What is the value of x?

x = +5

Step-by-step explanation:

The triangles ADB and BDC are similar.  Thus it is possible to write an equation of ratios and solve it for x:

 x       10

=

10       4x

Cross-multipying, we get:

4x^2 = 100, which yields x = +5

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:

boxplot