Answer:
the rate of change is 1/2
Step-by-step explanation:
The rate of change is described by the change in y over the change in x. I'm guessing you meant to put an x after 1/2. The equation you wrote is in y-intercept form, as it gives us the slope and y-intercept. Slope is the same as rate of change. In simple terms, the number beside x is the rate of change. 1/2
Answer: <em>x</em> = 20
Step-by-step explanation:
If line <em>m</em> is parallel to line <em>n</em>, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).
This means we will set them equal to each other and solve for <em>x</em>.
Given:
(4<em>x</em> - 23) = (2<em>x</em> + 17)
Add 23 to both sides of the equation:
4<em>x</em> = 2<em>x</em> + 40
Subtract 2<em>x</em> from both sides of the equation:
2<em>x</em> = 40
Divide both sides of the equation by 2:
<em>x</em> = 20
Answer:
The measure of smaller angle = 45°
Step-by-step explanation:
Finding the unknown angle
Ratio of the supplementary angles = 3 :1
The angles are 3x , x
Supplementary angles add up to 180°
3x + x = 180
4x = 180
x = 180 ÷ 4
x = 45°
3x = 3*45 = 135°
It makes people sick because they are in places with more bacteria and cannot afford medicine