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Gemiola [76]
2 years ago
5

What type of quadrilateral has the vertices A(3 , 6), B(3 , 3), C(6 , 3),and D(6 , 6)

Mathematics
1 answer:
Law Incorporation [45]2 years ago
4 0

Answer:

It is a square.

<h3>Step-by-step explanation:</h3>

Background:

With this, lets find the distance between each of the shape's points, in order to find which shape it is.

Here's the distance formula, its a bit overkill for what you're doing right now, but it may help you with questions later on.

d=√(x2​−x1​)2+(y2​−y1​)2

Process:

​So with this, compare the distance between each of the points. With Point A, it is (3, 6) with Point B it is (3,3). The change between these two points is down 3.

Next, with Point B (3,3) and Point C (6,3). The change between these two points is right 3.

Then, with Point C (6,3) and Point D (6,6). The change between these two points is up 3.

Last, with Point D (6,6) and Point A (3,6). The change between these two points is left 3.

Reasoning:

From this, we can see that all of the distance lengths are 3 units and that each of them create 90 degree angle turns*.

*You can find this by noting that the total amount of a rotation is 360 degrees, so when you change walking from up to the right, you are turning 90 degrees to do so.

Answer:

With this information in mind, it can be named a square given the definition of square:

"A regular quadrilateral, which means that it has four equal sides and four equal angles."

<em>https://en.wikipedia.org/wiki/Square</em>

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If DF = 9x-39, find EF.
otez555 [7]

DF=DE+EF\\\\DF=9x-39\\DE=47\\EF=3x+10\\\\\text{substitute}\\\\9x-39=47+3x+10\\9x-39=3x+57\ \ \ |-3x\\6x-39=57\ \ \ \ |+39\\6x=96\ \ \ \ |:6\\x=16\\\\\text{put the value of x to the expression}\ 3x+10\\\\EF=3(16)+10=48+10=58

Answer: EF = 58

7 0
3 years ago
What is the simplified form of the quantity 1 over b minus 1 over a all over the quantity 1 over b plus 1 over a?
jolli1 [7]

Option B: (b-a)/(b+a) is the correct answer

Step-by-step explanation:

The given expression is;

\frac{\frac{1}{b}-\frac{1}{a}}{\frac{1}{b}+\frac{1}{a}}

First of all we have to take LCM in both numerator and denominator

So,

=\frac{\frac{b-a}{ab}}{\frac{b+a}{ab}}

The reciprocal of the denominator will be multiplied with the numerator for simplification

So,

=\frac{b-a}{ab} * \frac{ab}{b+a}\\= \frac{b-a}{b+a}

Hence,

Option B: (b-a)/(b+a) is the correct answer

Keywords: Fractions, expressions

Learn more about fractions at:

  • brainly.com/question/5424148
  • brainly.com/question/5461619

#LearnwithBrainly

4 0
3 years ago
Break apart ones to make a ten<br><br> 62 + 9 =
dsp73

Answer:

71

Step-by-step explanation:

I know this because 62 and 9 equal 71

7 0
3 years ago
If you form a triangle from two given angle measures and the length of the included side, will you always get one triangle or wi
Ann [662]

Answer:

It is not always possible to construct a triangle from a given side length and two angles. If the two given angles add to more than 180°, the sides of the triangle will diverge and never meet.

Step-by-step explanation:

7 0
3 years ago
Simplify the square root of 40x^4
Otrada [13]

Answer:

4 = 22

Step-by-step explanation:

Factor 40 into its prime factors

          40 = 23 • 5

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

          4 = 22

Factors which will remain inside the root are :

          10 = 2 • 5

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

          2 = 2

At the end of this step the partly simplified SQRT looks like this:

        2 • sqrt (10x4)  

Rules for simplifing variables which may be raised to a power:

  (1) variables with no exponent stay inside the radical

  (2) variables raised to power 1 or (-1) stay inside the radical

  (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

     (3.1) sqrt(x8)=x4

    (3.2) sqrt(x-6)=x-3

   (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

     (4.1) sqrt(x5)=x2•sqrt(x)

    (4.2) sqrt(x-7)=x-3•sqrt(x-1)

Applying these rules to our case we find out that

     SQRT(x4) = x2

  sqrt (40x4) =

       2 x2 • sqrt(10)

Simplified Root :

2 x2 • sqrt(10)

6 0
2 years ago
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