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rosijanka [135]
3 years ago
5

PLZ HELP?!! SERIOUSLY NOBODY CAN HELP ME?????

Mathematics
1 answer:
andrew11 [14]3 years ago
5 0

Answer:

See below

Step-by-step explanation:

Short solution given below

<u>Properties used in solution:</u>

  • Sum of angles of triangle is 180°
  • Supplementary angles add up to 180°
  • Vertical angles are equal

13.................................................

∠1 = ∠4 = ∠5 = ∠8 = 130°

∠2 = ∠3 = ∠6 = ∠7 = 180° -130° = 50°

14.................................................

2x + 90° + x = 180° ⇒ 3x = 90° ⇒ x = 30°

2y = x ⇒ 2y = 30° ⇒ y = 15°

z + 2y = 180° ⇒ z + 30° = 180° ⇒ z = 150°

15.................................................

5x - 20° = 3x ⇒ 2x = 20° ⇒ x = 10°

5x - 20° + 2y + 4y = 180° ⇒ 5*10° - 20° + 6y = 180° ⇒ 30° + 6y = 180° ⇒ y =25°

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Answer: 1) 2, 3, 4, 9, 32, 279, 8896, 2481705, 22077238784

              2) 2,490,924

              3) Neither

<u>Step-by-step explanation:</u>

S_n=S_{n-2}\cdot (S_{n-1}-1)\quad \\\\S_1=2\quad given\\S_2=3\quad given\\S_3=S_1(S_2-1)\quad =2(3-1)\quad =4\\S_4=S_2(S_3-1)\quad =3(4-1)\quad =9\\S_5=S_3(S_4-1)\quad =4(9-1)\quad =32\\S_6=S_4(S_5-1)\quad =9(32-1)\quad =279\\S_7=S_5(S_6-1)\quad =32(279-1)\quad =8,896\\S_8=S_6(S_7-1)\quad =279(8896-1)\quad =2,481,705\\S_9=S_7(S_8-1)\quad =8896(2481705-1)\quad =22,077,238,784

\sum^8_{k=1}S_k\\\\=S_1+S_2+S_3+S_4+S_5+S_6+S_7+S_8\\\\= 2,490,924\\

Neither

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                        S₂ - S₁          S₃ - S₂           S₄ - S₃      

                      3 - 2 = 1       4 - 3 = 1          9 - 4 = 5

Not geometric because the ratios between each of the terms is not the same.                

                       \dfrac{S_2}{S_1}=\dfrac{S_3}{S_2}\qquad \rightarrow \dfrac{3}{2}=\dfrac{4}{3}\qquad \rightarrow \text{cross multiply to get}: 9\neq 8

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