Answer:
The other angle is 190-7x.
Step-by-step explanation:
Angles in a triangle add up to 180 degrees.
Let A be the third angle.
A + (3x-20) + (4x+10) = 180
A = 180 - (3x - 20) - (4x + 10) = 190 - 7x
Answer:
y = 0.5x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 0.5x - 2 ← is in slope- intercept form
with slope m = 0.5
Parallel lines have equal slopes, thus
y = 0.5x + c ← is the partial equation
To find c substitute (- 2, 1) into the partial equation
- 1 = - 1 + c ⇒ - 1 + 1 = 0
y = 0.5x + 0 , that is
y = 0.5x ← equation of parallel line
As the price of the car increases, the number of people
willing to buy it decreases.
The line in the first graph ' A ' is doing that.
Answer:
Odd numbers.
Step-by-step explanation:
Closed under addition means you will able to take any two numbers from whatever set is mentioned and add them to get a number in that same set.
(If I say counting numbers, I'm still talking about the natural numbers.)
So let's look at the natural numbers {1,2,3,4,5,6,...}.
1+1=2
1+2=3
1+3=4
...
6+19=25
Let a and b be counting numbers.
a+b is still going to be a counting number.
You will always get a counting number when adding two counting numbers. So the counting numbers (also known as the natural numbers) is closed under addition.
Let's skip down to odd numbers because the other sets are similar to the first.
Let's add a pair of odd numbers.
3+5=8
8 is not odd so the odd numbers are not closed under addition because we will not always get an odd number. In fact, you will never get a odd number, but the thing is you just need one example to show it is not closed.
(2k+1)+(2a+1)
2(k+a)+2
2(k+a+1) is even so adding two odds will always give you an even.
