Answer:
8
Step-by-step explanation:
The fact that DE is perpendicular to AC means triangles AED and CED are congruent and side AD is equal in length to side CD.
5x -20 = 2x +4
3x = 24 . . . . . . . add 20-2x
x = 8 . . . . . . . . . .divide by 3
The value of x is 8.
The 1905 was 3.0 inches while 2004 was 4.2 inches since they are 1.2 apart and they add up to 7.2
Answer:
y=7+3x
Step-by-step explanation:
Since she already has 7 in her account and she ADDS 3 more each day you would multiply 3 by x which represents the number of days and add that to seven because she already had it. This would equal to Y which represents the total in her account
If
is the inverse of
, then
![f\left(f^{-1}(x)\right) = x](https://tex.z-dn.net/?f=f%5Cleft%28f%5E%7B-1%7D%28x%29%5Cright%29%20%3D%20x)
which means
![2f^{-1}(x)+3 = x](https://tex.z-dn.net/?f=2f%5E%7B-1%7D%28x%29%2B3%20%3D%20x)
Solve for
:
![2f^{-1}(x) + 3 = x \\\\ 2f^{-1}(x) = x - 3 \\\\ f^{-1}(x) = \dfrac{x-3}2 = \boxed{\dfrac12x-\dfrac32}](https://tex.z-dn.net/?f=2f%5E%7B-1%7D%28x%29%20%2B%203%20%3D%20x%20%5C%5C%5C%5C%202f%5E%7B-1%7D%28x%29%20%3D%20x%20-%203%20%5C%5C%5C%5C%20f%5E%7B-1%7D%28x%29%20%3D%20%5Cdfrac%7Bx-3%7D2%20%3D%20%5Cboxed%7B%5Cdfrac12x-%5Cdfrac32%7D)