Answer:
x = 20°
Step-by-step explanation:
Given
3x + 80° + 2x = 180° [ being linear pair ]
5x + 80° = 180°
5x = 180° - 80°
5x = 100°
x = 100° / 5
Therefore x = 20°
Hope it will help. :)
The force is 1.6N and the distance between them is 1.3 meters
<h3>The force between them</h3>
An inverse variation from force to the square of distance is represented s:
k = Fd^2
Where k represents the variation constant
When F = 10, d = 2.
So, we have:
k = 10 * 2^2
k = 40
Substitute k = 40 in k = Fd^2
Fd^2 = 40
When d = 5, we have:
F * 5^2 = 40
This gives
25F = 40
Divide by 25
F = 1.6
Hence, the force is 1.6N
<h3>The distance between them</h3>
In (a), we have:
Fd^2 = 40
When F = 25, we have:
25 * d^2 = 40
This gives
25d^2 = 40
Divide by 25
d^2 = 1.6
Take the square root of both sides
d = 1.3
Hence, the distance between them is 1.3 meters
Read more about variation at:
brainly.com/question/14254277
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Answer:
2x-3 < 7 = x ≤ 5 and 5 - x ≤ 8 = x ≥ - 3
Step-by-step explanation:
Answer:
The equation that can be used to find d is 
Step-by-step explanation:
Let
d -----> the number of dogs
we know that
The linear equation that represent this situation is
Solve for d
Subtract 17 both sides
Divide by 2 both sides
Well first you need to find the LCM (least common multiple) of 4 and 6 (the denominators) so that you can subtract them from each other.
4: 4,8,12,16,20
6: 6, 12, 18, 24
The LCM is 12.
Now we can subtract the two mixed numbers by turning them into improper fractions.
5 3/12 -> 27/12
3 10/12 -> 42/12
42-27=15
The fraction is 15/12, which simplifies into 1 1/4.
She cut off 1 1/4 feet of the board.
