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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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A bag contain 5 red marbles,4 green marbles and 1 blue marble. A marble is chosen at random from the bag and not replaced; then
jarptica [38.1K]

Answer:

\frac{2}{15}

Step-by-step explanation:

GIVEN: A bag contain 5 red marbles,4 green marbles and 1 blue marble. A marble is chosen at random from the bag and not replaced, then a second marble is chose.

TO FIND: What is the probability both marbles are green.

SOLUTION:

Total marbles in bag =10

total number of green marbles =4

Probability that first marble will be green P(A)=\frac{\text{total green marbles}}{\text{total marbles}}

                                                                    =\frac{4}{10}=\frac{2}{5}

Probability that second marble will be green P(B)=\frac{\text{total green marble in bag}}{\text{total marble in bag}}

                                                                                    \frac{3}{9}=\frac{1}{3}

As both events are disjoint

probability both marbles are green =P(A)\times P(B)

                                                           =\frac{2}{5}\times\frac{1}{3}=\frac{2}{15}

Hence  the probability both marbles are green is \frac{2}{15}

8 0
3 years ago
A patrolman spends 25% every day completing paperwork. The patrolman’s shift each day is 8 hours. How much of his time does he s
fredd [130]
Assuming the man works 8 hours straight without breaks:

25% is the same as 1/4 of something.

So, we just have to figure out what 1/4 (one quarter) of 8 equals.

You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.

If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.

Now, 25% (one quarter) of the pizza will equal half of what is left:

If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).

That's it! 25% of 8 hours = 2 hours.

***So, the patrolman spends 2 hours each day completing paperwork.***

Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).

So

25% + 25% + 25% + 25% = 100%

If 100% of the mans shift = 8 hours:

2+2+2+2 = 8

It checks out!


Hope this helps!



4 0
3 years ago
Answer the question below please
PSYCHO15rus [73]

Answer:

x=7

Step-by-step explanation:

AC=3x+3  AB=-1+2x and BC=11

AC = AB + BC

ALL THE STEPS:

3 X + 3 = - 1 + 2 X + 11

3 X + 3 = 2 X + 10

3 X + ( - 2 X ) + 3 = 2 X + ( - 2 X ) + 10

X + 3 = 10

X + 3 + ( - 3 ) = 10 + ( - 3 )

X = 7

5 0
3 years ago
Read 2 more answers
Translate into an alegbraic expression and simplify if possible.
serg [7]

Answer:

(10-x)GB

Step-by-step explanation:

Music=10-x, simple arithmetic

6 0
3 years ago
How is (y=15x) a proportional relationship?
Elina [12.6K]

Answer:

because y and x are equivalent and equal 15

Step-by-step explanation:

3 0
3 years ago
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