The sum of the measures of the angles of a triangle is 180 degrees.
Angles STU and STR are supplementary angles.
Angles R and STR are congruent.
m<STU + m<STR = 180
8x + m<STR = 180
m<STR = 180 - 8x
m<R = m<STR = 180 - 8x
m<RST + m<R + m<STR = 180
7x - 54 + 180 - 8x + 180 - 8x = 180
-9x + 360 = 180
-9x = -126
x = 14
The inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6
<h3>How to determine the inverse function?</h3>
The function is given as:
f(x) = 6x + 4
Rewrite as:
y = 6x + 4
Swap x and y
x = 6y + 4
Subtract 4 from both sides
6y = x - 4
Divide through by 6
y = (x - 4)/6
Rewrite as:
f^-1(x) = (x - 4)/6
Hence, the inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6
Read more about inverse functions at:
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Let P=Perm cost
Let H = Haircut cost
Let L = Lunch cost
Perm costs twice as much as haircut so.. P = 2H
L = 5
H + P + L = 68 the total cost is $68
H + 2H + 5 = 68 since P = 2H and L=5
3H + 5 = 68
3H =63
H = 63/3
H = 21
A Haircut is $21
Perm = 2H = 2(21) = $42
