The measure of two complementary angles have a ratio of 3:2. What is the measure of the larger angle?

54 degrees

Step-by-step explanation:

Complementary angles add to 90 degrees

3:2

Multiply each by x

3x:2x

Add the angles together and set equal to 90

3x+2x = 90

Combine like terms

5x= 90

Divide each side by 5

5x/5 = 90/x

x =18

The angles are 3x = 3(18) =54

   and 2x = 2(18) = 36

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

answer: 12

step-by-step explanation:

because yes