for question 8. Determine whether the triangles are similar. If similar, state how (AA, SSS, or SAS), and write a similarity statement.

9514 1404 393

  yes, SAS

Step-by-step explanation:

Two sides are given, either side of a vertical angle. So, the angles are the same. If the sides are proportional, the similarity will be by SAS (two sides, either side of an angle).

The ratios of short to long sides are ...

  39/52 = (3·13)/(4·13) = 3/4

  63/84 = (3·21)/(4·21) = 3/4

The sides are proportional and the angle between them is congruent, so ...

  the triangles are similar by SAS.

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: