Arrange the given statements in groups to show whether they are always true, sometimes true or false.
Angles in a triangle add up to 180^{o}
x + 5 = 10
A shape with four sides is a rectangle.
The radius is equal to the diameter
x + 5 = 5  x
5 ÷ x = x
x^{2} > x
An angle greater than 90^{o} is obtuse
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Steve Eastop, Margate, Kent, UK
Monday, June 24, 2013
"True or False Level 3 has a lot of ambiguous statements that could be true, false or sometimes be true! For example, the external angles of a REGULAR hexagon are all 60 degrees each making the statement true wheras in the case of an IRREGULAR hexagon, this is not the case necessarily  making the 'sometimes option' applicable. Could you post the solution to this please as I'm pulling my hair out (what little I still have)! Many thanks.
Transum: Steve, thanks so much for your comments and I hope you still have some hair left! You are right, an irregular hexagon does not necessarily have all of its exterior angles equal so that statement would go into the 'sometimes' column. I would like to encourage you to subscribe as the answers are available for subscribers (see above)."
Nick, Waipahu Intermediate
Monday, October 25, 2021
"I just cannot find a solution for x such that 5/x=x
It is in the "sometimes true" category
can you please enlighten me?
Transum: Hello Nick,
Beginning with \( \frac{5}{x} = x \)
Multiply both sides by \(x\) then find the square root of both sides.
Does that help? "