Answer:
x = 9
Step-by-step explanation:
m<K = 71°
arc JL = 16x - 2
m<k = ½(arc JL) => inscribed angles theorem
Substitute
71 = ½(16x - 2)
Multiply both sides by 2
71*2 = 16x - 2
142 = 16x - 2
Add 2 to both sides
142 + 2 = 16x - 2 + 2
144 = 16x
Divide both sides by 16
144/16 = 16x/16
9 = x
x = 9
Answer:
Y = 1/2x+2
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
We know the slope
y = 1/2x +b
Substitute the point into the equation
0 = 1/2 (-4) +b
0 = -2+b
b=2
Y = 1/2x+2
Hi there!
In order to solve, we'll need to use the trigonometry function tangent, which is opposite/adjacent.
The side opposite the angle is h, our height.
The side adjacent the angle is 41.
The equation is:
tan(58) = h/41
After multiplying both sides by the tangent of 58, you get that the height is 66m.
Answer: Choice A
The two characteristics here are:
- The boundary line is a dashed line. This visually indicates to the reader "points on the boundary do NOT count as solutions". Think of the boundary as an electric fence you cannot touch, but can get closer and closer to. We aren't including boundary points directly because of the lack of "or equal to".
- The shading is above the boundary, due to the "greater than" sign. This only works if we have y isolated.
The graph of choice B is
since we have a solid line and shading below the solid line. This time points on the boundary are part of the solution set.