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Evgesh-ka [11]
3 years ago
14

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

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0

Answer: All three of the altitudes lie entirely outside the triangle.

Step-by-step explanation:

The orthocenter is the center of the triangle formed by creating all the altitudes of each side.  

The altitude of a triangle is formed by creating a line from each vertex that is perpendicular to the opposite side.  

In acute traingle , the orthocenter lies inside it.

In right angled triangle, the orthocenter lies on the triangle.

In obtuse triangle , the orthocenter lies outside the triangle because all the three altitudes meet outside .

So, the best explains why the orthocenter of an obtuse triangle is outside the triangle : All three of the altitudes lie entirely outside the triangle.

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the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9. write down the co
vodomira [7]

Answer:

k = 3

Step-by-step explanation:

If the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9, then their slopes are equal

For coordinate AB;

slope m1 = 3 - 3k/k-(-1)

m1 = 3-3k/k+1

For the line 2y+3x = 9

2y = -3x + 9

y = -3/2 x + 9/2

Slope m2 = -3/2

Since m1 = m2

3-3k/k+1 = -3/2

Cross multiply

2(3-3k) = -3(k+1)

Expand

6 - 6k = -3k - 3

-6k+3k = -3 - 6

-3k = -9

k = -9/-3

k = 3

Hence the value of k is 3

4 0
3 years ago
15.12 is what percent of 12?
Llana [10]

Answer:

<h2>126%</h2>

Step-by-step explanation:

\bold{METHOD\ 1}\\\\\begin{array}{ccc}15.12&-&p\%\\\\12&-&100\%\end{array}\qquad\text{cross multiply}\\\\\\12p=(15.12)(100)\\12p=1512\qquad\text{divide both sides by 12}\\p=126

\bold{METHOD\ 2}\\\\p\%=\dfrac{p}{100}\\\\p\%\ of\ 12\ is\ equal\ to\ 15.12:\\\\\dfrac{p}{100}\cdot12=15.12\\\\\dfrac{12p}{100}=15.12\qquad\text{multiply both sides by 100}\\\\12p=1512\qquad\text{divide both sides by 12}\\\\p=126

6 0
3 years ago
What is the value of x for which m || n?<br> x = 40<br> x = 5<br> x = 105<br> x = 30
QveST [7]

Answer:

(A) x=40

Step-by-step explanation:

Given: It is given that m is parallel to n.

To find: The value of x.

Proof: It is given that m is parallel to n, from the figure it can be seen that 105° and (3x-15)° forms alternate exterior angles which are equal in measure because m is parallel to n.

Thus, 105^{\circ}=3x-15^{\circ}

⇒105^{\circ}+15^{\circ}=3x

⇒120^{\circ}=3x

⇒\frac{120}{3}=x

⇒x=40

Thus, the value of x is 40, hence option A is correct.

4 0
3 years ago
Read 2 more answers
How can you represent data that relates to two different categories?
siniylev [52]

Answer:

you can use a graph like a bar graph or a pie chart. or a table that has two parts like what is linked. make sure for the graph to have a key

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Plzzz help i will give brainliest if i can
Alla [95]

Answers: choice C and choice E

Plugging x = 3 and y = -1 into both equations of choice C lead to a true result (the same number on both sides). This is why the system of equations listed in choice C is one possible answer. Choice E is a similar story.

If your teacher didn't mean to make this a "select all that apply" type of problem, then it's likely your teacher may have made a typo.

3 0
2 years ago
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