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3 years ago

In the diagram below p is circumscribed about quadrilateral abcd

Mathematics

2 answers:

Olegator [25]3 years ago

8 0

<u>Answer:</u>

The correct answer option is 82°.

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

We can see from the given diagram that the quadrilateral ABCD is inscribed in a circle.

Now using the property:

'Opposite angles in any quadrilateral inscribed in a circle are supplements of each other'. Which means that their measures add up to a total of 180 degrees.

Thus, ∠A + ∠C = 180°.

If ∠A = 100°, then ∠C = 180° - 98°.

Therefore, ∠C = 82°.

Naily [24]3 years ago

3 0

Answer:

C. 82

Step-by-step explanation: i just took the test, good luck!

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Suppose an airline accepted 12 reservations for a commuter plane with 10seats. They know that 7 reservations went to regular com

kvv77 [185]

Answer:

<h2>See the explanation.</h2>

Step-by-step explanation:

(a)

7 persons will show up for sure, hence there is not any kind of probability here.

The other 5 persons have 50% chance to show up.

The flight will be overbooked, if either 4 will come or 5 will come.

From the total 5 persons, 4 can be chosen in $^5C_4 = 5$ ways.

The probability that any four among the 5 will come is $5\times(\frac{50}{100} )^{5} = 5\times(\frac{1}{2} )^{5} = \frac{5}{32}$ .

The probability that all of the 5 passengers will come is $\frac{1}{32}$ .

Hence, the required probability is $\frac{5}{32} + \frac{1}{32} = \frac{6}{32} = \frac{3}{16}$ .

(b)

The probability that there will be exactly 10 passengers on the flight is $^5C_3\times (\frac{1}{2} )^5 = \frac{20}{2} \times\frac{1}{32} = \frac{10}{32} = \frac{5}{16}$ .

The probability that there will be no empty seats in the plane is $\frac{3}{16} + \frac{5}{16} = \frac{1}{2}$ .

Hence, probability of having empty seats is $1 - \frac{1}{2} = \frac{1}{2}$ .

6 0

3 years ago

What is (7z-5)-(3x-2) equivalent to ?

Tresset [83]

Answer:

7z -3x -3 is the solution to the equation

Step-by-step explanation:

7z -5 -3x +2

7z -3x -5+2

7z -3x -3

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2 years ago

Which of these is a speed?

miskamm [114]

Answer:

50 miles per hour

Step-by-step explanation:

First one is a distance

Second one is time

Last one doesn't make sense

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3 years ago

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For each of the figures shown below, the existing coordinates are listed. Follow the instructions for each shape and perform the

TEA [102]

Answer:

I do not see a image

Step-by-step explanation:

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3 years ago

4√(-81)+6√(-36)<br> (simplify your answer))

Lapatulllka [165]

When looking at expressions like this,, you need to remember that the square root of a negative number does not exist in the set of Real Numbers. This means that there is no way to simplify this expression,, making the correct answer to your question Undefined.
Let me know if you have any further questions.
:)

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2 years ago