1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pickupchik [31]
2 years ago
10

Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with center at point C. Alicia draw

s two diameters and connects the points where the diameters intersect the circle, in order, around the circle. Benjamin tells Alicia that she was not being very accurate. He says that the diameters must be perpendicular to each other. Then she can connect the points, in order, around the circle. Caleb tells Alicia and Benjamin that he doesn't need to draw the second diameter. He says that because a triangle inscribed in a semicircle is a right triangle, he will simply draw two such triangles, one in each semicircle. Together the two triangles will make a square. Who is correct?​
Mathematics
1 answer:
True [87]2 years ago
6 0

Benjamin is correct about the diameter being perpendicular to each other and the points connected around the circle.

<h3>Inscribing a square</h3>

The steps involved in inscribing a square in a circle include;

  • A diameter of the circle is drawn.
  • A perpendicular bisector of the diameter is drawn using the method described as the perpendicular of the line sector. Also known as the diameter of the circle.
  • The resulting four points on the circle are the vertices of the inscribed square.

Alicia deductions were;

Draws two diameters and connects the points where the diameters intersect the circle, in order, around the circle

Benjamin's deductions;

The diameters must be perpendicular to each other. Then connect the points, in order, around the circle

Caleb's deduction;

No need to draw the second diameter. A triangle when inscribed in a semicircle is a right triangle, forms semicircles, one in each semicircle. Together the two triangles will make a square.

It can be concluded from their different postulations that Benjamin is correct because the diameter must be perpendicular to each other and the points connected around the circle to form a square.

Thus, Benjamin is correct about the diameter being perpendicular to each other and the points connected around the circle.

Learn more about an inscribed square here:

brainly.com/question/2458205

#SPJ1

You might be interested in
The histogram represents the number of gallons of gasoline that drivers purchase weekly. Which bar represents the number of gall
padilas [110]

Answer:

option B) Bar 2

Step-by-step explanation:

The histogram represent the number of gallons of gasoline on x axis.

The number of drivers purchase weekly on y axis.

In this histogram 5 Bars are shown.

First bar represents = 5 drivers

Second bar represents = 6 drivers

Third bar represents = 1 driver

Fourth bar represents = 3 drivers

Fifth bar represents = = 4 drivers

So the second bar represents the the number of gallons most drivers purchased during the week.

Therefore, option B) Bar 2 is the correct answer.

7 0
3 years ago
a submarine descends 480 ft and 24 seconds the submarines elevation changes at a constant rate what is the elevation change of t
Vlad1618 [11]

Answer:

The submarine would be 900 below the ocean surface after 12 minutes assuming it started its descent at the surface of the ocean.

Step-by-step explanation:

The formula for distance traveled (in this case the distance a submarine descends) over a period of time is:

d

=

r

⋅

t

where

d

is the distance traveled (or descended),

r

is the rate of travel and

t

is the time.

In this problem we are told the rate,

r

is 75 feet per minute. And, we are told the time,

t

, to calculate for which is 12 minutes.

7 0
2 years ago
420 people. $2 for adults and $1 for children. Total receipts were $680. How many adults and how many children?
Ymorist [56]

I believe the answer is near 200-250 adults and about 50-70 children

3 0
3 years ago
Read 2 more answers
Evaluate the numerical expression 2.5(−4.4 − 3.5)
Sophie [7]
<span>2.5(−4.4 − 3.5)
=</span>−4.4 − 3.5=-7.9
=2.5(-7.9)
=-19.75

6 0
3 years ago
What is the following product?
jenyasd209 [6]

Answer:

10\sqrt{3}

Step-by-step explanation:

\sqrt{30} .\sqrt{10} \\= \sqrt{300} \\=\sqrt{100*3} \\= 10 \sqrt{3}

6 0
3 years ago
Other questions:
  • Please help!!!!! Thanks I will mark brainlest!!
    15·1 answer
  • If f(x)=3-|7+2x|, evaluate if f(-5)
    8·2 answers
  • Which step shows the result of applying the subtraction property of equality? One-fourth (12 x + 8) + 4 = 3 Step Solution 1 3 x
    14·2 answers
  • Find the equation of the line that passes through (3,1) and is parallel to
    14·1 answer
  • Which value of x makes the equation true?
    7·1 answer
  • Can someone help me please
    13·2 answers
  • HELP FAST !!! WILL GIVE BRAINLIEST!!
    9·1 answer
  • Help me find the value of f(-5)
    15·2 answers
  • Find the equation of the line with slope 1 and y-intercept (0,−1).
    12·1 answer
  • ⚠️‼️⚠️ HELPPP PLEASE WILL GIVE POINTS ‼️⚠️⚠️​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!