Answer:
x = 13°
Step-by-step explanation:
The total must be 180°.
105° + 62° = 167°
180° - 167°
13°
Answer:
198 / 9 = 22
Step-by-step explanation:
Answer and Step-by-step explanation:
(a) Given that x and y is even, we want to prove that xy is also even.
For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.
(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:
Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.
(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.
The solution to the compound inequality given as 6b < 36 or 2b + 12 > 6 is b < 6 or b > -3
<h3>How to solve the
compound inequality?</h3>
The compound inequality is given as:
6b < 36 or 2b + 12 > 6
Evaluate the like terms in the individual inequalities
6b < 36 or 2b > -6
Divide the individual inequalities by the coefficients of b
b < 6 or b > -3
Hence, the solution to the compound inequality given as 6b < 36 or 2b + 12 > 6 is b < 6 or b > -3
Read more about compound inequality at
brainly.com/question/1485854
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Answer: would it be blue?
Step-by-step explanation: The reason I am saying this is because the formula for green is yellow and blue. And to make purple the formula is blue and red.
