The measure if two supplementary angles are 4x + 7 and 2x + 8. find the measure of x.

27.5=x

Step-by-step explanation:

The sum of the measures of supplementary angles is 180 degrees.

so its

(4x+7)+(2x+8)=180 degrees

combine like terms and get

6x+15=180 degrees

subtract 15 from both sides and get

6x=165

divide both sides of the equation by 6 and get

27.5=x

to check your answer, plug 27.5 back into the original equation

(4(27.5)+7)+(2(27.5)+8)=180 degrees

180=180, so the equation is correct.

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: