Step-by-step explanation:
2. Given: Angles 1 and 2 are a linear pair. Prove that x = 11 ma m = 11x-6 m2 = 4x+21 Statements Reasons 1) Angles 1 and 2 are a linear pair. 1) Given 2) Angles 1 and 2 are 2) Linear Pair Postulate supplementary 3) mZ1 + m2 = 180° 3) 4) 11x - 6 + 4x + 21 = 180 4) 5) 15x + 15 = 180 5) 6) 15x = 165 6) 7) x = 11 7)
I am not sure about my answer i dont want u to get wrong this is all i know i hope it was helpful
The results for the matching between function and its period are:
- Option 1 - Letter D
- Option 2 - Letter A
- Option 3 - Letter C
- Option 4 - Letter B
<h3>What is a Period of a Function?</h3>
If a given function presents repetitions, you can define the period as the smallest part of this repetition. As an example of periodic functions, you have: sin(x) and cos(x).


The period of sin(x) and cos(x) is 2π.
For solving this question, you should analyze each option to find its period.
1) Option 1

Thus, the option 1 matches with the letter D.
2) Option 2

Thus, the option 2 matches with the letter A.
3) Option 3

Thus, the option 3 matches with the letter C.
4) Option 4

Thus, the option 4 matches with the letter B.
Read more about the period of a trigonometric function here:
brainly.com/question/9718162
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The smallest of the three consecutive integers is 24.
<h3>How to solve algebraic word problems?</h3>
Let the 3 consecutive integers be;
x, y and z
Thus;
y = x + 1
z = x + 2
Now, we are told that their sum is equal to 4 times the largest number minus 29. Thus;
x + x + 1 + x + 2 = 4(x + 2) - 29
3x + 3 = 4x + 8 - 29
4x - 3x = 3 + 21
x = 24
Thus, we can conclude that the smallest of the three consecutive integers is 24.
Read more about algebra word problems at; brainly.com/question/13818690
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Answer:
0
Step-by-step explanation:
Simplify the following:
a - a
Hint: | Look for the difference of two identical terms.
a - a = 0:
Answer: 0