In parallelogram, LMNO,
Because Opposite angles are equal:
Therefore, 2x = 3x -55
Or x= 55
Now, the sum of angles in a parallelogram is 360
2x+3x-55+5y+5y =360
5x +10y -55 = 360
5*55 -55 + 10y = 360
10y +220 = 360
10y = 140
y=14
Thus, x=55 and y= 14
Sin of an angle is opposite leg divided by hypotenuse.
sin B= 12 / 13
tan of an angle is opposite leg divided by adjacent leg
tan B= 12 / 5
cos of an angle is adjacent leg divided by hypotenuse
cos B= 5 / 13
Answer:
I got -11/15
Step-by-step explanation:
I did 3 (1)/(2)*(2)/(5)-5 (1)/(3)*(2)/(5)
Answer:
or 0.0025 0r 0.25%
Step-by-step explanation:
There are three categories that will get a prize
1) First place = 1 person
2) Second place = 5 persons
3) Third place = 20 persons
A total of 26 people will get prizes.
However, we want to determine your chance to win one of the second place prizes
There are 5 prizes in second place
This means out of a total of 2000 people, you could be among the 5
i.e 5 out of 2000
This is 
This means you have a chance of 1 out of 400
= 0.25%
Answer:
B) f(g(x)) = 15x² + 18
Step-by-step explanation:
Plug the entire equation of g(x) in for the x in f(x)
f(g(x)) = 5(3x² + 3) + 3
f(g(x)) = 15x² + 15 + 3
f(g(x)) = 15x² + 18
