Please I need correct answer

If A(1,2), B(5,-4) and (-3,2) are the vertices of a triangle, which statement holds true?

Zigmanuir [339]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The length of different sides are:

$AB = \sqrt{(5-1)^2+(-4-2)^2} = \sqrt{16+36} = \sqrt{52}\rm\ units$

$BC = \sqrt{(-3-5)^2+(2+4)^2} = \sqrt{64+36} = 10\rm\ units$

$AC = \sqrt{(2-2)^2+(-3-1)^2} = \sqrt{16} = 4\rm\ units$

Since the length of all the sides of the triangle is not equal it is a scalene triangle.

Hence, the correct option is A.

Learn more about Triangle:

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7 0

1 year ago

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Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39. For any minutes over 200, Ben is cha

faltersainse [42]

Answer:

$\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.$

Step-by-step explanation:

We are given that Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39.

We are also told that For any minutes over 200, Ben is charged $0.35 per minute.

let x be the minutes used each month

So, if $x\leq 200$

So, coat will be $39

If $x>200$

So, Ben is charged $0.35 per minute

So, when $x>200$

So, charge = $39+(x-200)\times 0.35$

So, the piecewise functions accurately represents charges based on Ben's cell phone :

$\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.$

4 0

3 years ago

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9. Using a twenty sided number cube, what is the probability that you will roll an even number or

IceJOKER [234]

Answer:

0.85

Step-by-step explanation:

total samples cases = 20

chances that are even or odd prime are 17 chances

2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20

probability = 17/20

= 0.85

3 0

2 years ago

Two friends Ana and Juan are buying books by joining the History Book

Travka [436]

Answer:

Ana spent $17 per book on average.

Juan spent $14.78 per book on average.

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Step-by-step explanation:

Ana has to pay a yearly fee of $15 to join.

She spends a total of $525 for 30 books.

The amount spent on books = Total amount - yearly fee

= $525- $15= $510

Price per book on the average = $510/30= $ 17

Ana spent $17 per book on average.

Juan has to pay a yearly fee of $10 to join.

He spends a total of $350 for 23 books.

The amount spent on books = Total amount - yearly fee

= $350- $10= $340

Price per book on the average = $340/23= $ 14.78≅ $15

Juan spent $14.78 per book on average.

The function can be established if y gives the total cost and x gives the number of books

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Juan has a better deal because the yearly fee is less also the price per book is less.

8 0

3 years ago

jala has an aquarium in the shape of a rectangular prism with the dimensions shown. what is the height of the of the aquarium ?

beks73 [17]

I think that it your answer is 12.4 but im not 100% sure

plz mark brainiest

5 0

3 years ago

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