<h2><u>Answer:-</u></h2>
Given:
Two angles form a linear pair.
It means sum of their measures = 180°.
And,
Measure of one angle is 24° greater than the other.
Let the other angle be x.
→ First angle = (x + 24)
According to the question,
<h3>→ x + x + 24 = 180</h3>
→ 2x = 180 - 24
→ 2x = 156
→ x = 156/2
<h3>→ X = 78°</h3>
<u>There</u><u>fore</u><u>,</u>
- 1st angle = 78°
- 2nd angle = 78° + 24° = 102°
The smallest 2 digit whole number is 10
The smallest 2 digit odd whole number is 11
Answer:
c) There are no black flies in Maine -> False
e) The moon is made of green cheese -> False
Explanation:
A proposition is a statement that poses an idea that can be True or False.
- Do not pass go, is not a proposition is an order, and there is not an answer to that statement.
- What time is it? Is not a proposition is a question and it's response goes beyond True or False.
- There are no black flies in Maine is indeed a proposition because is a statement that can either be True or False.
- 4 + x = 5 is not a proposition because is a statement with an infinite number of answers, in contrast, 4 + 1 = 5 is a proposition because is either True or False.
- The moon is made of green cheese is a proposition because is a statement that can either be True or False.
- 2 n ≥ 100 is not a proposition because is a statement with an infinity number of answer and is not clear whether is True or False, in contrast, 2 ≥ 100 is a proposition because is either True or False.
3x - 3y + 2z = 7
3x + 1y - 3z = -5 ⇒ 6x - 2y - 1z = 2 ⇒ 42x - 14y - 7z = 14
7x - 1y - 2z = 0 ⇒ 7x - 1y - 2z = 0 ⇒ <u>42x - 6y - 12z = 0 </u>
-20y - 19z = 14
-20y + 20y - 19z = 14 + 20y
<u /> <u>-19z</u> = <u>14 + 20y</u>
-19 -19
z = -14/19 - 1 1/19y
3x - 3y + 2(-14/19 - 1 1/19y) = 7
3x - 3y - 1 9/19 - 2 2/19y = 7
3x - 5 2/19y - 1 9/19 = 7
<u> +1 9/19 +1 9/19 </u>
3x - 5 2/19y = 8 9/19
3x - 3x - 5 2/19y = 8 9/19 - 3x
<u /> <u>-5 2/19y</u> = <u>8 9/19 - 3x</u>
-5 2/19 -5 2/19
y = -1 64/97 + 57/97x
3x - 3(-1 64/97 + 57/97x) + 2(-14/19 - 1 1/19y) = 7
3x + 4 95/97 + 1 74/97x - 1 9/19 - 2 2/19y = 7
4 74/97x - 2 2/19y + 3.5056972328 = 7
<u> -3.5056972328 -3.5056972328</u>
4 74/97x - 2 2/19y = 3.494302767
4 74/97x + 2 2/19y - 2 2/19y = 3.494302767 + 22/19y
<u>4 74/97x</u> = <u>3.494302767 + 2 2/19</u>
4 74/97 4 74/97
x = 0.7336523126 + 0.4420141262y
3(0.733652316 + 0.4420141262y) - 3(-1 64/97 + 57/97x) + 2(-14/19 - 1 1/19y)=7
2.200956948 + 1.326042379y + 4 95/97 - 1 74/97x - 1 9/19 - 2 2/19y = 7 -1 74/97x - 0.7792207789y + 5.706654181 = 7
<u> -5.706654181 -5.70665418</u>
-1 74/97x - 0.7792207789y = 1.293345820
(x, y, z) = (0.733652316 + 0.4420141262, -1 64/97 + 57/97x, -14/19 - 1 1/19y)
