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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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What is the equation of the quadratic graph with a focus of (3, 4) and a directrix of y = 8?
goldfiish [28.3K]

To answer the question, please refer to the attached image below:

 

I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

7 0
3 years ago
Are rational numbers a subset of real numbers?
valentinak56 [21]

Answer: Yep! This is true.

Explanation: Real number subsets also include irrational numbers, whole numbers, integers, and natural numbers.

7 0
2 years ago
Read 2 more answers
Arrange the quantities in order from smallest to largest.<br> 2.6 km​, 109,000 mm​, 41.7 hm
Aleksandr-060686 [28]

The order of the values using the basic unit of meters from smallest to largest. is: 109000 mm < 2.6 km < 41.7 hm

What are the units of measurement of distance or length?

Distance is the gap between any two points under consideration.

The basic unit for measuring distance is the meter.

There are larger as well as smaller units for measuring length or distance which are based on the unit of meter.

The units are as follows:

millimeter, mm = 0.001 m

centimeter, cm = 0.01 m

decimeters, dm = 0.1 m

meter, m = 1 m

kilometer, km = 1000 m

hectometer, hm = 100 m

Now to compare the given quantities making the units same as two quantities can only be compared only when there units are same :

Considering the given values;

2.6 km = 2600 m

109,000 mm = 109 m

41.7 hm = 4170 m

Therefore, after comparison arranging the quantities in order from smallest to largest is 109000 mm < 2.6 km < 41.7 hm

Learn more about quantities at:

brainly.com/question/13421174

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4 0
11 months ago
Exhibit 5-8 The student body of a large university consists of 60% female students. A random sample of 8 students is selected. R
expeople1 [14]

Answer:

P(X=2)=0.04129

Step-by-step explanation:

-This is a binomial probability problem whose function is expressed as;

P(X=x)={n\choose x}p^x(1-p){n-x}

-Given that p=0.6, n=8 , the probability that among the students in the sample exactly two are female is calculated as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=2)={8\choose2}0.6^2(1-0.6)^6\\\\=0.04129

Hence, the probability of exactly two females is 0.04129

8 0
3 years ago
Could somebody help me understand this?
pantera1 [17]

Answer:

M=a2-a1/b2-b1

Step-by-step explanation:

-3-a/-2-1

-4a/3

/-4/-4

a=3/-4

7 0
2 years ago
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