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lakkis [162]
3 years ago
10

. ∆ABC ~ ∆DEF. Since the triangles are similar, the ratio of AB/DE must be the same as the ratio of ?/DF. What segment complete

the previous ratio?
Mathematics
1 answer:
givi [52]3 years ago
5 0

Answer:

AC

Step-by-step explanation:

∆ABC ~ ∆DEF

AB/DE

∆ABC ~ ∆DEF

AC/DF

Answer: AC

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Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with center at point C. Alicia draw
True [87]

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

6 0
2 years ago
A toy maker claims his best product has an average lifespan of exactly 14 years. A skeptical quality control specialist asks for
slamgirl [31]

Answer:

interval = [17.3948 , 20.6052]

Step-by-step explanation:

given,

random sample (n) = 45

average product lifespan = 19 years

standard deviation = 4 years

confidence interval of 99 %  = ?

we know,

t* = qt(1.99/2 + 44 ) = qt(0.995,44)

t* = 2.692

so,

interval

x = 19 \pm t* \times (\dfrac{s}{\sqrt{n}})

x = 19 \pm 2.692 \times (\dfrac{4}{\sqrt{45}})

x = 19 \pm 2.692 \times 0.5963

x = 19 \pm 1.6052

interval = [19 - 1.6052 , 19 + 1.6052]

interval = [17.3948 , 20.6052]

4 0
3 years ago
There are 56 workers during each shift. The workers are split into teams of 14 each. How many work during a shift?​
Over [174]

Answer:

4 teams

Step-by-step explanation:

To evenly distribute 14 into 56, you divide. 56/14 is 4.

Therefore the correct answer is 4 teams.

Hope I helped!!!

5 0
3 years ago
What is the final cost of a book priced at $10.00 with a tax rate of 5%?
Sophie [7]

Answer:

10.50

Step-by-step explanation:

5% of 10 is 0.5

0.5+10=10.50

5 0
2 years ago
Read 2 more answers
okay, genuinely does anyone know how this work? if you do could you please explain how you get the answer-
fomenos

Answer:

The pdf is not showing anything

Step-by-step explanation:I would help you otherwise.I am sorry.Don't let this get you down.I hope you have a good day.

4 0
2 years ago
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