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3 years ago

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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7) 5x – 3y – 4z = 24<br> 5x + 3y + 5z = 27<br> 4x - 3y + 5z = 28

OLEGan [10]

Answer:

Step-by-step explanation:

8 0

3 years ago

The question is; One kindergartner will be chosen at random to accept a prize. What is the probability that the student is a gir

Flauer [41]

Im pretty sure the answer is A

5 0

3 years ago

Can you form a triangle with these given side lengths? 12 , 8 , 16<br><br> Please help me!!!!

Scilla [17]

Answer:

yes

Step-by-step explanation:

12+8>16

the two short sides have to be greater than the longest dude when combined and that is true so you can form a triangle

6 0

3 years ago

Read 2 more answers

Determine the number of real solutions for each of the given equations. Equation Number of Solutions y = -3x2 + x + 12 y = 2x2 -

rosijanka [135]

Answer:

Step-by-step explanation:

Our equations are

$y = -3x^2 + x + 12\\y = 2x^2 - 6x + 5\\y = x^2 + 7x - 11\\y = -x^2 - 8x - 16\\$

Let us understand the term Discriminant of a quadratic equation and its properties

Discriminant is denoted by D and its formula is

$D=b^2-4ac\\$

Where

a= the coefficient of the $x^{2}$

b= the coefficient of $x$

c = constant term

Properties of D: If D

i) D=0 , One real root

ii) D>0 , Two real roots

iii) D<0 , no real root

Hence in the given quadratic equations , we will find the values of D Discriminant and evaluate our answer accordingly .

Let us start with

$y = -3x^2 + x + 12\\a=-3 , b =1 , c =12\\D=1^2-4*(-3)*(12)\\D=1+144\\D=145\\D>0 \\$

Hence we have two real roots for this equation.

$y = 2x^2 - 6x + 5\\$

$y = 2x^2 - 6x + 5\\a=2,b=-6,c=5\\D=(-6)^2-4*2*5\\D=36-40\\D=-4\\D$

Hence we do not have any real root for this quadratic

$y = x^2 + 7x - 11\\a=1,b=7,-11\\D=7^2-4*1*(-11)\\D=49+44\\D=93\\$

Hence D>0 and thus we have two real roots for this equation.

$y = -x^2 - 8x - 16\\a=-1,b=-8,c=-16\\D=(-8)^2-4*(-1)*(-16)\\D=64-64\\D=0\\$

Hence we have one real root to this quadratic equation.

7 0

3 years ago

Suppose U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set and G = {1, 2, 3, 4, 5, 6, 7}. What is G?

Nesterboy [21]

Your posted question defines G, then asks what G is.
G is the set in the definition you gave.

G = {1, 2, 3, 4, 5, 6, 7}

_____
Perhaps you want to know the complement of G. That is all the elements of U that are not in G.

G' = {8, 9, 10}

3 0

3 years ago