Help my teacher was absent so we had a sub.

5.44 units

Step-by-step explanation:

We need to use trigonometry.

Notice that we want to find the side opposite the angle marked 65 degrees. We are given the length of the hypotenuse, which is 6. Suppose the length of the opposite side is x. So, we need to use sine, which is opposite ÷ hypotenuse:

sin(65°) = x ÷ 6

Multiply both sides by 6:

x = 6 × sin(65°) ≈ 5.44 units

5.44

Step-by-step explanation:

sin65 = opposite/hypotenuse

sin65 = BC/6

BC = 6sin65

BC = 5.437846722

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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