Answer:


Step-by-step explanation:
<u>Errors in Algebraic Operations
</u>
It's usual that students make mistakes when misunderstanding the application of algebra's basic rules. Here we have two of them
- When we change the signs of all the terms of a polynomial, the expression must be preceded by a negative sign
- When multiplying negative and positive quantities, if the number of negatives is odd, the result is negative. If the number of negatives is even, the result is positive.
- Not to confuse product of fractions with the sum of fractions. Rules are quite different
The first expression is

Let's arrange into format:

We can clearly see in all of the factors in the expression the signs were changed correctly, but the result should have been preceeded with a negative sign, because it makes 3 (odd number) negatives, resulting in a negative expression. The correct form is

Now for the second expression

Let's arrange into format

It's a clear mistake because it was asssumed a product of fractions instead of a SUM of fractions. If the result was correct, then the expression should have been


<u>Before </u><u>answering </u><u>the </u><u>given </u><u>question</u><u>, </u><u>you </u><u>should </u><u>know </u><u>the </u><u>difference </u><u>between </u><u>polygon </u><u>and </u><u>regular </u><u>polygon</u><u>. </u>
- Polygon :- It is closed figure constitute of straight line having different measurements and also having varies angles.
- Regular polygon :- It is also a closed figure constitute of straight lines which having equal measuresment and all the angles of the given polygon are equal .
<u>There </u><u>are </u><u>different </u><u>types </u><u>of </u><u>polygon </u><u>based </u><u>on </u><u>the </u><u>sides </u><u>:</u><u>-</u>
- A polygon having 3 sided called triangle ,having 4 sides called quadrilateral ,having 5 sides pentagon and so on.
<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u></h3>
I have thought to make a 4 side polygon that is quadrilateral.
<u>Steps </u><u>of </u><u>construction </u><u>:</u><u>-</u><u> </u>
- Step - 1 :- Draw a 5 cm line AB horizontally
- Step - 2 :- Then , From a point B, Draw a Vertical line of 5 cm and named it BC
- Step - 3 :- Then, From a point C, Draw a horizontal line of 5 cm and named it CD
- Step - 4 :- Now, join the line AD
- Step - 5 :- Measure all the angles form by the 4 sides of the quadrilateral.
<u>Result </u><u>:</u><u>-</u><u> </u> All the angles are equal that is 90° each.
<u>Conclusion </u><u>:</u><u>-</u><u> </u> The above figure is square as it is having equal sides and angles.
<h3><u>Now</u><u>, </u><u>we </u><u>have </u><u>to </u><u>find </u><u>the </u><u>sum </u><u>of </u><u>the</u><u> </u><u>angles</u><u> </u><u>of </u><u>the </u><u>polygon </u><u>:</u><u>-</u></h3>
<u>Here</u><u>, </u><u> </u>
- All angles are equal in measure 90°
<u>Therefore</u><u>, </u>
The sum of the angles of the given polygon




Hence, The sum of the angles of the above polygon is 360° .
Answer:
adding both equations
4x+9y=5
-4x+7y=11
+ + =+
________
0 +16y=16
y=1
putting the value of y in first eqn
4x+9×1=5
4x=5-9
4x=-4
x=-1
so the x is -1 and y is 1
Answer:
18x2 is 36 but you have to minus it so the answer is 28.
Answer:
The first fraction at the right of 1 is
or 
Step-by-step explanation:
Given
Marks of 6ths on a number line
Fraction 5/6 just before 1
Required
What fraction is at the right 1
To get the first fraction at the right of 1, we need to get the difference between each fraction;
This is calculated as follows;

Take LCM


This implies that the difference between each mark is
.
To get the first mark at the right of 1;
We simply add the difference to 1;
This implies that;

Take LCM


Convert to mixed fraction

Hence, the first fraction at the right of 1 is
or 