Answer:
Length of longer length=132 inches
Length of shorter length=33 inches
Step-by-step explanation:
Step 1: Determine total length of pipe
Total length of pipe=165 inches
Step 2: Derive expression for all the lengths
We can express all these lengths as follows;
L=l1+l2
where;
L=total length
l1=length of longer piece
l2=length of shorter piece
but;
length of longer piece=4×length of shorter piece
replacing;
l1=4l2
replacing;
L=165
l1=4×l2
165=l 2+4 l2
5 l2=165
l2=165/5
l2=33 inches
l1=length of longer length=33×4=132 inches
l2=length of shorter length=33 inches
Answer:
Step-by-step explanation:
Notice that 
.
The diagram already marks 
, so we just need to find 
.
and 
are vertical angles, which means they are equal in measure.
Therefore,
Since there are 
on each side of a line, we have the following equation:
.
Plugging in 
, we have:
.
Therefore,
.
Answer:
horizontal translation of 9 units right and 2 units up
Step-by-step explanation:
I think this is right.
To find the population after t number of years, multiply the starting population by 1 plus the percent increase raised to the number of years.
The equation would be: P = 508(1.062)^t
