It's the consecutive interior angles theorem; it goes like this:
95° = (2x + 5)<span>°
90</span><span>° = 2x</span>
45<span>° = x
Basically it says the alternate interior angles of two parallel lines that are cut by a transverse line are equal/the same.
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Answer:
you cannot convert a repeating decimal into a fraction
Step-by-step explanation:
Answer:
5/7
Step-by-step explanation:
Given one to one f(6)=3, f'(6)=5, find tangent line to y=f⁻¹(x) at (3,6)
OK, we know
f⁻¹(3)=6
The inverse function is the reflection in y=x. So slopes, i.e. the derivative will be the reciprocal. We know the derivative of f at 6 is 5, so the derivative of f⁻¹ at y=6 is 1/5, which corresponds to x=3.
f⁻¹ ' (3) = 1/5
That slope through (3,6) is the tangent line we seek:
y - 6 = (1/5) (x-3)
That's the tangent line.
y = x/5 + 27/5
