Use ΔDEF, 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.

x= 16.53

Step-by-step explanation:

Since this is a right triangle we can use the law of cosine (adjacent/hypotenuse) to solve. You get the equation cos(49)=x/55. You then wanna multiply 55 to both sides so you can isolate x. You get 55*cos(49)=x. Then, you put 55*cos(49) into a calculator and multiply to get 16.5325899059 Then round to the nearest hundredth to get 16.53 as your answer.

Hope this helps :)   (its been a while since I've done trig ratios so thanks for the refresher)

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation: