Use DEF shown below to answer the question that follows: what is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.

DEF is shown in the attachment.

x = 36.08

Step-by-step explanation: We can use Law of Sines to determine x, which is written as:

where

F is the angle at vertex F

The angle is calculated knowing that the sum of all internal angles of a triangle is 180°:

F + 49 + 90 = 180

F + 139 = 180

F = 180 - 139

F = 41

Then, Law of Sines will be:

Sin(90) = 1

sin (41) = 0.6560

Substituing and rearraging:

x = 36.08

The value of x is 36.08 units

your answer would be 40

step-by-step explanation:

answer;

the correct answer

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