If csc x° = five fourths, what is the value of b? triangle lmn in which angle m measures 90 degrees, angle l measures x degrees, ln measures 22.5 units, and nm measures 3b units b = 4 b = 5 b = 6 b = 7

The value of b is 6.

Step-by-step explanation:

Given,

In triangle LMN,

m∠M = 90°,

m∠L = x°,

NM = 3b units,

LN = 22.5 units,

( given )

   ( by cross multiplication )

   ( Dividing both sides by 15 )

  b = 6

Step-by-step explanation:

csc(x°) = LN/NM . . . . . . definition of cosecant

5/4 = 22.5/(3b) . . . . . . . substitute given values

b = 22.5·4/(5·3) . . . . . . . multiply by 4b/5

b  = 6 . . . . . simplify

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.