Hi i really need help!!

GH = 12, JH = 8, GJ = 10.6, your answer is the first choice

Step-by-step explanation:

Mid-segment theorem basically means it's like cut in half so just apply that logic to the entire thing:

DG = GF and IH = HF

DI length, 24, divided by two, because half, equals 12 so 12 = GH

JH is DF divided by two so basically 16/2 which is 8 which also equals DG

GJ = IH because like I said half half theory

Essentially, all the parallel lines are halves of each other.

GH = 12, JH = 8, GJ = 10.6, your answer is the first choice

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

~

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.