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nekit [7.7K]
3 years ago
5

Algebra Find the value of each variable using the given chord, secant, and tangent lengths. If the answer is not

Mathematics
1 answer:
makkiz [27]3 years ago
4 0

Answer/Step-by-step explanation:

15. Based on the intersecting Chords Theorem, thus,

x \times 8 = 20 \times 6

8x = 120

Divide both sides by 8

x = 15

17. Based on the two secants intersecting theorem,

(c + 13) \times 13 = (20 + 11) \times 11

Solve for c

13c + 169 = (31) \times 11

13c + 169 = 341

Subtract 169 from each side

13c = 172

Divide both sides by 13

c = 13.2 (nearest tenth)

19. ✔️Based on the two secants intersecting theorem,

(x + 5) \times 5 = (15 + 7) \times 7

Solve for x

5x + 25 = (22) \times 7

5x + 25 = 154

Subtract 25 from each side

5x = 129

Divide both sides by 5

x = 25.8

✔️according to the tangent and secant theorem, thus:

y^2 = 7 \times (15 + 7)

Solve for y

y^2 = 7 \times (22)

y^2 = 154

Square both sides

y = 12.4 (nearest tenth)

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P₁ × V₁  = n₁ × R × T₁ , and P₂ × V₂ = n₂ × R × T₂

(P₁ × V₁)/(n₁ × T₁) = (P₂ × V₂)/(n₂ × T₂)

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(P₁ × V₁)/n₁ = (P₂ × V₂)/n₂.  However  n₂ = 3 × n₁  and V₂  =  \frac{1}{2} × V₁ therefore substituting in the equation we have

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The ratio of \frac{P_{x} }{P_{y} } = 1/6

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