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Step-by-step explanation:

As the given triangle is equilateral as all the sides of the triangle are equal.

As all the sides are equal, i.e.

as

Add 8 to both sides

Hence, the value of x = 7

so putting the value of x to determine the lengths of the

segments MN, NO, and MO

Hence, the length of MN = 13

Hence, the length of NO = 13

Hence, the length of OM = 13

ok

step-by-step explanation:

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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