Which figure represents the image of parallelogram lmnp after a reflection across the line y = x? a. figure a b. figure b c. figure c d. figure d not d

A reflection across the line y = x has a rule:

(x,y)→(y,x).

Parallelogram LMNP has vertices L(3,1), M(4,3), N(5,3) and P(4,1).

Then

Points L', M', N' and P' are exactly vertices of figure C.

correct choice is C.

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

~