Hi there! I will try my best to help you. If the answers I give you are wrong, I am so sorry.
Answer:
1. <
2. <
3. >
7. Apricot sulphur, large orange sulphur, white-angled sulfur, great white
9. 8 (with the sign), 7/2 (with the sign), 2
10. pi, 12 (with the sign), 3.5
11. -20, 26 (with the sign), 35 (with the sign), 13.5
12. -5.25, 3/2, 6 (with the sign), 5
Answer:
Step-by-step explanation:
In the question, we're given that the notation 
produces a number 
less than the product of 
and 
raised to the power. Let the number produced be 
. As a mathematical equation, we can write this production as 
For 
, we can assign:
Substituting these values into , we get:
Add 2 to both sides:
Take the square root of both sides:
For 
, there are two cases:
Therefore, we have:
The only answer choice applicable is 
.
Answer:
1) x= 15
2) x= 34
3) x= 40
Step-by-step explanation:
1) 4x°= 45° +15° (vert. opp angles)
4x°= 60° <em>(</em><em>simplify</em><em>)</em>
x°= 60° ÷4 <em>(</em><em>÷</em><em>4</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
x°= 15°
Thus, x= 15.
2) (x+12)° +100° +x°= 180° (adj. angles on a str. line)
2x° +12°= 180° -100°
2x°= 80° -12°
2x°= 68°
x°= 68° ÷2
x°= 34°
x= 34
3) 3x°= 120° (vert. opp. angles)
x°= 120° ÷3
x°= 40°
x= 40
<u>Abbreviations</u><u>:</u>
1. vert. opp. angles
- vertically opposite angles
- This means that when 2 straight lines intersect, the angles facing opposite each other are equal.
2. adj. angles on a str. line
- adjacent angles on a straight line
- the sum of the angles that lie on a straight line is 180°
There is a 1/3 chance. Add up the shaded parts for a total of 120 degrees. 120/360 is 1/3
