Answer:
Step-by-step explanation:
0.2(d - 6) = 0.3d + 5 - 3 + 0.1d
0.2d - 1.2 = 0.4d + 2
- 0.2d = 3.2
d = - 16
B. I mean it’s super easy but I hope it helps
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.
![3x-1 \le -18 \text{ or } 3x-1 \ge 18\\\\3x \le -17 \text{ or } 3x \ge 19\\\\x \le -\frac{17}{3} \text{ or } x \ge \frac{19}{3}](https://tex.z-dn.net/?f=3x-1%20%20%5Cle%20-18%20%5Ctext%7B%20or%20%7D%203x-1%20%5Cge%2018%5C%5C%5C%5C3x%20%5Cle%20-17%20%5Ctext%7B%20or%20%7D%203x%20%5Cge%2019%5C%5C%5C%5Cx%20%5Cle%20-%5Cfrac%7B17%7D%7B3%7D%20%5Ctext%7B%20or%20%7D%20x%20%5Cge%20%5Cfrac%7B19%7D%7B3%7D)
means that 4y + 3 is closer to 0 than 13; it is between -13 and 13.
![-13 \le 4y+3 \le 13\\\\-16 \le 4y \le 10\\\\-4 \le y \le \frac{5}{2}](https://tex.z-dn.net/?f=-13%20%5Cle%204y%2B3%20%5Cle%2013%5C%5C%5C%5C-16%20%5Cle%204y%20%5Cle%2010%5C%5C%5C%5C-4%20%5Cle%20y%20%5Cle%20%5Cfrac%7B5%7D%7B2%7D)
(That last fraction is 10/4 simplified.)
Answer:
Step-by-step explanation:
<ABC = x + 45 = 180
x = 135
<ABE = 45
vertical to <CBD is 45
<EBD= 135 due to <ABD is vertical
Answer:
D) 2 points
Step-by-step explanation:
Compare a couple of points in the clumps of points and that is your answer