<h3>
Answer:</h3>
5
<h3>
Step-by-step explanation:</h3>
Let n represent the numerator of the original fraction, which is n/(n+4). After adding 1/2, the value is (2(n+4)+1)/(2(n+4)), so we have ...
n/(n+4) + 1/2 = (2(n+4)+1)/(2(n+4))
Simplifying gives ...
... (2n +(n+4))/(2(n+4)) = (2n +9)/(2(n+4))
Since the denominators are the same, we can work only with the numerators.
3n +4 = 2n +9
n = 5 . . . . . . . . . . . subtract 2n+4
_____
<em>Check</em>
The original fraction is 5/(5+4) = 5/9. Adding 1/2 gives ...
5/9 + 1/2 = 10/18 + 9/18 = 19/18
Note the numerator of this last fraction is 1 more than the denominator, which is twice the original denominator.
Answer:
Lines are parallel if the sum of external angles of same side is 180°.
Step-by-step explanation:
Let one of the external angle is α°.
and other external angle is β° which is equal to α°/11. (∵ Given on is 11 times smaller than the other.)
Also β° = 1/6 of the right angle = (1/6)×90° = 15°.
β° = α°/11 , ⇒ α° = 11×β° = 11×15° = 165°.
α°+β° = 165° + 15° = 180°.
Here, sum of the two external angles = 180° ⇔ the given lines are parallel.
