Assuming PQRS is a parallelogram, we have PQ = RS, and angles S and R are supplementary so their measures sum to 180°.
So
5<em>x</em> = <em>x</em> + 12
4<em>x</em> = 12
<em>x</em> = 3
→ PQ = 5<em>x</em> = 15
and
12<em>z </em>° + 6<em>z</em> ° = 180°
18<em>z</em> ° = 180°
<em>z</em> = 180/18 = 10
→ m∠<em>S</em> = 12•10° = 120°
Answer with explanation:
The given trigonometric Function is,
y= cos x
→The maximum value of , cos x , is 1, at x=0 degree.
Cos x =1
→Cos x = Cos (0)degree,

→ for, k= An Integer
x=2 k π→→General formula that gives the x-coordinates of the maximum values for y = cos(x)
Ordered Pair =(x,y)=(2 k π, 1)
For, any value of , k in the given equation, y will be always 1.
9514 1404 393
Answer:
D. 210
Step-by-step explanation:
If b is the number of boys in the choir, the ratio of boys to girls is ...
b/150 = 7/5
b = 150(7/5) = 30(7) = 210
There are 210 boys in the choir.

and

, or as a rounded decimal 85.28 and 85.28.
To find the smallest possible sum of roots for any product, the answer is always whatever numbers are closest together. This fact can be derived by the fact that the greatest area we can enclose with a given length is a perfect square. So we can take the square root of 7272 and use that, since they will be exactly the same number.
If you are looking for whole numbers, you would have to go up or down until you find a factor of 7272 closest to the square root. In this case that would be 72 and 101.
Yes because 18% is an abbysmal amount for a tip