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Vinvika [58]
3 years ago
9

Points M and N are two of the vertices of a right triangle. They are the endpoints of the hypotenuse MN¯¯¯¯¯¯¯ of the triangle.

The third vertex lies in the fourth quadrant. Plot a point at the location of the third vertex.

Mathematics
2 answers:
Andre45 [30]3 years ago
8 0

The triangle in the image below shows the RED line and 2 GREEN lines.

<em>The RED line is the Hypotenuse MN</em>

<em>The two GREEN lines connect to form a right triangle to complete this triangle.</em>

Point (5, -2) is the point on the fourth quadrant that is the third vertex of the right triangle.


ANSWER: (5,-2) is the 3rd vertex of the right triangle (graph shown)

Oksi-84 [34.3K]3 years ago
5 0
(5,-2) is the answer
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Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It c
aksik [14]

Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.

The <em>expected value</em> is given by the <u>sum of each outcome multiplied by it's respective probability.</u>

In this problem:

  • The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is \frac{1}{6} \times \frac{1}{12} = \frac{1}{72}.
  • The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is \frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}
  • In the other cases, Ayo wins £1.40, with 1 - \frac{18}{72} = \frac{54}{72} probability.

Hence, his expected profit for a single game is:

E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583

For 216 games, the expected value is:

E = 216(0.2583) = 55.8

Ayo can be expected to make a profit of £55.8.

To learn more about expected value, you can take a look at brainly.com/question/24855677

6 0
2 years ago
Which is a graph of y=-1/2x- 2?
cricket20 [7]

Answer:

the first one

y-intercept (0,-2)

x-intercept (-4,0)

8 0
2 years ago
Can some one pls help me with these questions it is really argent
ahrayia [7]
Number 5 i dont know. i got 8.85×10^6, but its not one of the choices. number 6 i got A.12.57
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2 years ago
Direction: Arrange the following numbers in decreasing order. Write your answer on the blank provided below each number.
rjkz [21]

Answer:

1. 100 000, 89 000, 67 000, 55 000

2. 45 678, 34 567, 23 456, 12 345

3. 98 765, 87 654, 76 543, 65 432-

7 0
3 years ago
Please Help!<br><br><br><br> B belongs to AC D belongs to lineAF
Anvisha [2.4K]

Answer:

x = 27

Step-by-step explanation:

∠ CAD and ∠ EDF are corresponding angles and are congruent, so

∠ CAD = 2x

The sum of the 3 angles in Δ ABD = 180°

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3 years ago
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