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Andrew [12]
1 year ago
9

I really am confused on how to write a proof.

Mathematics
1 answer:
kvasek [131]1 year ago
8 0

Since ABCD is a parallelogram, the opposite sides will be parallel and equal,

\begin{gathered} AB=CD \\ BC=AD \end{gathered}

Consider that AC acts as a transversal to the parallel lines AB and CD, so we can write,

\begin{gathered} \angle CAD=\angle ACB\text{ (Alternate Interior Angles)} \\ BC=AD\text{ (Opposite sides of parallelogram)} \\ \angle ADB=\angle CBD\text{ (Alternate Interior Angles)} \end{gathered}

So by the ASA criteria, the triangle AED is congruent to the triangle CEB,

Then the corresponding parts of the triangles will be equal,

\begin{gathered} AE=CE \\ BE=DE \end{gathered}

Hence Proved.

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The figure below is a right rectangular prism. which expression represents the volume of the prism?
Leviafan [203]

Answer: The expression (equation/formula) for the volume of a:  

     " right rectangular prism " ;   is represented by:

____________________________________________________

                    →   " V  =  L * w * h  "   ;

____________________________________________________

in which:   all the dimensions are in the same "units of measurement" (or converted to the same "units of measurement" ;  

and in which:

      " V " is the "volume" of the right rectangular prism; in the "cubic units" ; or written as:  "units³ "  ;  or, [insert the particular units used}^ ³  "   ;

  →  that is, [units] raised to the "3rd [third] power" ; assuming these units are the same  same "fundamental units of measurement"  as the "other 2 (two) values in the expression".  

    If we are given no specific units of measurement whatsoever, then we use the generic term, "units" as the "units of measurement" ; and we express the "volume; "V" ;  of a "right rectangular prism" as:  " units ³ " ; or "cubic units" ;

        in our answer— if we are asked to solve for the:

                     "volume; "V";  of a "right rectangular prism" ;

_________________________________________________

and in which:  

            "L" represents the "length" of a "right rectangular prism" ;

            "w" represents the "width" of a "right rectangular prism" ;

            "h" represents the "height" of a "right rectangular prism" .

_________________________________________________

To given an example:

  Say we have a "right rectangular prism" ; with the given measurements:

    width , "w" :   w = 2 units;  

    length, "L"  :    L  = 3 units ;

    height, "h" :    h =  8 units.

_________________________________________________

We are asked to "find the volume " ;  of this "right recentangular prism" .

The formula for the volume;  "V" ;  of this "right rectangular prism" ;

is:

_________________________________________________

          →    Volume  =  Length * width * height ;

that is:

          →    V =  L  * w * h  ;  

Solve for the volume;  "V" .

_________________________________________________

          →   V  =  L  * w * h   ;    Now plug in the values given:

          →   V =  (3 units)  * (2 units)  * (8 units) ;

                   

                    =  3 * 2 * 8 * (units) * (units) * (units) ;

                    =  3 * 2 * 8 * units ³  ;

                    =  48 units ³ .    

_________________________________________________                    

Hope this answer— and explanation—is helpful to you!

     Wishing you the best in your academic pursuits

               — and within the "Brainly" community!

_________________________________________________

4 0
3 years ago
Read 2 more answers
PLEASE HELP 20 POINTS
VashaNatasha [74]
I believe the first answer is c

7 0
3 years ago
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The question as it says that your sports drink bottle is 5/6 for after practice the bottle 3/8 full write the difference of the
Arte-miy333 [17]
You first need to make the denominators on both fractions the same and how to do that is simple. What does 6 and 8 go into to? Well, the answer is 24. You multiply 5/6 into 4 and you should get 20/24. Then, you multiply 3/8 into 3 and you should get 9/24. Now the last part is easy, you just subtract 20/24 and 9/24 and you should get 11/24 as your answer. It cannot be simplified. Hope it helped.
7 0
3 years ago
Read 2 more answers
5. A family spends T 600.00 a day for food which is 40% of the
BabaBlast [244]

Answer:

<h3>15%</h3>

Step-by-step explanation:

<h3>First , We will solve their daily Income </h3>

• Income = spends / rate

• Income = 600 / 40%

• Income = 600 / 0 .40%

• Income = 1500

Thus , Their daily Income is 1500 . Now ,We will solve for the rate of the Allowance .

• Rate = spent / Income

• Rate = 225 / 1500

• Rate = 0.15

• Rate = 15%

Therefore, the percent of the family's daily Income of the Allowance of their children's is 15%

<h3>Hope this helps you XD ✌️</h3><h2>Carry on learning !! </h2>

4 0
2 years ago
Segment AB is shown on the graph. Which shows how to find the x-coordinate of the point that will divide segment AB into a 2:3 r
GrogVix [38]

Answer:

x=\dfrac{2}{5}\times (2+3)-3

Step-by-step explanation:

The given ratio is 2:3.

x₁ = -3, x₂ = 2

We need to find the x-coordinate of the point that will divide segment AB into a 2:3 ratio. The formula is as follows :

x=\dfrac{a}{a+b}(x_2-x_1)+x_1

Put all the values,

x=\dfrac{2}{2+3}(2-(-3))+(-3)\\\\=\dfrac{2}{5}\times (2+3)-3

Hence, the correct option is (d).

5 0
2 years ago
Read 2 more answers
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