Answer:
6x-5 if x<5
Step-by-step explanation:
If x<5, then x-5<0.
If x-5 is negative, then |x-5)=-(x-5) or -x+5.
5x - |x - 5|
5x-(-x+5) provided x<5
5x+x-5 by distributive property
6x-5 combined liked terms
Maria will do more laps this year, assuming that last year they didn't do one or zero laps.
Answer:
48°
Step-by-step explanation:
We can solve this using our knowledge on tangents of an angle. Remember, tangents are the opposite leg divided by the leg adjacent to that angle.
This means the tangent of x° = 
. Now that we know the tangent ratio, we can find the angle with inverse trigonometric ratios. These kinds of ratios give us the opposite of the tangent - which would lead to the angle measure we're looking for. The equation would look like this:
Using a calculator, the answer would be:
Rounding this to the nearest degree would give us 48° as our answer! I hope this was clear enough.
