Answer:
62
Step-by-step explanation:
the sum of all angles in a triangle should be 180°
180-56= 124
124÷2= 62
x= 62
Answer:
It is currently 7:00PM for me
Answer:
cos(x-30)=1/2
Step-by-step explanation:
We use the following relationship to obtain cos(x)

From that, we have that cos(x)= sqrt(1-1/4)=sqrt(3) / 4
To obtain the value of cos(x-30), lets remember the following expression:

Therefor, we can use that to obtain our desired function cos(x-30)
cos(x)*cos(30)+sin(x)*sin(30)

=2/4=1/2
Answer:
1000 text messages
Step-by-step explanation:
y=0.05x+50
Y=0.02x+80
50+0.05x=0.02x+80
0.05x=0.02x+30
0.03x=30
1000=x
Answer:
4
Step-by-step explanation:
Given that three pairs of gloves- a red pair, a blue pair, and a green pair-are in a drawer. The gloves are removed at random without returning any to the drawer.
We have to find the minimum number that must be removed in order to guarantee having a matched pair of gloves
No of different colours = 3 (red, blue, green)
Hence no of gloves that must be removed = 3+1
If 4 gloves are removed, only 3 can be of different colours 1 will have same colour as any one of the three.
So a pair of same colour would be obtained
Answer is 4