a) Two angles are said to be complementary if their sum is equal to 90°
Given : 2x and 4x are complementary angles
⇒ 2x + 4x = 90°
⇒ 6x = 90°
⇒ x = 15°
<u>Answer</u>: The two angles are : 30° and 60°
b) Two angles are said to be supplementary if their sum is equal to 180°
Given : x and 5x are supplementary angles
⇒ x + 5x = 180°
⇒ 6x = 180°
⇒ x = 30°
<u>Answer: </u>The two angles are : 30° and 150°
c) Two angles are said to be complementary if their sum is equal to 90°
Given : x and x + 50° are complementary angles
⇒ x + x + 50° = 90°
⇒ 2x = 40°
⇒ x = 20°
<u>Answer:</u> The two angles are : 20° and 70°
d) If two angles form a linear pair, then the sum of the angles should be equal to 180°
Given : 2x + 10° and 3x + 10° form a linear pair
⇒ 2x + 10° + 3x + 10° = 180°
⇒ 5x = 160°
⇒ x = 32°
⇒ 2x + 10° = 2(32) + 10° = 74°
⇒ 3x + 10° = 3(32) + 10° = 106°
<u>Answer:</u> The two angles are 74° and 106°
Answer:
0.65
Step-by-step explanation:
Confidence interval can be calculated using the Mean and Margin of error with M±ME where
- M is the average expected cold days of typical cold.
- ME is the Margin of error for the confidence interval.
In the question it is given that the researchers reported a 95% confidence interval of 6.9 to 8.2 days for the mean expected duration of typical cold.
The minimum value in the confidence interval is M-ME =6.9
The maximum value in the confidence interval is M+ME=8.2
Then we get 8.2-6.9=1.3=M+ME-(M-ME)=2× ME
From this we get ME=0.65
Answer:
25%
Step-by-step explanation:
25 divided 100 = 0.25
Answer:
14
Step-by-step explanation:
Let the number be x,
3x-6=2x+8
3x-2x=8+6
x=14
