If mABF= (7x+ 20) ° , mFBC= (2x–5) ° , and m ABC= 159 ° , find the value of x
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Answer:
x as a fraction: 11
Step-by-step explanation:
Variable x cannot be equal to −2 since division by zero is not defined. Multiply both sides of the equation by 9(x+2), the least common multiple of 9,x+2.
2 ( x+ 2) = 9 x 3
Use the distributive property to multiply 2 by x + 2.
2x + 4 = 9 x 3
Multiply 9 and 3 to get 27.
2x + 4 = 27
Subtract 4 from both sides.
2x = 27 - 4
Subtract 4 from 27 to get 23.
2x = 23
Divide both sides by 2.
x =
Simplify
11
Hope it helps and have a great day! =D
~sunshine~
We actually don't need to do any computation. By definition, the inverse function changes the role of input and output. So, if a function f maps x onto y, the inverse function maps y onto x.
You have to think like this: if the function makes a step further, the inverse function makes that same step back.
This means that the composition is always the identity function
. In fact,
So, for every function, you have