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Vlad1618 [11]
3 years ago
9

12.) Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer

. Pleaseee helppp

Mathematics
1 answer:
Maru [420]3 years ago
6 0

Answer:

Step-by-step explanation:

            Given                  Parallel lines                     Converse

a. ∠13 ≅ ∠17                          a║c                  Corresponding angles

b. ∠4 ≅ ∠9                            d║e                  Exterior alternate angles

c. m∠20 + m∠21 = 180°        a║b                  Consecutive interior angles

d. ∠8 ≅ ∠19                                                    Vertical angles

e. ∠10 ≅ ∠23                         b║c                  Interior alternate angles

f.  m∠14 + m∠17 = 180°          a║c                  Consecutive interior angles

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Burka [1]

Triangles PQR and PSR are right triangles, with both QR = SR = 5 (since these are radii of the circle R).

TR is also a radius of the circle, so TR = 5, making PR = 4 + TR = 9.

Because PQR and PSR are right triangles, we can compute the length of the missing side, which will be equal. By the Pythagorean theorem,

PQ^2 + QR^2 = PR^2

PQ^2 + 5^2 = 9^2

PQ^2 = 56

PQ = √56 = 2√14

Then the perimeter of PQRS is

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and so the answer is B.

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3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
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skelet666 [1.2K]

Answer:

Step-by-step explanation:

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