Question 1035522
.
The perimeter of a hexagon is 18x+5. Four sides have the following side lengths: 8x, 3x-2, x+3, 2x-3. 
Choose all the pairs that could be the missing two sides. 


<pre>
a.  4x+2, x+5      <--- bad

b.  2x, 2x+7       <--- good

c.  5x-3, x+10     <--- bad

d.  3x-10, x+17    <--- good
</pre>

<U>The method</U>:


Note that 8x + (3x-2) + (x+3) + (2x-3) = 14x - 2.


Thus two other addends should comlement 14x-2 to 18x+5.


It is easy to check that only options "b" and "d" satisfy this condition.