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Pachacha [2.7K]
3 years ago
12

Which best explains why the orthocenter of an obtuse triangle is outside the triangle?

Mathematics
2 answers:
aivan3 [116]3 years ago
7 0
The answer is A. all three of the latitudes lie entirely outside the triangle

its a because all the altitudes have to cross each other so when an obtuse angle is being measured the altitudes have to cross but the only way they can can cross is if they are outside of the angle to get  the right mesaurement 
AlladinOne [14]3 years ago
3 0

Answer: A is the right answer.All three of the altitudes lie entirely outside the triangle.


Step-by-step explanation:

Orthocenter of a triangle is a point which formed by intersection of all the three concurrent altitudes. It can be inside or outside of a triangle. In obtuse triangle All three of the concurrent altitudes lie entirely outside the triangle .Therefore its intersection will lie outside and that intersection is orthocenter of the obtuse triangle .

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At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Ge
balandron [24]

Answer:

Each student ticket costs $8.33

Each adult ticket costs $15.34

Step-by-step explanation:

At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?​

s = cost of each student ticket

a = cost of adult ticket

Our system of equations:

4s + 2a = 64

3s + 3a = 71

-3(4s + 2a = 64) ==> -12s - 6a = -192

2(3s + 3a = 71) ==>     6s + 6a = 142

-12s - 6a = -192

  6s + 6a = 142

-6s = -50

/-6      /-6

s = $8.33 (the cost of each student ticket)

Now, let's find the cost of each adult ticket:

4s + 2a = 64

4(8.33) + 2a = 64

33.32 + 2a = 64

-33.32         -33.32

2a = 30.68

/2        /2

a = 15.34 (the cost of each adult ticket)

(x, y) ==> (8.33, 15.34)

Check your answer:

4s + 2a = 64

4(8.33) + 2(15.34) = 64

33.32 + 30.68 = 64

64 = 64

This statement is true

Hope this helps!

8 0
2 years ago
HeLPPP
sveta [45]

Answer:

1/2 is the answer. i just took the quiz

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
PLEASE HELP me with the magic square
defon

Fill in each slot in the square with variables <em>a</em>, <em>b</em>, <em>c</em>, <em>d</em>, and <em>e</em>, in order from left-to-right, top-to-bottom. In a magic square, the sums across rows, columns, and diagonals all add up to the same number called the <em>magic sum</em>.

The magic sum is -3.9, since "diagonal 2" (bottom left to top right) has all the information we need:

3 + (-1.3) + (-5.6) = -3.9

Use this to find the remaining elements

  • row 1:

<em>a</em> + <em>b</em> + (-5.6) = -3.9

  • row 2:

<em>c</em> + (-1.3) + <em>d</em> = -3.9

  • row 3:

3 + <em>e</em> + 0.02 = -3.9

  • column 1:

<em>a</em> + <em>c</em> + 3 = -3.9

  • column 2:

<em>b</em> + (-1.3) + <em>e</em> = -3.9

  • column 3:

(-5.6) + <em>d</em> + 0.02 = -3.9

  • diagonal 1 (top left to bottom right):

<em>a</em> + (-1.3) + 0.02 = -3.9

You will find

<em>a</em> = -2.62

<em>b</em> = 4.32

<em>c</em> = -4.28

<em>d</em> = 1.68

<em>e</em> = -6.92

5 0
2 years ago
What is 25+120-10x=10x-35=
Alexandra [31]
145-10x=10x-35

Add 35 to both sides.

175-10x=10x

Add 10x to both sides.

175=20x

Divide both sides by 20

8.75=x


6 0
2 years ago
In circle C. r = 32 units.
Tamiku [17]

Answer:

1024 pi

Step-by-step explanation:

r = 32 units.

Area = pi * r^2

Area = 3.14 * 32^2

Area = 1024 * pi

Tt = pi??

7 0
3 years ago
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