Good morning
21 + 3q < 3(13 - q)
21+ 3q < 39 - 3q Here it was -3q and it was on the left side. However when you are switching it to another terms that looks like it you must change the sign as well.
3q + 3q < 39 - 21 Here I bring the common terms together.
6q < 18
Divide both sides by 6
6q/6 < 18/6
q < 3
The given inequality is expressed as
0 < a < 6
This means that the values of a that would satisfy the inequality are numbers between 0 and 6 but both 0 and 6 are not inclusive. This would be shown by not making solid circles at 0 and 6. The number line is shown below
Answer:

Step-by-step explanation:
Cosine is the adjacent side over the hypotenuse (You can remember sin, cos, and tan by using sohcahtoa or sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite over adjacent). I think a picture would help, too.
I attached a picture of what I think the triangle would look like.
If the picture is right (we're assuming it is) and going with what we're given (the triangle was addressed as triangle XYZ, meaning that <u>angle Y is in the middle and that's the one we'll use</u>).
Looking at my picture then:
.
Answer:
Six numbers have perfect square factors
Step-by-step explanation:
The numbers with perfect square factors are those numbers that have perfect squares as one of the numbers that can divide them.
They include:
4 = 2 * 2
16 = 4 * 4
36 = 6 * 6
49 = 7 * 7
64 = 8 * 8
81 = 9* 9
These numbers above have perfect square factors because they are formed from integers that multiply themselves.
Answer:
Incenter is the answer.
Hope it helps!!!
Step-by-step explanation: