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BARSIC [14]
3 years ago
15

1^2 + 4^2 + 7^2 -... - (3n - 2)^2 = n(6n^2 - 3n - 1)/2

Mathematics
1 answer:
Natali [406]3 years ago
6 0

Answer:

1

2

+

4

2

+

7

2

−

.

.

.

−

(

3

−

2

)

2

=

(

6

2

−

3

−

1

)

/

2

Step-by-step explanation:

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Two consecutive angles of a parallelogram are supplementary. 4. Always true C Never true 5 Sometimes true D. Sometimes false Whi
REY [17]

Adjacent sides of a parallelogram are not congruent.

<h3>Quadrilateral</h3>

A quadrilateral is a polygon with four sides and and four angles. A parallelogram has opposite sides parallel and equal. Two consecutive angles of a parallelogram are supplementary. Opposite angles and diagonals are congruent. The diagonals bisect each other.

(2x + 7) + (3x - 2) = 180 (consecutive angles)

x = 35°

Find out more on Quadrilateral at: brainly.com/question/23935806

4 0
2 years ago
Mary and Gary had some stickers in the ratio 5:3. After Mary had given 1/3 of her stickers to Gary, the new ratio of the number
polet [3.4K]

The total number of stickers the 2 children had was 192 stickers.

Let x represent Mary initial stickers, y represent Gary initial stickers and z represent the total stickers.

x + y = z

  • x + y - z = 0     (1)

They shared in the ratio of 5:3, hence:

x = (5/8)z

  • 8x - 5z = 0      (2)

Mary gives 1/3 of her stickers to Gary to have 32 more stickers than her.

(1/3)x = (1/3)(5/8)z = (5/24)z

y + (1/3)x = (2/3)x + 32

  • y - (1/3)x = 32    (3)

Solving equation 1, 2 and 3 gives:

x = 120, y = 72, z = 192

The total number of stickers the 2 children had was 192 stickers.

Find out more on equation at: brainly.com/question/13763238

6 0
2 years ago
8% of _ Days is 4 days
N76 [4]

Answer:

50

Step-by-step explanation:

4 0
3 years ago
The length of a rectangle solid is 3.0 m the width is 0.6 meter, and the height is 0.4 meter. Find, to the nearest tenth, the nu
Ad libitum [116K]

Answer:

0.72\,\,m^3

Step-by-step explanation:

Given:

Length of a rectangle solid = 3 m

Width of a rectangle solid = 0.6 m

Height of a rectangle solid = 0.4 m

To find: Volume of the solid

Solution:

Volume of the solid = length × breadth × height

=3\times 0.6\times 0.4=0.72\,\,m^3

So, the number of cubic meters in the volume of the solid is 0.72\,\,m^3

3 0
4 years ago
6y - 9y - 4 = -2y - 2 Solve for y<br><br> Please give step-by-step answer and explaination.
Ivan
Step 1. Subtract the 6y-9y which will give you -3y-4
Step 2. Add 4 to both sides, which will give you -4y = -2y +2
Step 3. Add 2y to the other side, which will
Give you -2y = 2
Step 4. Divide both sides by -2, which will give you -1
8 0
3 years ago
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