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vichka [17]
2 years ago
9

Identify the postulate if possible

Mathematics
1 answer:
Ann [662]2 years ago
8 0

Answer:

Below.

Step-by-step explanation:

It's the Alternate Angle Theorem.

The opposite sides of the quadrilateral are parallel.

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What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 ti
Marat540 [252]

Answer:

x = \frac{5 + \sqrt{53}}{2}  or  x = \frac{5 - \sqrt{53}}{2}

Step-by-step explanation:

Given

x^2 - 5x - 7 = 0

Required

Solve for x using:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

First, we need to identify a, b and c

The general form of a quadratic equation is:

ax^2 + bx + c = 0

So, by comparison with x^2 - 5x - 7 = 0

a = 1     b = -5      c = -7

Substitute these values of a, b and c in

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}

x = \frac{5 \± \sqrt{25 +28}}{2}

x = \frac{5 \± \sqrt{53}}{2}

Split the expression to two

x = \frac{5 + \sqrt{53}}{2}  or  x = \frac{5 - \sqrt{53}}{2}

To solve further in decimal form, we have

x = \frac{5 + 7.28}{2}  or  x = \frac{5 - 7.28}{2}

x = \frac{12.28}{2}  or  x = \frac{-2.28}{2}

x = 6.14 or x = -1.14

4 0
3 years ago
A perfect square ends with the same two digits. How many possible values of this digit are there?
Alex73 [517]

Answer:

A perfect square is a whole number that is the square of another whole number.

n*n = N

where n and N are whole numbers.

Now, "a perfect square ends with the same two digits".

This can be really trivial.

For example, if we take the number 10, and we square it, we will have:

10*10 = 100

The last two digits of 100 are zeros, so it ends with the same two digits.

Now, if now we take:

100*100 = 10,000

10,000 is also a perfect square, and the two last digits are zeros again.

So we can see a pattern here, we can go forever with this:

1,000^2 = 1,000,000

10,000^2 = 100,000,000

etc...

So we can find infinite perfect squares that end with the same two digits.

7 0
3 years ago
The width of Maya’s poster is 2 inches shorter than the length. The graph models the possible area (y) of Maya’s poster determin
ArbitrLikvidat [17]
200 would be the correct answer
3 0
2 years ago
A fair 6-sided die is rolled 10 times (each roll is independent). What is the probability that the rolled die will not show an e
Anestetic [448]

Answer:

1/1024.

Step-by-step explanation:

There are 3 odd numbers  in the numbers from 1 to 6. So:

Probability (one toss is odd) = 3/6 = 1/2.

So the Probability ( 10 tosses are all odd) = (1/2)^10

= 1/1024.

7 0
3 years ago
PLEASE HELP REALLY APRICATE IT
zaharov [31]
It should be 92 sorry if its wrong
7 0
2 years ago
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