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Arisa [49]
3 years ago
14

Is the orthocenter of a triangle on the inside ?

Mathematics
2 answers:
Olegator [25]3 years ago
8 0
It isn’t always in the triangle
likoan [24]3 years ago
7 0

Answer:

It turns out that all three altitudes always intersect at the same point - the so-called orthocenter of the triangle. The orthocenter is not always inside the triangle. If the triangle is obtuse, it will be outside. To make this happen the altitude lines have to be extended so they cross.

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Sara sold hotdogs and drinks at the soccer game.
Anarel [89]

Answer:

$11

Step-by-step explanation:

Set up the system of equations

18x + 9y = 45

20x + 12y = 52

Let's try to get y on one side for the first equation.

9y=45-18x

y=5-2x

Now substitute it into the second equation.

20x + 12(5-2x) = 52

20x + 60 - 24x = 52

-4x = -8

x = 2

Now solve for y using the first equation.

18(2) + 9y = 45

36 + 9y = 45

9y = 9

y = 1

Now that we know x and y we can solve for the price of 4 hot dogs and 3 drinks.

4(2) + 3(1) = z

8 + 3 = z

11 = z

That means that the price is 11 dollars.

7 0
3 years ago
Candy's Sweets Company charges $1.15 per pound to ship candy.
allochka39001 [22]

Answer:

<em>Part A: </em>

<em>c = 1.15p</em>

<em>c(2) = $2.30</em>

<em>Part B: </em>

<em>c = 0.90p</em>

Part B:

Step-by-step explanation:

<u>Linear Models</u>

Candy's Sweets Company charges $1.15 per pound to ship candy.  This represents a proportional relationship between the pounds of candy and the cost.

Part A: If each pound costs $1.15, then p pounds cost $1.15p. Then the equation of the cost c is:

c = 1.15p

The cost of shipping p=2 pounds of candy is:

c = 1.15*2 = 2.30

c = $2.30

Part B: When the company reduces the cost by $0.25 per pound, the new unit cost is $1.15 - $0.25 = $0.90 per pound.

The new equation to determine the total cost for p pounds of candy is:

c = 0.90p

8 0
3 years ago
Thanks for the help pt.1​
erma4kov [3.2K]
(jk)(x)= j (k(x)) = j(9-2x)

= -7(9-2x) = -63 + 14x

but i see there is no such option. may be second option is typo.

so you can select 2nd option
4 0
3 years ago
Read 2 more answers
Cally made a rectangular sandbox. It is 8 feet long and 10 feet
Mnenie [13.5K]

Answer:

160 pounds of sand.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Bill rode 9 miles on saturday. 9n sunday he rode his bicycle 4 times the number of miles he rode on saturday.
elena-s [515]
He rode 36 miles on sunday
3 0
3 years ago
Read 2 more answers
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