Two angles are supplementary to each other if they are congruent. One angle in a linear pair is a right angle if the other angle is the right angle. When one of the angles is a right angle, the two angles become congruent and neighboring.
Answer:
-2
Step-by-step explanation:
slope: (y² - y¹) / (x² - x¹)
(-1 - 1) / (1 - 0) = -2 / 1 = -2
y = -2x + b
plug in an (x, y) value to find b
1 = -2(0) + b
1 = -2 + b
b = 3
y = -2x + 3
rate of change is -2
Answer:
The time it will take Kalin will be 2h 33m
Step-by-step explanation:
First we will transform the numbers to work more comfortable
d = distance
v = velocity
v = 3 2/3 miles per hour = 3.33 mi/h
d = 4 1/4 milles = 4.25 mi
As the time it takes to go to the beach and back asks us, we have to do the distance 2 times
d = 4.25 mi * 2
d = 8.5 mi
To calculate the time it takes, we simply have to divide the distance by the velocity
t = d/v
t = 8.5 (mi) / 3.33(mi/h)
t = 2.55h
if we also want to express the minutes we can divide after the point .55 by 100 and multiply it by 60
(55/100)*60 = 33
t = 2h 33m
The time it will take Kalin will be 2h 33m
Answer: 5
Step-by-step explanation:
By the inscribed angle theorem.
Cos <span>θ = 0.5333
inverse cosine both sides of equation
cos⁻¹(cos </span>θ) = cos⁻¹(0.5333)
on left side, cosine cancel out
on right side use calculator in radian mode
θ = 1.0083
for the ttriangle, assuming c is the hypotenuse
pythagoras
a² + b² = c²
b² = c² - a²
b = √(c² - a²)
b = √(9² - 2²)
b = 8.77
