Answer:
39
Step-by-step explanation:
3x + 12 = 6x - 15
6x - 3x = 12 + 15
3x = 27
x = 9
KJ = KH = KG = 3x + 12
KG = 3.(9) + 12
KG = 27 + 12
KG = 39
I hope I helped you.
Answer:
6 and 4
Step-by-step explanation:
Let one number be x.
Then another will be : 4x - 20
In accordance with the question;
x + 4x - 20 = 10
5x = 10 + 20
x = 30/5
= 6
x = 6
4x - 20 = 4×6 - 20 = 4
So, the numbers are 6 and 4.
Answer:
4, 5 and 6
Step-by-step explanation:
Add 19 to both sides:
-4x > 52
Divide by -4
x > -13 (Flip the sign when multiplying or diving by a negative)
4, 5 and 6 satisfy this
we can factor the whole thing:
(2sin(x) -1)(sin(x)+1) = 0.
Therefore, sin(x) = -1 and sin(x) = 1/2.
For the first one x = 3π/2 and the second is π/6 and 5π/6
So 3π/2, π/6 and 5π/6 are the solutions.
I do kind of have a problem with this because it doesn't mention if you should go over 360°. Otherwise, you have to add in an 2nπ into the equations like 3π/2 + 2nπ; 
but I don't know if that is necessary for you.
Answer:
25.2
Step-by-step explanation:
6/5 is 1.2, so it takes 1.2 minutes to run one lap.
This means 21 x 1.2 = the minutes it takes to run 21 laps around the track.
Therefore it takes 25.2 minutes to run around the track 21 times.
