Respuesta :

Answer:

b = 6

Step-by-step explanation:

csc(x°) = LN/NM

5/4 = 22.5/(3b)

b = 22.5·4/(5·3)

b  = 6

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The required value of b = 6 for a triangle LNM. Option C is correct.

Given, CSC x° = 5/4 value of b is to be determined.

What is the triangle?

The triangle is a geometric shape that consists of3 sides and the sum of the interior angle should not greater than 180°

csc(x°) = hypotenuse/ perpendicular = LN/NM

5/4 = 22.5/3b   (NM = 3b)

b = (22.5*4)/(5*3)
b = 90/15

b  = 6 and
NM = 3*6 = 18

Thus, the required value of b = 6 for a triangle LNM.

Learn more about triangles here:
https://brainly.com/question/2773823

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The question seems to be incomplete complete question could be given below-

If CSC x° = 5/4, 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.