Answer:
If a plane contains a line, it contains the points on the line.
Step-by-step explanation:
A plane is a flat and a two-dimensional surface which extends infinitely.
While a line is a straight one dimensional infinite figure that does not have any thickness.
Also, if a line lies in a plane then all points lying in the line also lie on the plane.
Hence, the statement that best justifies the conclusion based on the given information is,
If a plane contains a line, it contains the points on the line.
The answer is B 13.5 miles
Answer:
1. z = 128
2. x = 4.2
3. c = 10
4. w = 100
5. a = 95.2
Step-by-step explanation:
1. Solve for z:
z/16 = 8
Multiply both sides of z/16 = 8 by 16:
(16 z)/16 = 16×8
(16 z)/16 = 16/16×z = z:
z = 16×8
16×8 = 128:
Answer: z = 128
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2. Solve for x:
3.5 x = 14.7
Divide both sides of 3.5 x = 14.7 by 3.5:
(3.5 x)/3.5 = 14.7/3.5
3.5/3.5 = 1:
x = 14.7/3.5
14.7/3.5 = 4.2:
Answer: x = 4.2
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3. Solve for c:
32 = 3.2 c
32 = 3.2 c is equivalent to 3.2 c = 32:
3.2 c = 32
Divide both sides of 3.2 c = 32 by 3.2:
(3.2 c)/3.2 = 32/3.2
3.2/3.2 = 1:
c = 32/3.2
32/3.2 = 10:
Answer: c = 10
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4. Solve for w:
(2 w)/5 = 40
Multiply both sides of (2 w)/5 = 40 by 5/2:
(5×2 w)/(2×5) = 5/2×40
5/2×2/5 = (5×2)/(2×5):
(5×2)/(2×5) w = 5/2×40
5/2×40 = (5×40)/2:
(5×2 w)/(2×5) = (5×40)/2
(5×2 w)/(2×5) = (2×5)/(2×5)×w = w:
w = (5×40)/2
2 | 2 | 0
| 4 | 0
- | 4 |
| | 0
| - | 0
| | 0:
w = 5×20
5×20 = 100:
Answer: w = 100
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5. Solve for a:
a/14 = 6.8
Multiply both sides of a/14 = 6.8 by 14:
(14 a)/14 = 14×6.8
(14 a)/14 = 14/14×a = a:
a = 14×6.8
14×6.8 = 95.2:
Answer: a = 95.2
Answer:
Step-by-step explanation:
x + y = -20......multiply by -6
6x - 5y = -20
-----------------
-6x - 6y = 120 (result of multiplying by -6)
6x - 5y = -20
---------------add
-11y = 100
y = -100/11 <======
x + y = -20
x + (-100/11) = -20
x - 100/11 = -20
x = -20 + 100/11
x = -220/11 + 100/11
x = - 120/11 <========
solution is : x = -100/11 and y = -120/11 or (-120/11 , -100/11)
10 1/2 + 9 3/8 + 7 5/6 = 27 17/24 hot dogs
Answer is A