Answer:
m∠DEC = 50° to the nearest degree
Step-by-step explanation:
cos D = adjacent side/hypotenuse
= 36/56
m∠DEC = arccos (36/56) =50° to the nearest degree
Answer:
g(3)=31.5-3
Step-by-step explanation:
first you want to find g(1) or g(x). all you have to do for this is divide every number by two, since 2/2 is 1.
g(1)=10.5-1
now to find g(30 you just multiply it all by 3.
g(3)=(10.5-1)*3
g(3)=31.5-3.
The little tic marks on each of the triangle's sides are there to tell you that the sides are all equal, and therefore, yes, it is an equilateral triangle.
Since all the sides are equal, a geometry theorem tells us that all the angles are equal.
You may try to set the two expressions for the two angles equal to each other, but you will still be stuck.
Since all three angles are equal, and since there are a total of 180 degrees in a triangle, each angle has to be 60 degrees.
So to find y, set the expression for angle A equal to 60 and solve for y.
60 = 5y + 10
50 = 5y
10 = y
y = 10
Answer:

» 3y - 9 is equivalent to 3(y - 3)
Let x be the number of song points.
Let y be the number of videos points.
We have the first expression:
5x + 7y = 295
We have the second expression:
10x + 3y=150
Solve for y and x:
x = (295 -7y)/5
10 ((295-7y)/5) + 3y = 150
590 - 14y + 3y =150
590 - 150 = 14y -3y
y=40 points
solving for x:
x = (295-7*40)/5
x=3 points/song
If she buy, all songs for 333 points
number of songs = 333 / 3
number of songs = 111
The answer is 111.