Answer:
A
Step-by-step explanation:
In a right triangle, the side opposite to the 90 degree angle (here, side opposite to angle A) is known as the hypotenuse.
Also, the side that is "opposite" to the angle given (here side opposite is y to angle given 30 degrees) is the opposite side.
Since we want to find "opposite" and have "hypotenuse" , recalling trig ratios, we can say opposite/hypotenuse is the ratio SINE, so we can write:
We solve for y:
Since the answer choice has angles in radians, we recall 30 degrees is 
radians.
Thus, the correct answer is 
, or option A
Answer:
The green dots in this picture would be where the points go:
Answer:
11 with 3 left over
Step-by-step explanation:
4 x 20 = 80
80 / 7 = 11 with remainder of 3
Answer:
m∠AEC = 139°
Step-by-step explanation:
To make the equations easier to write, let's say all measures are in degrees, and define ...
p = m∠AEB = 11x -12
q = m∠CED = m∠CEB = 4x +1
Then ...
p + 2q = 180
(11x -12) + 2(4x +1) = 180
19x -10 = 180 . . . . . . . . . . . . collect terms
19x = 190 . . . . . . . . add 10
x = 10 . . . . . . . . . . . divide by 19
p = 11x -12 = 110 -12 = 98
q = 40 +1 = 41
The angle of interest is ...
m∠AEC = p +q = 98 +41
m∠AEC = 139 . . . . degrees
Answer:15
Step-by-step explanation:5 and 3 both go into 15
