Answer:
Step-by-step explanation:
x = 180 - 72 = 108° (linear pair)
y = 72° (vertically opposite angles)
z = 180 - (90+72) = 180 - 162 = 18°
Answer:
30 books
Step-by-step explanation:
One book each month is 20 books, so added to the 10 he's already read is 30.
Answer:
Step-by-step explanation:
The general exponential function is,
The points given in the table are,
Putting 
in the general equation, we get
And
Putting the value of a,
Now the exponential function becomes,
Answer:
The equation is: y = 1/2x + 7
Step-by-step explanation:
The slope of j is -2. The slope of a line perpendicular to line j has a negative inverse: 1/2. The point is (-8, 3).
Use the point slope form of the equation:
y - y1 = m(x - x1)
Substitute:
y - 3 = 1/2(x - (-8))
y - 3 = 1/2x + 4
y = 1/2x + 4 + 3
y = 1/2x + 7
Proof:
Solve for f(x) when x = -8.
f(x) = 1/2x + 7
f(-8) = 1/2(-8) + 7
= -8/2 + 7
= -4 + 7
= 3, giving the point (-8, 3)
