Answer:
the slope is 3 and 1 and the y intercept is 1 and 1
Step-by-step explanation:
<span>For 50°, answer is 65°
For 90°, answer is 45°
For 150°, answer is 15°
A linear pair of angles adds up to 180° by definition. So the new angle drawn by the ray will have an angle of 180°-a where a is the measure of the original angle. And the bisector of that new angle will be (180°-a)/2. So with that in mind, let's calculate the new measures of the described construction.
50°: (18° - 50°)/2 = 130°/2 = 65°
90°: (180° - 90°)/2 = 90°/2 = 45°
150°: (180° - 150°)/2 = 30°/2 =15°</span>
Answer:
Step-by-step explanation:
Consider this population data set:4, 6, 7, 11, 12, 18, 26, 23, 14, 31, 22, and 12. The values 11, 31, 22, and 12 constitute a ra
irga5000 [103]
Answer:
3.5
Step-by-step explanation:
Find the Mean of the Population Data Set
4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186
186 ÷ 12 = 15.5
Find the Mean of the Sample Data Set
11 + 31 + 22 + 12 = 76
76 ÷ 4 = 19
Subtract
19 - 15.5 = 3.5
Answer: <em>The sample mean is more than the population mean by 3.5</em>
Multiply the first equation by 2
2x + 2y =30
now we’ll add the second equation to the first equation
2x + 2y =30
-2x+5y= -2
7y=28
divide by 7
y=4
now plug y back into the first equation
x + 4 = 15
subtract 4
x=11
