Answer:
Step-by-step explanation:
Part A
Since, the given angles are formed at a point are on a straight line, sum of these angles will be 180°.
Part B
(3x - 5)° + (4x + 2)° + (2x + 3)° = 180°
9x = 180
x = 20
Part C
m∠ADB = (3x - 5)°
= (3×20 - 5)°
= 55°
m∠DBK = (4x + 2)°
= (4×20 + 2)°
= 82°
m∠KBC = (2x + 3)°
= (2×20 + 3)°
= 43°
Answer:
-5 ≤ n ≤ 3
Step-by-step explanation:
Firstly we solve the equation two at a time;
5n + 17 ≥ n - 3
5n - n ≥ -3 - 17
4n ≥ -20
n ≥ -5
-5 ≤ n
n - 3 ≥ -15 + 5n
n - 5n ≥ -15 + 3
-4n ≥ -12
-n ≥ -3
n ≤ 3
Therefore,
5n+17 ≥ n–3 ≥ –15+5n, becomes
-5 ≤ n ≤ 3
Answer:
644,262 copies
Step-by-step explanation:
Since this is a proportion problem, and we are given three values and one variable which is the total number of copies sold to date (x). Then we can use the Rule of Three to solve this problem. To do this we simply multiply the diagonal values and divide by the last value which would give us the value of the variable x
39,300 copies <======> 6.1%
x copies <=======> 100%
(100*39,300) / 6.1 = 644,262 copies
Therefore, a total of 644,262 copies have been sold to date.
We are asked to express cos^ 3 x in terms of powers of trigonometric functions not greater than 1
cos ^ 3 x is equal to cos x * cos^2 x.
<span>cos^2 x = 1 - sin^2 x.
</span>sin^2 x = (1 - cos 2x) /2
the answer is cos ^ 3 x = cos x * (1 - <span> (1 - cos 2x) /2 )</span>
Answer:
x=-3 or x=-1
Step-by-step explanation:
Subtract 3 from both sides of your equation, it should look like this |3x+6|+3-3=6-3.
Simplify to get |3x+6|=3
Apply the absolute rule to get 3x+6=-3 or 3x+6=3.
3x+6=-3 : x=-3
3x+6=3 : x=-1
I'm glad I was able to help have a great day!
