What is the perimeter of △DEF to the nearest tenth?

The perimeter of △DEF 43

Step-by-step explanation:

Sin A/ a = Sin B / b = Sin C/ c

sin D/ d =

Sin E / e = sin F /f

sin 52/ e = sin 90 / 18

e =  18 x sin 52 / sin 90

e = 14.184 /1

e = 14.2

From phythagoras theorem ,

/hyp/² = /opp/² + /adj/²

18² = 14.2² + /adj/²

/adj/²= 18² - 14.2²

/adj/² = 324 + 201.64

/adj/² = 119.51

/adj/ = √122.36

        = 11.1

Perimeter of Triangle = a + b +c

where a = side

            b = base

            c = side

Perimeter = 18 + 11.1 + 14.2

Perimeter = 43.3

Perimeter= 43

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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