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Verdich [7]
2 years ago
7

3 lines are shown. A line with points T, R, W intersects with a line with points S, R, V at point R. Another line extends from p

oint R to point U in between angle V R W.
Which pair of angles are vertical angles?
Mathematics
1 answer:
Mamont248 [21]2 years ago
6 0

Answer:

  ∠TRV and ∠WRS  or  ∠TRS and ∠WRV

Step-by-step explanation:

Vertical angles are angles that share a vertex and have sides that are opposite rays. That is, the opposites of the rays that form one of the angles are the rays that form the other angle.

__

Where lines cross, two pairs of vertical angles are formed. In your diagram, those pairs are ...

  ∠TRV and ∠WRS . . . . one vertical angle pair

  ∠TRS and ∠WRV . . . . another vertical angle pair

_____

<em>Additional comment</em>

In this diagram, the ray RU is of no consequence with respect to any vertical angles. It can be ignored.

The vertical angles will each have one red ray and one blue ray as sides. These rays have end point R. No sides are shared.

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When Riley goes bowling, her scores are normally distributed with a mean of 160 and
e-lub [12.9K]

Answer:

The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 160, standard deviation of 13.

Middle 68% of the scores of all the games that Riley bowls.

Within 1 standard deviation of the mean, so:

160 - 13 = 147.

160 + 13 = 173.

The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).

6 0
3 years ago
Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?
Vilka [71]

Answer:

20 questions.

Step-by-step explanation:

Let  x  be the number of questions on the quiz.

85 %  means  85  out of  100  (or  85/ 100  )

85/ 100   = 3/x

--->100-85=15

--->15/3=5

--->100/5=20  

Meaning each question was worth 5% and there were 20 questions.

5 0
3 years ago
What forms of the following equation in?<br><br> y=5x−3
alexdok [17]
5x-y=3
Not sure if it’s correct
4 0
3 years ago
Read 2 more answers
7 Raja is laying tiles on a path that forms
ser-zykov [4K]

Answer:

The perimeter of the garden is 400 feet.

Step-by-step explanation:

Consider the provided information,

Raja is laying tiles on a path that forms   the diagonal of a square garden. If Raja is  told that the length of the diagonal path is  100\sqrt{2}

The length of the diagonal of a square garden is 100\sqrt{2}

Let x represent the side of square.

By Pythagorean theorem we know: a^2+b^2=c^2

Where c is hypotenuse.

The diagonal of the square divides the square into two right angle triangle.

Where, the sides of the square are the legs of the triangle and diagonal is the hypotenuse of the triangle.

x^2+x^2=(100\sqrt{2})^2

2x^2=(100\sqrt{2})^2

x=100

Hence, the side of the square is 100 ft.

The perimeter of the square is 4s where s is the side of square.

4(100)=400

Hence, the perimeter of the garden is 400 feet.

5 0
3 years ago
Which of the following pairs of points are ordered pairs for f(x) = -3x + 5 ? Help!
LuckyWell [14K]

The pairs of f(x) =-3x+5 can be found by putting value of x and getting f(x).

x=0, f(x)=5

X=-1, f(x) =3+5=8

x=1, f(x)= -3+5=2

So few ordered pairs arw (0,5) ,(1,2),(-1,8) etc.


6 0
3 years ago
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