Answer:
∠L = 54°
Step-by-step explanation:
5x + 2x + 3x = 180 (all angles in a triangle add up to 180)
10x = 180
x = 18°
∠L = 3x
sub x = 18
3(18) = 54
∠L = 54°
Y=x+7 would make the slope less steep because the rate is not as big as 6.
Answer:
Part A) 
Part B) 
Step-by-step explanation:
Part A) What is the explicit rule for the number of residents
we know that
In this problem we have a exponential function of the form

where
a is the initial value
b is the base
r is the rate
(1+r)=b
so
Let
y ----> the number of residents
x is the time in years
we have
a=1,000 residents
r=1%=0.01
b=(1+0.01)=1.01
substitute

Part B) How many residents will there be in the town in Year 10?
For x=10 years
substitute in the equation


The equation to find the nth term is:
an = a+(n-1)d
Where a is the first term in the sequence, which is -1 and d is the difference, which in this sequence the next term is found by subtracting 3 from the previous term, so d = -3 and n is the term you want to find.
The equation becomes:
an = -1 +(n-1)(-3)
a24 = -1 + (24-1)(-3) = -1 + (23(-3)) = -1-69 = -70