Answer:
Step-by-step explanation:
if the triangles are similar then their sides are in proportion ( or you can think that they make equivalent fractions like 2/3 = 4/6 )
44/ (x+2) = 20/7 = 3x+1 /5 ( all of those are equivalent fractions)
use that is the same as a*d = b*c
is the same as 20(x+2) = 7*44
20x +40 = 308; subtract 40 from both sides
20x = 268; divide by 20 both sides
x= 13.4
Answer:
Step-by-step explanation:
Linear equations will always be in the form , where m is the slope and b is the y-intercept
Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.
Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x (), so we can use the two points given to us to find both changes.
The y value goes from 1 to 17, which is a change.
The x value goes from 2 to 6, which is a change.
Now that we know both changes, we can divide the change in y by the change in x.
Now that we know the slope (4), we can plug it into our equation ().
Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).
Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.
Hope this helped!