Points d, e, and f are not in a line. to construct a circle through points d, e, and f, begin by drawing line segments ("de" ) ̅ and ("ef" ) ̅. then construct the perpendicular bisectors of ("de" ) ̅ and ("ef" ) ̅, and name the point of intersection of the perpendicular bisectors o. how do you know that point o is the center of the circle that passes through the three points?

a centroid in a triangle, is the point where all the medians meet.

now a peculiar thing about the centroid is that, it cuts all medians in a 2:1 ratio.

so, if that's true, then the median AE, is being cut in two segments AD and DE and AD : DE are on a 2 : 1 ratio, are they?  let's check.

Step-by-step explanation: its d. got it right edu2020.

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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