Polygon abcde rotates 45° clockwise about point f to form polygon fghij, shown in the figure. find the measure of each angle of polygon abcde. mabc=? mbcd=? mdea=? mcde=? all 4 questions are either 90, 117, or 127

mABC = 117 degrees

mBCD = 90 degrees

mDEA = 90 degrees

mCDE = 127 degrees

Step-by-step explanation:

Since ABCDE is congruent/equal to FGHIJ, then each angle corresponds with the angle in the other shape. I.E., A = F, B = G, C = H, etc. Finding the angle for ABC is finding the angle for FGH. This works only because there was no changing the places of the points individually. :)

answer: the 4 kilogram bag

step-by-step explanation: this is because if you divide the number of kilograms into the total it will tell you how much each individual kilogram would be worth. 2 kilos is 7 and change 3 would be around 6 ish and the 4 kilo would be 4.6 and change and the 5 kilos would be like 4.88

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

~