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3 years ago

Quadrilateral ABCD is inscribed in this circle.

Mathematics

1 answer:

murzikaleks [220]3 years ago

7 0

Answer:

C = 80

Step-by-step explanation:

A cyclic quadrilateral is one where all 4 vertices touch the circumference of a circle.

It has 1 interesting property that should concern you: <B + <D = 180 degrees.

3x - 59 + 2x - 1 = 180 Combine like terms

5x - 60 = 180 Add 60 to both sides.

5x = 180 + 60

5x = 240

x = 240/5

x = 48

Now go to 2x + 4.

x = 48

A = 2*48 + 4

A = 96 + 4

A = 100

So C = 180 - 100

C = 80

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How many equivalence relations are there on the set 1, 2, 3]?

Alex787 [66]

Answer:

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A relation is an equivalence relation if it is reflexive, transitive and symmetric.

equivalence relation R on {1,2,3}

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2.For transitive, it must satisfy: if (x,y)∈R then (y,x)∈R

3. For symmetric, it must satisfy: if (x,y)∈R,(y,z)∈R then (x,z)∈R

Since (1,1),(2,2),(3,3) must be there is R, (1,2),(2,1),(2,3),(3,2),(1,3),(3,1). By symmetry,

we just need to count the number of ways in which we can use the pairs (1,2),(2,3),(1,3) to construct equivalence relations.

This is because if (1,2) is in the relation then (2,1) must be there in the relation.

the relation will be an equivalence relation if we use none of these pairs (1,2),(2,3),(1,3) . There is only one such relation: {(1,1),(2,2),(3,3)}

we can have three possible equivalence relations:

{(1,1),(2,2),(3,3),(1,2),(2,1)}

{(1,1),(2,2),(3,3),(1,3),(3,1)}

{(1,1),(2,2),(3,3),(2,3),(3,2)}

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Step-by-step explanation:

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a ABC company stock dropped from 25 3/8 to 22 1/4 during a one month period of time so how much stock fall during this period of

OLEGan [10]

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Then, to subtract, since you need a common denominator, I would multiply the second fraction by 2 to get:
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And that's your answer: $3 \frac{1}{8}$

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4 years ago

​Quadrilateral ABCD​ is inscribed in this circle.

Quadrilateral ABCD is inscribed in this circle.