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3 years ago

Angle MNO is formed by segments MN and NO on the following coordinate grid:

Mathematics

2 answers:

sergiy2304 [10]3 years ago

7 0

Answer with explanation:

It is given that ,∠M NO is formed by segments MN and NO on the following coordinate grid.

Coordinate of Point M = (-1,1)

Coordinate of Point N= (-5,4)

Coordinate of Point O= (-1,4)

$MN=\sqrt{(-1+5)^2+(1-4)^2}\\\\MN=\sqrt{16+9}\\\\MN=5\\\\NO=\sqrt{(-1+5)^2+(4-4)^2}\\\\NO=4\\\\MO=\sqrt{(-1+1)^2+(4-1)^2}\\\\MO=3$

MO²+NO²=MN²

So,By Pythagorean Theorem, ΔM NO is right Angled Triangle having ∠ O=90°.

Now, it is given that, ∠MNO is rotated 90 degrees counterclockwise about the origin to form ∠ M′N′O′.

⇒When we rotate a Triangle either Anticlockwise or Clockwise the triangle before Rotation and Triangle after rotation will be congruent to each other.

Option D:→

m∠ M′N′O′ = m∠M NO

Eva8 [605]3 years ago

6 0

Answer:

I am 90% sure that the answer is M'N'O' is 90*

Step-by-step explanation:

A line segment MN is shown as M = -1,1 and N= -5,4 this makes a diagonal line across the grid. Another line segment NO is shown with O as ordered pair negative 1, 4. Angle MNO is rotated 90 degrees counterclockwise about the origin to form angle M′N′O′. this is where the angles meet, Rotating the shape (or the angles) does not change the degree of the angle of the shape. I am 99% sure that an 90* angle would be formed. but im just in middle school so what do i know?

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a game where two players each throw two dice each. if any one die matches the other, you win a dollar. if there is no match, you

nadezda [96]

Yes, I would play the game, because the probability of winning is 13/18.

Probability:

Probability refer the possible occurrence of any particular event.

Given,

A game where two players each throw two dice each. if any one die matches the other, you win a dollar. if there is no match, you lose a dollar.

Here we need to find whether we able to play this one or not.

To find that one, first, we have to identify the winning scenarios,

Let us consider five winning scenarios. Lets represent the dice outcomes as A, B, C, and D, where your dice are A and B and the other player's are C and D. The five scenarios are:

1) A = B

2) A = C

3) A = D

4) B = C

5) B = D

We know that the total possible outcomes is 6^4. We can go through each scenario and count the possible outcomes. We must be careful to avoid overcounting.

Based on this,

The probability that none match is

=> 6*5*4*3/6^4

=> 360 / 1296

=> 5 / 18

So, probability of winning is,

=> 1 - 5/18

=> 13/18.

So, based on the probability the chance of winning is high. So, we can play it.

To know more about Probability here.

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5 0

1 year ago

9 (9m+3t)=<br> simplify pls

Aleks04 [339]

Answer:

81m+27t

Step-by-step explanation:

We need to distribute the 9 to the terms inside the parentheses:

9(9m+3t)=9(9m)+9(3t)=81m+27t

8 0

3 years ago

Read 2 more answers

Hannah claims that people who live in southern states spend 9 hours more per week outside than do people in northern states. She

vova2212 [387]

Answer:

b. Hannah is likely to be incorrect because 9 is not contained in the interval.

Step-by-step explanation:

Hello!

Hannah estimated per CI the difference between the average time that people spend outside in southern states and the average time people spend outside in northern states.

The CI is a method of estimation of population parameters that propose a range of possible values for them. The confidence level you use to construct the interval can be interpreted as, if you were to calculate 100 confidence interval, you'd expect that 99 of them will contain the true value of the parameter of interest.

In this example, the 99%CI resulted [0.4;8.0]hs

Meaning that with a 99% confidence level you'd expect the value of the difference between the average time people from southern states spend outside than the average time people from northern states spend outside is included in the interval [0.4;8.0]hs.

Now, she claims that people living in southern states spend 9 more hours outside than people living in northern states, symbolized μ₁ - μ₂ > 9

Keep in mind that if you were to test her claim, the resulting hypothesis test would be one-tailed

H₀: μ₁ - μ₂ ≤ 9

H₁: μ₁ - μ₂ > 9

And that the calculated Ci is tow-tailed, so it is not valid to use it to decide over the hypotheses pair. This said, considering that the calculated interval doesn't contain 9, it is most likely that Hannah's claim is incorrect.

I hope this helps!

6 0

3 years ago

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Yakvenalex [24]

Answer: 16

Step-by-step explanation:

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3 years ago

Read 2 more answers

In the Hawaiian Beach Boy surf board vendor scenario, what if the fine was increased to $190 but the probability of a fine decre

zloy xaker [14]

Answer:

$190.50

Step-by-step explanation:

Expected value is the sum of each possible income multiplied by its probability.

There's a 5% chance that the vendor makes $200 and loses $190 (net gain of $10).

There's a 95% chance that the vendor makes $200 and loses $0 (net gain of $200).

So the expected value is:

Exp(RS) = $10 × 0.05 + $200 × 0.95

Exp(RS) = $190.50

5 0

3 years ago