Partition the set A into 4 subsets:
{1, 8}, {2, 7}, {3, 6}, and {4, 5},
each consisting of two integers whose sum is 9. If 5 integers are selected from A,
then by the Pigeonhole Principle at least two must be from the same subset. But
then the sum of these two integers is 9.
5(z-4)-z=4z-20
5z-20-z=4z-20
4z=4z
z=z
The answer is C
Answers:
(x+2) = 55 degrees
x = 53 degrees
the given is 72 degrees
Explanation:
A triangle always equals 180 degrees. It was given that one of the angle measures is 72 degrees. 180-72=108. Now I need to find the value of x. (x+2)+x=108. Solving this equation I get x=53. Substitute this back into the angle measures and u get the answers as stated above.
Answer:
The line is y=1x+8
Step-by-step explanation:
We can use point-slope form of a line to make an equation. Point-slope form is as follows:
y-y₁=m(x-x₁)
**The variables y₁ and x₁ are where we will plug in our given coordinates and the variable m is your slope.
1. Plug in the given info:
y-10=1(x-2)
2. Distribute the 1:
y-10=1x-2
3. Add 10 to both sides:
y=1x+8
Vertically opposite angles are always equal.
Given angles are (8x+12)° and (3x+37)°
=> (8x+12)° = (3x + 37)°
=> 8x - 3x = 37-12
=> 5x = 25
=> x = 25/5 = 5°
Angle 1 = (8x+12)° = (8(5)+12) = 40+12 = 52°
Angle 2 = (3x + 37)° = (3(5)+37)° = 15+37 = 52°
