Answer:
5.1 < x < 16.4
Step-by-step explanation:
If we are given 2 sides of a triangle and need to know the third side (the range of values), we can say that the third side will fall between the DIFFERENCE and SUM of the other 2 sides.
If the third side is c, and other two sides are a and b (where a < b), then the third side would be:
b - a < c < a + b
Thus, here we have third side as "x" and other 2 sides as 5.65 and 10.75, so x would be:
10.75 - 5.65 < x < 10.75 + 5.65
5.1 < x < 16.4
That's the first answer choice: 5.1 < x < 16.4
