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Stels [109]
3 years ago
14

Parallelogram JSTP∼parallelogram BFMY

Mathematics
1 answer:
Serhud [2]3 years ago
8 0

Answer:

\angle P=\angle Y;

\overline {ST} and \overline {FM};

\angle T=\angle M;

\overline {JP} and \overline {BY}.

Step-by-step explanation:

Similar figures have proportional corresponding sides and congruent corresponding angles. If parallelogram JSTP is similar to parallelogram BFMY, then

  • \angle J=\angle B;
  • \angle S=\angle F;
  • \angle T=\angle M;
  • \angle P=\angle Y;
  • \dfrac{JS}{BF}=\dfrac{ST}{FM}=\dfrac{TP}{MY}=\dfrac{JT}{BM}=\dfrac{JP}{BY}=\dfrac{SP}{FY}.
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The opposite angles are equal to are supplementary to each other or equal to each other.

<h3>What is a Quadrilateral Inscribed in a Circle?</h3>

In geometry, a quadrilateral inscribed in a circle, also known as a cyclic quadrilateral or chordal quadrilateral, is a quadrilateral with four vertices on the circumference of a circle. In a quadrilateral inscribed circle, the four sides of the quadrilateral are the chords of the circle.

The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚.

If e, f, g, and h are the inscribed quadrilateral’s internal angles, then

e + f = 180˚ and g + h = 180˚

by theorem the central angle = 2 x inscribed angle.

∠COD = 2∠CBD

∠COD = 2b

∠COD = 2 ∠CAD

∠COD = 2a

now,

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2(e + f) =360°

e + f = 180°.

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The question is incomplete. Here is the complete question.

Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let A be the event that the six-sided die is an even number and B be the event that the four-sided die is an odd number. Using the sample space of possible outcomes below, answer each of the following questions.

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What is P(B), the probability of the four-sided die is an odd number?

What is P(A and B), the probability that the six-sided die is an even number  <em>and</em> the four-sided die is an odd number?

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b) No, events A and B are not independent events.

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The events are <u>independent</u> events because the probability of A happening does not influence the occuring of event B.

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Answer:

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Step-by-step explanation:

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