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:
1
Step-by-step explanation:
We know that the mathematics test scores are normally distributed with mean μ=82 and standard deviation σ=8.
We know that the central limit theorem states that a selected sample from a normal distribution with mean μ and standard deviation σ is also normally distributed with mean μxbar and standard deviation σxbar.
Also , the sample mean of sampling distribution is μxbar=μ, where μ is population mean.
The standard deviation of sampling distribution is σxbar=σ/√n where n is the sample size and σ is population standard deviation.
The given sample size=n=64.
So, the required standard deviation of sampling distribution is
σxbar=σ/√n
σxbar=8/√64
σxbar=8/8
σxbar=1.
The answer is A.
Divide 300 by the number of faces of a cube.
Since there are 6 faces on a cube then we divide it.
300 ÷ 6 = 50.
So exactly 50 times.
Hope this helps :)
