Given:
Consider the completer question is "If ∆BTS≅∆GHD, BS=25, TS=14, BT=31, GD=4x-11, m∠S=56, m∠B=21 and m∠H=(7y+5), find the values of x and y.
To find:
The values of x and y.
Solution:
We have,
(Given)
(CPCTC)



Divide both sides by 4.

In ∆BTS,
(Angle sum property)




Now,
(CPCTC)



Divide both sides by 7.

Therefore, the value of x is 9 and value of y is 14.
First find x and y.
Solve system of equations by elimination.
3x-y=3
+(-x+y=3)
---------------
2x=6
x=3
Now plug in x into one of the equations to find y.
-3+y=3
y=6
xy=3x6=18
Answer:
f ^-1 (x) = 2x+28
Step-by-step explanation:
f(x) = 1/2x-14
Replace f(x) with y
y = 1/2 x -14
Exchange x and y
x = 1/2 y -14
Solve for y
Add 14 to each side
x+14 = 1/2 y -14+14
x+14 = 1/2 y
Multiply each side by 2
2(x+14)= 1/2 y*2
2x+28 = y
The inverse function is
f ^-1 (x) = 2x+28