitute that into the second equation:
... -2x + 6(2+7x) = 172 . . . . substitute for y
... 40x = 160 . . . . . . . . . . . . eliminate parentheses, subtract 12, collect terms
... x = 4 . . . . . . this is sufficient to help you locate the correct answer