Answer:
10.6301458127
Step-by-step explanation:
Distance between any two points (x1, y1) and (x2,y2) on a coordinate plane is expressed by the formula = 
given L=(-4,-1) and E =(3, 7
substituting value of coordinates in equation 
we have

Therefore the distance between the points L=(-4,-1) and E =(3, 7) = 10.6301458127
The rule for converting sin into cos and vice versa is:
sin α = cos ( 90° - α ) or cos α = sin ( 90° - α )
In this case:
cos ( 6 x ) = sin ( 90° - 6 x )
sin ( 90° - 6 x ) = sin ( 3 x - 9°)
90° - 6 x = 3 x - 9°
90° + 9° = 3 x + 6 x
99° = 9 x
x = 99° : 9 = 11°
Answer: C ) x = 11°
Well since the triangle is right angled you know that the given angles sum to 90........(angle sum of a triangle 180, 1 angle = 90) so you can say 3x + 6 + 2x - 1 = 90 or 5x - 5 = 90 now solve for x. the smaller angle will be 2x - 1 so substitute your answer for x and you'll have the measure of the smaller angle. hope that helps
Answer:
x=1 y=3
Step-by-step explanation:
x+5y=16
x+3y=10
2y=6
y=3
x+15=16
x=1
verify
1+9=10