Answer:
Property of Addition
Step-by-step explanation:
For all real numbers x, y, and z ,
if x = y, then x + z = y + z .
if a = 5, and 5 + z = 14, so a + z = 14
Use mental math to solve each equation:
1.). - 52 = - 52 + k
Simplify both sides.
- 52 = - 52 + k
Flip Equation:
k - 52 = - 52
Add 52 both sides:
k - 52 + 52 = -52 + 52
k = 0, Answer: K = 0
3.). x - 155 = 15
Add 155 to both sides:
x - 155 + 155 = 15 + 155
x = 170, Answer: 170
5.). 2,000 + y = 9,500
Simplify both sides:
y + 2000 = 9500
Subtract 2000 from both sides:
y + 2000 - 2000 = 9500 - 2000
y = 7500, Answer: 7500 Graph: 7500
7.). 111 + f = 100
Simplify both sides:
f + 111 = 100
Subtract 111 from both sides:
f + 111 - 111 = 100 - 111
f = - 11, Answer: f = - 11
Solve each equations:
9.). m - 17 = - 8
Add 17 to both sides:
m - 17 + 17 = - 8 + 17
m = 9, Answer: m = 9
11.). - 44 + n = 36
Simplify both sides of the equations:
n - 44 = 36
Add 44 to both sides:
n - 44 + 44 = 36 + 44
n = 80, Answer: n = 80
13.). x - 255 = 671
Add 255 to both sides:
x - 255 + 255 = 671 + 255
x = 926, Answer: x = 926
15.). x + 14 = 21
Subtract 14 from both sides:
x + 14 - 14 = 21 - 14
x = 7, Answer: x = 7
17.). - 19 = k + 9
Flip equation:
K + 9 = - 19
Subtract 9 from both sides:
k + 9 - 9 = - 19 - 9
k = - 28, Answer: k = - 28
19.). 36 + n = 75
Simplify both sides of equation:
n + 36 = 75
Subtract 36 from sides:
n + 36 - 36 = 75 - 36
n = 39, Answer: n = 39
21.). 41 + k = 7
Simplify both sides of equation:
k + 41 = 7
Subtract 41 from both sides:
k + 41 - 41 = 7 - 41
k = - 34, Answer: k = - 34
23.). - 88 + z = 0
Simplify both sides of equation:
z - 88 = 0
Add 88 to both sides:
z - 88 + 88 = 0 + 88
z = 88, Answer: z = 88
Hope that helps!!!! :)
Answer:
166
Step-by-step explanation:
If the four lines are tangent to the circle, know that:
NA = KA
AD = LD
LC = MC
MB = NB
The question stated that:
NA = 18 --> KA is also 18
BN = 11 --> MB is also 11
AD = 34 --> LD is also 34
BC = 31 --> MC is 20 (Because BC is BM + MC and BM is 11)
We can just add these numbers.
(18+18) + (11 + 11) + (20+20) + (34+34)
= 36 + 22 + 40 + 68
= 76 + 90
= 166
The perimeter of ABCD is 166.
Answer:
b < 10
Step-by-step explanation:
-b - 2 > 8
Add 2 to both sides.
-b > 10
Divide both sides by -1. When dividing by a negative, flip the inequality sign.
b < 10.
Answer:
15x + 180 ≥ 900
x ≥ 48
Step-by-step explanation:
x = amount of laptops needed to sell.
Equation:
15x + 180 ≥ 900
15x ≥ 720
x ≥ 48
Check:
15(48) + 180 = 900
720 + 180 = 900
900 = 900 (It's good, she needs to make at least 900, so she needs to sell at least 48 laptops).
