Maths-
General
Easy
Question
Solve 3(5x + 1) = 2(x + 21). Write a reason for each step.
Hint:
using the additive property and subtraction property ,division property on both sides .solve for x.
The correct answer is: x = 3
Ans:- x = 3
Given ,3(5x + 1) = 2(x + 21).
By left distributive property 15x + 3 = 2x + 42
Subtract 2x from both sides by subtraction property of equality both sides remains equal.
15x - 2x + 3 = 2x + 42 - 2x
13x + 3 = 42
Subtract 3 from both sides by subtraction property of equality both sides remains equal.
13x + 3 - 3 = 42 - 3
13x = 39
Dividing 9
by division property of equality both sides remains equal.
![fraction numerator 13 x over denominator 13 end fraction equals 39 over 13](data:image/png;base64,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)
x = 3
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Maths-
ABCDE is a regular polygon. Find the length of each side.
![](data:image/png;base64,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)
ABCDE is a regular polygon. Find the length of each side.
![](data:image/png;base64,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)
Maths-General
Maths-
Srinu needs to advertise his company . he Considers several different brochures of different lengths and areas. He presents the data as ordered pairs (4,24) (5,35 )(8,24) (2,20) (9,27).
Represent it in an arrow diagram and explain whether it is a function or not .
Srinu needs to advertise his company . he Considers several different brochures of different lengths and areas. He presents the data as ordered pairs (4,24) (5,35 )(8,24) (2,20) (9,27).
Represent it in an arrow diagram and explain whether it is a function or not .
Maths-General
Maths-
Solve 3(x − 7) = 2(x − 3). Write a reason for each step.
Solve 3(x − 7) = 2(x − 3). Write a reason for each step.
Maths-General
Maths-
A polygon has 6 sides. It is equilateral and equiangular. It is a
A polygon has 6 sides. It is equilateral and equiangular. It is a
Maths-General
Maths-
What additional information is necessary to state that the given polygon is regular?
![](data:image/png;base64,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)
What additional information is necessary to state that the given polygon is regular?
![](data:image/png;base64,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)
Maths-General
Maths-
Solve 5(2x − 8) = x + 14. Write a reason for each step.
Solve 5(2x − 8) = x + 14. Write a reason for each step.
Maths-General
Maths-
The given polygon is a
![](data:image/png;base64,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)
The given polygon is a
![](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
Maths-
Is the given figure a polygon? Explain why or why not
![](data:image/png;base64,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)
Is the given figure a polygon? Explain why or why not
![](data:image/png;base64,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)
Maths-General
Maths-
In a figure, some segments intersect more than two segments. It is
In a figure, some segments intersect more than two segments. It is
Maths-General
Maths-
Solve x − 11 = 2x + 9. Write a reason for each step.
Solve x − 11 = 2x + 9. Write a reason for each step.
Maths-General
Maths-
Tell whether the figure is a polygon and whether it is convex or concave.
![](data:image/png;base64,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)
Tell whether the figure is a polygon and whether it is convex or concave.
![](data:image/png;base64,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)
Maths-General
Maths-
Is the given figure a polygon? Explain why or why not.
![](data:image/png;base64,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)
Is the given figure a polygon? Explain why or why not.
![](data:image/png;base64,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)
Maths-General
Maths-
The given polygon is
![](data:image/png;base64,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)
The given polygon is
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)
Maths-General
Maths-
Maths-General