Answer:

Step-by-step explanation:
Solve for the value of
:

-Divide
by
:


-Add
to both sides:


-Take
and divide it on both sides:


Therefore, the value of
is
.
An 8% slope up is 422.4 feet up in one mile.
An 8% slope down is 422.4 feet down in one mile.
1 mile = 5,280 feet
8% of 1mile = 0.08 x 5,280-ft = 422.4-ft
The formula to find any term of an an arithmetic sequence is given by

=

=(n-1)d,
where we have first term

=8,
and d which is the common difference , and n is the term we need to find (in our case is 20)
the difference d=3, as you see each number is the previous minus 3
for S20=8+(20-1)*(-3)=8+(19)*(-3)=8-57=-49
S20=-49, this the 20th term
Answer:
5False
6 true
7 true
Step-by-step explanation:
5 Complementary angles add to 90 degrees not 180 degrees
6 40+50 = 90 so they are complementary
7 Supplementary angles add to 180
145+x = 180
Subtract 145 from each side
145-145 +x = 180-145
x = 35