unit 10: circles Homework 4: Inscribed angles. please complete the following questions and explain how it is done. ​

Step-by-step explanation:

5. angle FDE = 180-90-63 = 27°

 arc FE = 2×27 = 54°

6. arc GJ = 360-68-31-115 = 146°

 angle GHJ = 146/2 = 73°

7. angle GIJ = 146/2 = 73°

8. arc DAB = 2×101 = 202°

 arc BCD = 360°-202 = 158°

 angle A = 158/2 = 79°

 angle B = 360-79-110-68 = 112°

10. see picture

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.

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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