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
Oduvanchick [21]
3 years ago
15

I need help with this proof, the given and prove are at the top. Plzzzz help

Mathematics
1 answer:
Goshia [24]3 years ago
7 0

Answer:  The proof is mentioned below.

Step-by-step explanation:

Here, Given : m∠AOC = 160°  m∠AOD= (3x-10)° and  m∠ DOC= (x+14)°

Prove: x= 39°

      Statement                                              Reason

1. m∠AOC = 160°, m∠AOD= (3x-10)°    1.  Given

and m∠ DOC= (x+14)°    

2. m∠AOD+m∠DOC=m∠AOC         2. Because OD divides ∠AOC

                                                              into ∠AOD and ∠DOC

3. (3x-10)° +(x+14)°= 160°                     3. By substitution

4.  4x+4 = 160°                                    4. By equating like terms

5. 4x= 156°                                          5. By subtraction property

                                                             of equality

6. x= 39°                                              6. By division property of equality


You might be interested in
MOney mONey money if you see it claim it free points :) better say thank you on my pf or i will hunt you when i die
SSSSS [86.1K]

Answer:

Thank you

Step-by-step explanation:

But bet will you hunt me

6 0
3 years ago
Read 2 more answers
Systems of linear equations ; elimination method<br><br><br> pls help&lt;3
Basile [38]
<h3>Answer:</h3>

System

  • 10s +25t = 11700
  • s -2t = 0

Solution

  • s = 520
  • t = 260
<h3>Explanation:</h3>

Let s and t represent single-entry and three-day tickets, respectively. These variables represent the numbers we're asked to find: "how many of each [ticket type] he sold."

We are given the revenue from each ticket type, and the total revenue, so we can write an equation based on the relation between prices, numbers sold, and revenue:

... 10s +25t = 11700 . . . . . equation for total revenue

We are also given a relation between the two number of tickets sold:

... s = 2t . . . . . . . . . . . . . . . twice as many single tickets were sold as 3-day

We can rearrange this second equation to put it into standard form. That makes it easier to see what to do to eliminate a variable.

... s -2t = 0 . . . . . . . . . . . . subtract 2t to put into standard form

So, our system of equations is ...

  • 10s +25t = 11700
  • s -2t = 0

<em>What </em>elimination<em> is all about</em>

The idea with "elimination" is to find a multiple of one (or both) equations such that the coefficients of one of the variables are opposite. Then, the result of adding those multiples will be to eliminate that variable.

Here, we can multiply the second equation by -10 to make the coefficient of s be -10, the opposite of its value in the first equation. (We could also multiply the first equation by -0.1 to achieve the same result. This would result in a non-integer value for the coefficient of t, but the solution process would still work.)

Alternatively, we can multiply the first equation by 2 and the second equation by 25 to give two equations with 50t and -50t as the t-variable terms. These would cancel when added, so would eliminate the t variable. (It seems like more work to do that, so we'll choose the first option.)

<em>Solution by elimination</em>

... 10s +25t = 11700 . . . . our first equation

... -10s +20t = 0 . . . . . . . second equation of our system, multiplied by -10

... 45t = 11700 . . . . . . . . .the sum of these two equations (s-term eliminated)

... t = 11700/45 = 260 . . . . . divide by the coefficient of t

... s = 2t = 520 . . . . . . . . . . use the relationship with s to find s

_____

<em>Solution using your number sense</em>

As soon as you see there is a relation between single-day tickets and 3-day tickets, you can realize that all you need to do is bundle the tickets according to that relation, then find the number of bundles. Here, 2 single-day tickets and 1 three-day ticket will bundle to give a package worth 2×$10 + $25 = $45. Then the revenue of $11700 will be $11700/$45 = 260 packages of tickets. That amounts to 260 three-day tickets and 520 single-day tickets.

(You may notice that our elimination solution effectively computes this same result, where "t" and the number of "packages" is the same value (since there is 1 "t" in the package).)

6 0
3 years ago
What is the interquartile range of the numbers 9, 28, 16, 2, 33, 6, 10
Mumz [18]

Answer:

IQR = 22

Step-by-step explanation:

IQR Formula:

IQR = Q3 - Q1

In order you find Q3 and Q1, please follow these steps:

1. First, you need to order the list of numbers from least to greatest:

2, 6, 9, 10, 16, 28, 33

2. Then, you need to find the median, or the middle number.

2, 6, 9, 10, 16, 28, 33

3. In order to find IQR, you must find the first and third quartiles.

2, 6, 9, 10, 16, 28, 33

Q1 = 6

Q3 = 28

This is because 6 basically means that all the numbers leading to 6 would account for 25% of the data while all the numbers leading to 28 would account for 75% of the data, hence why these are called quartiles.

Now since you have Q1 and Q3, you follow the formula.

28 - 6 = 22

IQR = 22

6 0
3 years ago
Plz help with the math worth 21 points
irinina [24]

Answer:

As there is one math problem over there.

Lets see the question first:

It says that "A hair dryer is rated 1200\ W,if you use the dryer for 0.25\ h.How much electric energy do you use ?"

Final answer = Electic energy =0.3\ kW\ h

Step-by-step explanation:

Electrical Energy E=Power \times time.

The total amount of electrical energy used depends on the total power used by the electrical device and the total time they are used for.

So we have been given the power of the hair dryer =1200\ W =\frac{1200}{1000}=1.2\ kW

Now the time it has been use for =0.25\ hrs

To calculate electric energy we will multiply both the terms.

Electric energy =0.12 \times 0.25 =0.3\ kW\ h

So electric energy used for the hairdryer is =0.3\ kW\ h

7 0
3 years ago
HELP!<br> Simplify this radical.
Usimov [2.4K]
The simplified answer to that radical is attached

5 0
3 years ago
Other questions:
  • Question 1 (5 points)
    9·1 answer
  • Solve the quadtdd atic function (x + 1)2 = 16​
    9·1 answer
  • How can you multiply a mixed number
    14·2 answers
  • Which of the following is the solution for the inequaility below?-3x+2&lt;8
    13·1 answer
  • 50 pennies weigh 135 grams. 1 ounce equals to 30 grams. How many ounces will 100 pennies weigh?
    14·1 answer
  • * If you are given the measurements of two sides of a triangle,
    14·2 answers
  • What’s is the fractional value of a?
    13·1 answer
  • 2. You need to work a total of 44 hours per week at your two jobs. Your job as a store clerk pays
    7·1 answer
  • Malcom and his sister ran 3 races. Their distances are shown below.
    14·1 answer
  • PLEASE PLEASE PLEASEEE! THIS IS DUE TOMORROW! ILL THANKS AND WHAT EVER ELSE I CAN TO WHOEVER GETS THIS!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!