Let x be an angle measure. Let c be the measure of the complement of the angle and let s be the measure of the supplement of the angle. Write equations for c as a function of x, and for s as a function of x. What is the domain of each function? What is the range of each function? Explain?

Question

Mathematics

Payten

12 April, 01:14

Let x be an angle measure. Let c be the measure of the complement of the angle and let s be the measure of the supplement of the angle. Write equations for c as a function of x, and for s as a function of x. What is the domain of each function? What is the range of each function? Explain?

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Arturo Castaneda · Answer 1

Comlement is the angle that adds to 90

supplement is the one that adds to 180

x+c=90

x+s=180

solving for s and c

minus x frmo both sides in both equations

c=90-x

s=180-x

c (x) = 90-x

s (x) = 180-x

the domain has to be the numbers that make c (x) positive (assuming you haven't taken trig)

also, the angle cannot be negative

so x>0

solve for where it equal 0

for c (90) that is the zero and s (180) is the other zero

range is from 0 to the end

c (x) = 90-x

domain is from 0 to 90

range is from 0 to 90

s (x) = 180-x

the domain is from 0 to 180

range is from 0 to 180