Wait what is this? Is this supposed to be something
90°, since the two line segments are perpendicular to each other.
Divide both sides by 2.
<span><span><span><span><span>2<span>(<span>|<span>x+5</span>|</span>)</span></span>2</span></span></span>=<span><span><span>162
</span></span></span></span><span><span>|<span>x+5</span>|</span>=8
</span>Solve Absolute Value.
<span><span>|<span>x+5</span>|</span>=8
</span>We know either<span><span>x+5</span>=8</span> or <span><span>x+5</span>=<span>−8
</span></span><span><span>x+5</span>=8 </span>
<span><span><span>x+5</span>−5</span>=<span>8−5</span></span>(Subtract 5 from both sides)
<span>x=3</span><span><span>
</span></span>Answer:<span><span>x=<span><span><span><span>3</span> </span></span></span></span></span>
<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.
