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LenKa [72]
3 years ago
12

Is this figure defined by points E, F, G, and H a rectangle? Justify your answer.

Mathematics
1 answer:
Stels [109]3 years ago
8 0

Answer: Second option.

Step-by-step explanation:

By definition, a Quadrilateral is a flat shape that has four straight sides.

A Rectangle is a Quadrilateral and has the following properties:

1. Its Opposite sides have the  same length.

2. All its angles have equal measure (They are congruent).

3. Each one of those angles measure 90 degrees (An angle with this measure is also known as "Right angle").

4. Its opposite sides are parallel.

5. Its opposite sides have equal lenght.

In this case you can observe that the figure defined by the points E, F, G, and H has four sides, four right angles and its opposite sides are parallel and have equal length.

Therefore, based on the above, you can conclude that it is a Rectangle.

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Scorpion4ik [409]
The two regular hexagons could have different side lengths, so they will not necessarily always be congruent, but they will always be similar.
8 0
3 years ago
Read 2 more answers
A 748-N man stands in the middle of a frozen pond of radius 4.0 m. He is unable to get to the other side because of a lack of fr
Ber [7]

Answer:

The man will take 64 seconds to reach to the south shore of the frozen pond.

Step-by-step explanation:

Given:

Weight of the man = 748 N      Mass of the man,(m)= \frac{W}{g} = \frac{748}{9.8} = 76.32 kg

Radius of the pond (r) = 4 m

Mass of the textbook = 1.2 kg

Velocity at which the textbook is thrown = 4 ms^1

We have to find the velocity of the man after the throw.

Let the velocity is V_m .

Now using law of conservation of momentum we can find the V_m value.

m_(_b_)V_b_(_i_) +m_(_m_)V_m_(_i_) =m_(_b_)V_b_(_f_)+m_(_m_) V_m_(_f_)

Considering V_m_(_f_)=V_m

And initial velocity of both the man and book i.e V_b_(_i_)=0,\ V_m_(i_)=0

So,

⇒ 0 =m_(_b_)V_b_(_f_)+m_(_m_) V_m

⇒ Plugging the values.

⇒ V_m=-\frac{m_(_b_)V_b_(_f_)}{m_(_m_)}

⇒ V_m=-\frac{1.2\times 4}{76.32}

⇒ V_m=-0.062 ms^-1

Here the negative velocity is meant for opposite direction of the throw.

Numerically we will write, V_m = 0.062

With this velocity the man will move towards south.

We have to calculate the time taken by the man to move to its south shore.

And we know velocity(v)\times time(t) = distance(d)

Let the time taken be t and v\times t = d and d=r then, V_m\times t=r

Then

⇒ t=\frac{radius\ (r)}{V_m}

⇒ Plugging the values.

⇒ t=\frac{4}{0.062}

⇒ t =64 sec

The man will take 64 seconds to reach to the south shore of the frozen pond (circular).

5 0
2 years ago
Joy earns $90.00 a month babysitting. She saves 15% of the money and is able to spend the rest. How much money does she save a m
alisha [4.7K]
You have 90 and you have 15%

so you have to subtract 90 and 15%
 
90-15%=76.5

she puts $13.50 in savings and is able to spend $76.5
4 0
3 years ago
Best gets brainliest
NemiM [27]

Answer:

A

Step-by-step explanation:

5 0
2 years ago
Calculate the average speed between 160 s to 200 s
olga55 [171]

v=(0-150)/(200-160)=-150/40=-3,75Answer:

-3,75

Step-by-step explanation:

Velocity is the derivative of time displacement

The geometric meaning of the derivative-tangent of the angle of inclination of the tangent to the function.

5 0
3 years ago
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