Answer:
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An inverse function produces points (y,x) for every point (x,y) produced by the parent function. So to find the inverse function, you solve for the independent variable and when done switch the variable labels....
y=x+5 subtract 5 from both sides
y-5=x now switch labels
y=x-5
So if f(x)=x+5
f^-1(x)=x-5
Answer:
m∠1 = 105°
m∠2 = 75°
Step-by-step explanation:
Lines a and b are parallel.
1. Angles 1 and 75° are the same side angles when two parallel lines a and b are cut by transversal t.
The same side angles add up to 180°, so
m∠1 + 75° = 180°
m∠1 = 180° - 75°
m∠1 = 105
2. Angles 2 and 1 are supplementary (add up to 180°), then
m∠1 + m∠2 = 180°
m∠2 = 180° - 105°
m∠2 = 75°
Answer:
5 times the square root of 3
Step-by-step explanation:
To get the longest side of a 30-60-90 triangle, you take the shortest side and multiply it by the square root of 3.
5*(square root of 3)
