Answer:
See below.
Step-by-step explanation:
It can really help to think when you see |expression| that it means the distance from expression to zero.
(a) |x| < 7 means the distance from x to 0 is less than 7. That puts x between -7 and 7. The solution set is -7 < x < 7.
(b) |x + 3| < 9 means that the distance from x + 3 to 0 is less than 9. That puts x + 3 between -9 and 9:
-9 < x + 3 < 9 Now subtract 3 from all three parts.
-12 < x < 6
(c) |y - 8| > 11 means that the distance from y - 8 to 0 is more than 11 units. That puts y - 8 in one of two places: left of -11 or right of 11.
(g) 
means that the distance from 3x - 1 to 0 is more than (or equal to) 18. Another way to say it is, 3x - 1 is farther from 0 than 18 units. That puts 3x - 1 in one of two places: to the left of -18 or to the right of 18.
means that 4y + 3 is closer to 0 than 13; it is between -13 and 13.
(That last fraction is 10/4 simplified.)
Answer:
Step-by-step explanation:
- Jelly beans weight = 10 pounds
- Each bag = 2/3 pound
<u>Number of bags required:</u>
- 10 ÷ 2/3 = 10 × 3/2 = 30/2 = 15 bags
Answer:
m∠E= 37°
m∠F=37°
Step-by-step explanation:
Total angle value: 180°
180-106=74
The lengths are the same, so we can determine that the angles E and F are the same. So we divide 74 by 2
74/2= 37
m∠E= 37°
m∠F=37°
Hope this helps! Have a nice day :)
The interior angle plus the exterior angle totals to 180 so you would take 180 and subtract 157.5 and get 22.5
next you would take 360 for the total of degrees that he external angles totals up to.
so 360 divided by 22.5 equals the number of sides you shape has and that would be 16 sides.
