The correct answer is option C the error is that the linear pair of the theorem can not be used to say that ∠AOP is complementary to ∠POB
<h3>What is the Linear pair theorem?</h3>
The linear pair postulate or linear pair theorem in mathematics states the same thing mathematically. The sum of the measurements of two angles that make up a linear pair is 180°.
In the proof of the given question, it is given that the ∠AOP and ∠POB are complementary angles by linear pair of theorem but the linear pair of the theorem is applied to the angles with the sum of 180.
Therefore the correct answer is option C the error is that the linear pair of the theorem can not be used to say that ∠AOP is complementary to ∠POB
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Answer:
3, 3, -60
Step-by-step explanation:
The area of a rectangle is equal to the product of its length and width. So, to create an equation representing the area of this rectangle, multiply the length, , and the width, , and set the product equal to the area, 54.
Then rewrite the equation using the distributive property, and move all terms to the left side of the equation.
So, the equation to find the value of n is .
Answer:
3y² / x⁴z⁶
Step-by-step explanation:
12xy³z⁶ / 4x⁵yz¹² = 12/4 * x/x⁵ * y³/y * z⁶/z¹²
= 3 * 1/x⁴ * y² * 1/z⁶
= 3y² / x⁴z⁶
Answer:
1/3 + 3/4 + 4/6 +1/2 =
Step-by-step explanation:
1/6 + 4/6 = 5/6
3/4 + 1/4 = 4/4
5/6 + 4/4 = 9/12
Considering the given discrete probability distribution, it is found that the expected share is of 10%.
<h3>What is the mean of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
In this problem, the distribution is given by:
Hence the expected value is given by:
E(X) = 0.2 x 0.05 + 0.6 x 0.1 + 0.2 x 0.15 = 0.1 = 10%.
The expected share is of 10%.
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