Answer:
65°
Step-by-step explanation:
The sum of the angles of a triangle is always 180°. Meaning, ∠P + ∠Q + ∠R = 180.
(2x-9) + (2x+4) + x = 180
Combine like terms:
5x-5 = 180
5x = 185
x = 37
P = (2x - 9) = 2(37) - 9 = 74 - 9 = 65
Use the distance formula to get your answer. The distance formula is d=sqrt(x2-x1)^2+(x1-y1)^2 Once you plug your coordinates into it, you'll get your answer.
We can simplify 2√5+3√5-√5 because they all have the same radical, √5. Now that we know this, we can imagine that there are no radicals, and that we are just adding numbers. This results in our expression being 2 + 3 - 1. This gives an answer of 4. Finally, we add the √5 to the 4 to get 4√5.
Answer:
$103.75
Step-by-step explanation:
we know that
Karen earns $62.25 for working 9 hour
so
using proportion
Find out how much she will earn for working 15 hours
Answer: a = -2 and c = 7
Step-by-step explanation:
(this answer uses some basic calculus)
We know that 
, and since 
is a maximum of 
, then 
. That means 
, so 
. Then since 
, we have 
, so 
.
