Answer:
41°
Step-by-step explanation:
The angle addition theorem tells you ...
m∠MNR + m∠RNP = m∠MNP
Filling in the given values, you have ...
43° + m∠RNP = 84°
Subtract 43° from both sides of the equation to find the angle of interest:
m∠RNP = 84° - 43° = 41°
The measure of angle RNP is 41°.
Answer:
The ride will take 2 h
Step-by-step explanation:
From the question,
Deon plans to ride a 20-mi bicycle trail, that is the total distance he plans to cover is 20-mi
Distance, d = 20 mi
Also, his average speed is 10 mi/h
rate of speed, r = 10 mi/h
To determine how many hours the ride will take,
From the formula,
d = rt
where
d is the distance covered
r is the average rate of speed
and t is the time.
We can solve for t, such
d = rt becomes
t = d/r
Now, from the question
d = 20 mi
r = 10 mi/h
∴ t = (20 mi) / (10 mi/h)
t = 2 h
Hence, the ride will take 2 h (hours)
Answer:
$700
Step-by-step explanation:
For this case we have a function of the form:

Where,
A: it is the initial amount
b: is the growth rate
x: is the number of years
Substituting values we have:

We have a growing exponential function because the value of b is greater than 1.
Answer:
See attached image.
Answer:

Step-by-step explanation:
we know that
The triangle HPY is a right triangle (because the angle ∠HYP is a right angle)
Applying the Pythagorean Theorem
substitute the given values
Solve for HY
