Answer:
16.67% less
or
she only made 83% of her anticipated $18,000
Step-by-step explanation:
3000/18000 = 0.1666 or 16.67% less
15000/18000 = 0.8333 or 83%
9514 1404 393
Answer:
g(f(x)) = x . . . so the functions are inverses
Step-by-step explanation:
Two functions f and g are inverses of each other if ...
g(f(x)) = x or f(g(x)) = x
We are asked to evaluate g(f(x)). That will be x if the functions are inverses.
g(f(x)) = g((x+1)/2) = 2((x +1)/2) -1 = (x +1) -1
g(f(x)) = x . . . . the functions are inverses
[4 - (3c - 1)][6 - (3c - 1)]
[4 - 3c + 1][6 - 3c + 1]
[-3c + 4 + 1][-3c + 6 + 1]
[-3c + 5][-3c + 7]
-3c[-3c + 7] + 5[-3c + 7]
-3c[-3c] - 3c[7] + 5[-3c] + 5[7]
9c² - 21c - 15c + 35
9c² - 36c + 35
Answer:
Both are similar by SAS similarity.
This SAS similarity is equivalent to the congruence.
Step-by-step explanation:
Step 1:
To prove that ACB and HIG as similar triangles.
We have to look upon the corresponding sides.
SAS= Side angle sides , there the angle must be in between two sides.
ACB =
HIG
Lets work on the corresponding sides.
IG/AC = IH/AC
= 
Reducing each to lowest form, we divide numerator and denominator by 3 for the 1st fraction and by 4 for the 2nd fraction.
We have
= 
Both sides are equal.
So its proved that both are similar with SAS similarity theorem.