Answer:
m<ABO = 22 deg
Step-by-step explanation:
A tangent intersects a circle at the point of tangency making a right angle with the radius drawn to that point. That means that <BAO is a right angle and measures 90 deg. That makes the other two angles of the triangle complementary with a sum of 90 deg.
m<O + m<B = 90
68 + m<B = 90
m<B = 22
Answer: m<ABO = 22 deg
 
        
             
        
        
        
Answer: -15 meters
Step-by-step explanation:
Given: The Tunnel of Fear ride climbs straight up to its peak above the ground = 50 meters or +50 meters
Then, it drops into an underground tunnel  = 65 meters or -65 meters
Thus, the elevation of the tunnel relative to the ground= +50-65=-15 meters
Hence, the elevation of the tunnel relative to the ground= -15 meters.
 
        
                    
             
        
        
        
If there are 12 boys and 13 girls, there are 25 kids in the class total.  This means that 13/25 are girls.  In order to know the probability, you must divide 13 by 25, which gets an answer of 0.52, which is equal to 52%.
52%
        
                    
             
        
        
        
With all trig functions, the period can be calculated with the equation PB = 2π.
P = period 
B = anything in the tangent part of the equation except the x. (in this case, it would be 6)
When we plug in 6 for B, we get 6P = 2π.
Divide both sides by 6 and you get P = 2π / 6
OR
P = π/3