Find the value of x for which p || q.

x = 9

Step-by-step explanation:

For the lines to be parallel, then

9x + 8 and 15x - 46 are alternate angles and congruent, thus

15x - 46 = 9x + 8 ( subtract 9x from both sides )

6x - 46 = 8 ( add 46 to both sides )

6x = 54 ( divide both sides by 6 )

x = 9

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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