How do you find the measure of an angle where its supplement is 10 degrees more than its complement?
Work in steps:
The supplement and complement are defined in terms of the angle, so pick a variable to stand for the angle.
Then create an expression
, in terms of that variable, to stand for the supplement.
Create another expression, again in terms of the variable, to stand for the complement.
Then create an equation for "(the supplement) is (ten more than) (the complement)".
Then solve the equation.
Find all sets of three consecutive multiples of 6 when the sum is between -6 and 70.
A "multiple of six" is a number of the form "6n". What would be an expression for the "next" "multiple of six"? What would be the next multiple after that?
What then would be the sum of the three multiples? (Simplify the polynomial expression!)
What compound inequality would indicate "(the sum) is between (-6) and (70), inclusive"?
Solve the inequality, and then create the listing of sets of multiples, working from the values of "n".
Are you supposed to list out the integer members of the set? Graphing the real-number solution? Or something else?
There's also a question that has "|" in the place of the colon. What's the difference?
In my experience, there is no difference.
(Wouldn't it be nice if they picked a set-notation standard, and then stuck to it?!?)