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
vaieri [72.5K]
3 years ago
12

PLEASE HELP!! (50 POINTS)

Mathematics
1 answer:
Marrrta [24]3 years ago
8 0

Answer:

Since pair of opposite sides are parallel and adjacent sides meets at right angles, the quadrilateral COAT is a rectangle.

Step-by-step explanation:

The vertices of the given quadrilateral is C(2,0),O(7,0),A(7,2),T(2,2)

It is sufficient to show that pair of opposite sides are parallel and adjacent sides are perpendicular.

The slope of each side can be found using the formula;


m=\frac{y_2-y_1}{x_2-x_1}


Slope of CO,

M_{CO}=\frac{0-0}{7-2}=\frac{0}{5} =0

A line with a zero slope is a horizontal line.


The slope of OA,

M_{OA}=\frac{2-0}{7-7} =\frac{2}{0}

This slope is undefined.

A line with an undefined slope is a vertical line.

This shows that,the side CO and OA of the quadrilateral meets at right angle.


The slope of AT,

M_{AT}=\frac{2-2}{7-0}=\frac{0}{5}=0


This is also a horizontal line.

The slope of TC,


M_{TC}=\frac{2-0}{2-2} =\frac{2}{0}


This also a vertical line.


This implies that, side TC and side AT meets at Tat right angles and TC is parallel to OA.

Also AT is parallel to TO.


This shows that COAT is a rectangle.

You might be interested in
Select all the points that are on the graph of the line 2+4=20
mafiozo [28]

Answer:

<em>A or B, it's either one of the two</em>

7 0
2 years ago
You have to spend money to make money ! You purchase a mix of newspaper ads and online ads. Each newspaper ad cost $18.50 and ea
SpyIntel [72]

Answer:

You buy six newspaper ads & eighteen social media ads.

Step-by-step explanation:

First, we change ads into variables to be more easier to calculate :

Let newspaper = x

Let social media = y

Second, make this variables into an equation, given that you purchase a total of 24 ads :

x + y = 24 (first equation)

Next, given that x = $18.50 & y = $26.50 & spent a total of $588 so you can make another equation :

18.50x + 26.50y = 588 (second equation)

Now, solve this simultaneous equation using elimination or substitution (depends on you) :

substitution =>

x + y = 24 ----------(1)

18.50x + 26.50y = 588 ---------(2)

(1)=> y = 24 - x ------(3)

(3)=>(2) 18.5x + 26.5(24-x) = 588

18.5x + 636 - 26.5x = 588

-8x = -48

x = 6

sub x=6 into(3)

(3)=> y = 24 - 6

= 18

newspaper = x

= 6

social media = y

= 18

6 0
3 years ago
The producer of the news station posted an article about the high school's football championship ceremony on anew website. The w
sasho [114]

Incomplete question. The full question read;

The producer of the news station posted an article about the high school’s football championship ceremony on a new website. The website had 500 views after four hours. Create a table to show how many views the website would have had after the first, second, and third hours after posting if the website receives views at the same rate. How many views would the website receive after 5 hours?

Answer:

<u>625 views</u>

Step-by-step explanation:

<em>Remember,</em> we are told to <u>base our calculation on the assumption that the website receives views at the same rate.</u>

Hence, if after 4 hours there were 500 views, it means the average views per hour would be 500/4 = 125 views. So for every hour, there would be 125 added views to the total.

In other words,

First hour: <u>125 views</u>

Second hour:<u> </u><u>250 views (125 views + 125 views</u>)

Third hour: <u>375 views (250 views + 125 views)</u>

Fourth hour: <u>500 views (375 views + 125 views)</u>

Fifth hour:<u> 625 views (500 views + 125 views)</u>

7 0
3 years ago
Which statement is true?
Crank
The answer is neither because to be complementary they need to equal 90 degrees and to be supplementary the need to equal 180 degrees. The sum of the two angles equals 169 degrees.
4 0
3 years ago
Select the correct answer. Evaluate the following expression when x = -4 and y = 4. A. B. C. D.
andriy [413]

The value of given expression when x=-4 and y=4 is 1250.

The expression is missing in the question which is \dfrac{x^6-x}{4y}.

We have to solve it for x= -4 and y = 4.

Now putting the value of x and y we get,

\dfrac{x^6-x}{4y}=\dfrac{(-4)^6-(-4)}{4}

\dfrac{x^6-x}{4y}=\dfrac{4096+4}{4}

\dfrac{x^6-x}{4y}=1250

Hence the value of given expression when x=-4 and y=4 is 1250.

For more details follow the link:

brainly.com/question/11897796

3 0
2 years ago
Other questions:
  • Luther takes 45 bottles of water on a camping trip. If he drinks 80 % of them how many does he have left?
    10·1 answer
  • $15.60 to $11.70 Increase or decrease
    8·2 answers
  • Given f(x) =x^2 -x and g(x)=3x-4 what is g(f(-3))
    5·1 answer
  • The surface area of the rectangular prism below is 286in2. Find the height.
    12·1 answer
  • 10 = 2j – 4 <br> what does j =
    5·2 answers
  • Patricia’s dog, Max, weighs 6.75 kilograms. There are approximately 0.45 kilograms in 1 pound. Which measurement is closest to t
    9·1 answer
  • A company makes $300 each month selling its products to the public. The company has $435 in its bank account. How many months of
    13·1 answer
  • Tim has already earned $30 mowing lawns. He earns $10 per lawn. Write and solve an inequality to determine how many more lawns h
    11·1 answer
  • No Links!! A tissue box has a height of 4 inches, a width of 8 inches and a length of 5.5 inches. What is the volume in inches c
    5·1 answer
  • 4.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!