1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vladimir79 [104]
3 years ago
13

∡1 and ∡2 are vertical angles. If m∡1 = 64°, find m∡2

Mathematics
2 answers:
mojhsa [17]3 years ago
8 0

Answer:

64 degrees

Step-by-step explanation:

Vertical angles are equal

icang [17]3 years ago
8 0

Answer:

m∡2 = 64°

Step-by-step explanation:

By definition of vertical angles, the angles opposite of each other are equal each other.

∴ IF ∡1 and ∡2 are vertical angles, AND m∡1 = 64°, THEN m∡2 = 64°. (CPCTC - Definition of Vertical Angles).

~

You might be interested in
The Super Lotto Plus game consists of a player selecting five different numbers from 1 to 47 and a mega number from 1 to 27 (the
Gnesinka [82]

Answer:

1/41416353 probability of all five numbers and the mega number matching the winning numbers

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Probability of the five numbers matching:

Desired outcomes: 1 -> the matching numbers

Total outcomes: 5 from a set of 47. So

T = C_{47,5} = \frac{47!}{5!(47-5)!} = 1533939

Probability:

p_{S} = \frac{1}{1533939}

Probability of the mega number matching:

1 from a set of 27. So

p_M = \frac{1}{27}

Probability of both matching:

Independent events, so we multiply the probabilities:

p = p_S*p_M = \frac{1}{1533939}*\frac{1}{27} = \frac{1}{41416353}

1/41416353 probability of all five numbers and the mega number matching the winning numbers

7 0
3 years ago
Zoya asked the students of her class their baseball scores and recorded the scores in the table shown below: Baseball Scores Sco
nlexa [21]

Answer:

4.06

Step-by-step explanation:

Given :

Scores     Number of students

 0                     1

 1                      2

 2                     5    

 3                     3

 4                     6

 5                     7

 6                     9

To Find: Mean

Solution:

Mean = \frac{\text{Sum of all scores}}{\text{number of students}}

Mean = \frac{0 \times 1+1\times 2+2\times 5+3\times 3+4\times 6+5\times 7+6\times 9}{1+2+5+3+6+7+9}

Mean = \frac{134}{33}

Mean = 4.06

Hence, The Mean of baseball score is 4.06 .              

4 0
2 years ago
Read 2 more answers
Which has a measure that is equal to the sum of the measures of the interior angles of a triangle?
Gwar [14]
The answer is a straight line
8 0
3 years ago
Read 2 more answers
Evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.
Elza [17]

Answer:

10

Step-by-step explanation:

-2*2-3x+5=f(x)

-2*2-3(-3)+5=f(x)

-4+9+5=f(x)

5+5=f(x)

10=f(x)

3 0
3 years ago
Suppose it is found that a certain model of car sells y= -1.6(x-2)^2 + 4.8(x-2) + 16 cars per week, where x is the number of sho
Vilka [71]

Answer:

Approximately 4 shops would be the best number of shops which the car is sold, and the number of cars is 20.

Step-by-step explanation:

This is a quadratic function. Therefore, the first thing you need to do is assume some values for x, and then, calculate the value of y, (which would be the number of cars sold). In this way, you can do the graph.

Watch the following attachment, which is a document of excel, showing the graph and some values of x, that I assume

Now, even if you don't have the graph you can estimate the number of shops with the following expression of the summit:

X = -b / 2a

Where:

a: number that goes along with the x elevated.

b: number that goes along with the x, but without being elevated.

In this equation, the first thing we need to do, is rearrange it, that's because we have a (x-2) in the equation, and this could be really annoying.

First let's solve the (x-2)^2

(x-2)^2 = (x-2)(x-2) = x^2 - 2*2x + 2^2 = x^2 - 4x + 4

This is now multiplied by -1.6:

-1.6x^2 + 6.4x - 6.4

Now, multiply 4.8 by x-2:

4.8x - 9.6

Finally, let's arrange this:

-1.6x^2 + 6.4x - 6.4 + 4.8x - 9.6 + 16

-1.6x^2 + 11.2x - 6.4 - 9.6 + 16 = -1.6x^2 + 11.2x

This means that the graph do not have a "y" intercept, and the values of a and b are -1.6 and 11.2, therefore, we can estimate the best number of shops, calculating the summit of the graph (This is because s a quadratic function, and the graph is a parable, and the minimum or maximum point of the graph is reached in the summit)

Summit has X and Y values, the x value is (see formula above):

X = -11.2 / 2 * -1.6 = 3.5

and for the y value, just replace the X value in the equation:

Y = -1.6(3.5)^2 + 11.2(3.5) = -19.6 + 39.2 = 19.6

With this we can conclude that the best number of shops that sells this model of car, is 4 (rounded) and they all sell 20 cars (also rounded). See the graph below in the attachment.

Download xlsx
4 0
3 years ago
Read 2 more answers
Other questions:
  • Solve each equation <br><br> r - 5 1/6 = 10 <br><br> please help me Thank youuu!
    7·2 answers
  • (radical) √450 estimated to the nearest hundredth
    7·2 answers
  • Evaluate if t=-2, x=3 and z=5
    8·2 answers
  • Find the absolute value of |-93.1| and |3-8|
    13·1 answer
  • Find BC. Round to the nearest tenth
    12·1 answer
  • 3 % of 8.85 is what?
    11·2 answers
  • Uzupełnij rozwiązanie podanego równania.
    5·1 answer
  • The diagram below shows some measurements taken from a new bridge. How long is the bridge?
    9·1 answer
  • The quadrilaterals ABCD and JKLM are similar.
    11·1 answer
  • At the fundraiser, Chad washed 7 cars every 3 hours and earned over $150 for the school dance. 3. Choose the correct answer. Whi
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!