What is the value of x?
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27 =x

Step-by-step explanation:

We can use the triangle angle bisector theorem

x+8        2x-5

=

10             14

Using cross products

14 (x+8) = 10 (2x-5)

Distribute

14x+112 = 20x -50

Subtract 14x from each side

14x-14x+112 = 20x-14x -50

112 = 6x - 50

Add 50  to each side

112+50 = 6x+50

162 = 6x

Divide by 6

162/6 = 6x/6

27 =x

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: