If the difference of the measures of two complementary angle is 120, then the angles will be A. 550, 350 B. 510, 390 C. 520, 380 D. none of these

We know, two angles are said to be complementary, if the sum of their measures is 90

∘

.

Let the angle be x

∘

and its complement is 90

∘

−x

∘

Then, according to the statement,

⇒x

∘

−(90

∘

−x

∘

)=12

∘

⇒x

∘

−90

∘

+x

∘

=12

∘

⇒2x

∘

=12

∘

+90

∘

=102

∘

⇒x

∘

=

2

102

∘

=51

∘

.

Hence, the measure of the angle is x=51

∘

and its complement is 90

o

−x=90

o

−51

o

=39

∘

.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: