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Anna35 [415]
3 years ago
9

Can someone explain how to solve this question:

Mathematics
1 answer:
Svetach [21]3 years ago
8 0

Answer: The answer is 51 degrees


Step-by-step explanation:


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What is the orthocenter of a triangle with vertices A(−3,−2)A(−3,−2), B(−2,2)B(−2,2), and C(2,−2)C(2,−2)?
ExtremeBDS [4]

A(−3,−2), B(−2,2), C(2,−2)

The orthocenter is the meet of the altitudes. We see AC is parallel to the x axis so the perpendicular x=-2 is the altitude through B.

Between A and B we have slope (2 - -2)/(-2 - -3) = 4 so perpendicular slope -1/4 through C(2,-2):

y+2 = -\frac 1 4 (x - 2)

For the y coordinate of the orthocenter we substitute in x=-2.

y+2 = -\frac 1 4(-2 - 2) = 1

y = -1

So the orthocenter is (x,y)=(-2,-1)

Answer: (-2,-1)

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3 years ago
Can you help me solve these?
snow_tiger [21]

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Stephen is using a map to plan a hike. The map is based on a scale of 1:40,000, in cm. If the route is 10 cm on the map, how man
kvasek [131]
1/40,000 = h/10
40,000h = 10
h = 10/40,000
h = 1/4,000
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