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siniylev [52]
2 years ago
13

Prove that the circumcenter of a triangle is equidistant from its vertices.

Mathematics
1 answer:
ruslelena [56]2 years ago
5 0

Answer:

Step-by-step explanation:

The circumcenter is equidistant from the three vertices of the triangle. From the figure shown, we will prove DA = DB = DC. 2) DA = DB, DC = DB(If a point is on the perp. bisector of a segment, it is equidistant from each endpoint of the segment.)

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3 0
3 years ago
What is the real answer !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Troyanec [42]
Real answer for what??
3 0
3 years ago
Jack drove to work in the morning at an average speed of 45 miles per hour. He returned home in the evening along the same route
Dmitry [639]

Answer:

Step-by-step explanation:

Let's say that the time it took him to get to work in the morning is  t hours. Then the time it took him to get home in the afternoon must be 1 - t hours. We know that for any trip, distance equals rate times time or d = rt . That means that the distance he drove to work is given by , but we also know that the distance he drove to get home must be the same distance, because he took the same route (and, presumably, no one picked up him house and moved it while he was at work) so for the trip home we can say  d = 30 × (1 - t) and since the distances are equal, we can say: 

45t = 30 × (1 - t)

45t = 30 - 30t

45t + 30t = 30

75t = 30

t = 30/75

t = 2 /5 hour to drive to work at 45mph

Since ,  d = rt

d = 45 ×(2/5) = 18miles

8 0
3 years ago
Help me, please I need the answer
Len [333]

Considering it's dimensions and the formula, the volume of the cuboid is of 160 cm³.

<h3>What is the volume of a rectangular prism?</h3>

The volume of a rectangular prism, such as a cuboid, is given by the <u>area of the base multiplied by the height</u>, that is:

V = Ab x h

In this problem, the base is a square of sides 4 cm, with the height of 10 cm, hence the volume is given by:

V = 4² x 10 = 160 cm³.

More can be learned about the volume of a cuboid at brainly.com/question/22694657

#SPJ1

6 0
2 years ago
Patrice, by himself, can paint four rooms in 10 hours. If he hires April to help, they can do the same job together in 6 hours.
Elodia [21]

-- The whole discussion involves 4 rooms, never more and never less,
so we can call the 4 rooms "1 job" for simplicity.

-- Patrice, by himself, does the job in 10 hours.  So he does 1/10 of
the job each hour.

-- Working together, Patrice and April do the job in 6 hours.  So when
they work together, they do 1/6 of the job each hour.

-- April's part of the job is (1/6 - 1/10) = (5/30 - 3/30) = 2/30 = 1/15 job per hour.

-- Her unit rate alone is  1/15 job per hour, or  <em>15 hours</em> per job.


5 0
2 years ago
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