Answer:
6th term
Step-by-step explanation:
95=55+8n-8
95-55=8n-8
40+8=8n
48/8=8n/8
6=n
Answer:
see the attachment
7 hours
Step-by-step explanation:
The cost for River Y is a constant (not dependent upon hours), so is c = 41.
The cost for River Z is the sum of the deposit and the hourly cost, so is ...
c = 13+4n
These equations and their graphs are shown in the attachment. The graphs cross where n=7, indicating you have to rent a canoe for 7 hours for the cost to be the same on both rivers.
Step-by-step explanation:
Let a, b, c be the measures of the interior angles and x, y, z be the measures of the exterior angles of the triangle. Where x and adjacent to a, y is adjacent to b and z is adjacent to c.
By interior angle sum postulate of a triangle:
a + b + c = 180°... (1)
Therefore, by remote interior angle theorem:
x = b + c.... (2)
y = a + c..... (3)
z = a + b.... (4)
Adding equations (2), (3) & (4)
x + y + z = b + c + a + c + a + b
x + y + z = 2a + 2b + 2c
x + y + z = 2(a + b + c)... (5)
From equations (1) & (5)

Thus, the sum of exterior angles so formed is equal to four right angles.
Proved.
You need these two basic solutions and facts to find the equation of a line:
- If you know the gradient
and one point
:

- If you know the gradient two points
:

- The slope of a line is the coefficient m when you write it in the
form - Parallel lines have the same slope
- The slopes of perpendicular lines give -1 when multiplied
We can use this list to solve all the exercises:
b)
Use the first equation to get

c)
Use the second equation to get

d) same as c)
e) We derive the slope of the line by writing it as

So, the slope is -1/5. From here, it's the same as b)
f) same as e)
g) Again we find the slope as

so the slope is -3, and a perpendicular line has slope 1/3. From there, it's the same as b).