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lorasvet [3.4K]
2 years ago
13

Write the converse of the following statement. Then determine its validity.

Mathematics
1 answer:
madam [21]2 years ago
5 0

The converse and the validity of the statement is:

  • If a parallelogram is a rectangle, then the diagonals are congruent.
  • TRUE.

The statement is given as:

If the diagonals of a parallelogram are congruent, then is the parallelogram is a rectangle

Considering the following statement

If a then b

Its converse is:

If b then a

So, the converse of the given statement is:

If a parallelogram is a rectangle, then the diagonals are congruent.

The diagonals of a rectangle are true.

Hence, the validity is true.

So, the true statement is (b)

Read more about converse statements at:

brainly.com/question/4421013

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2 A cement company earns a profit of ₹ 9 per bag of white cement sold and a loss of ₹ 5 per bag of grey cement sold. (i) The com
erik [133]

Answer:

i) Total Profit =  ₹ 33,000

ii) Number of White Cement bags company has to sell = 3000

Step-by-step explanation:

Let

Total number of white cement bags = x

Total number of grey cement bags = y

Profit for White Cement =   ₹ 9 / bag

Profit for x number of white cement bags = 9x

As "LOSS" can also be written as "- PROFIT"

Profit for Grey Cement =  -₹ 5 / bag

Profit for y number of Grey cement bags =  -5y

Total Profit = 9x - 5y

(If value of Total Profit is negative, it is a Loss)

<h3>Part (i)</h3>

x = 7000

y = 6000

Total Profit = 9x - 5y

Total Profit = 9(7000) - 5(6000)

Total Profit =  ₹ 33,000

<h3>Part (ii)</h3>

y = 5400

Total Profit = 0

Total Profit = 9x - 5y

0 = 9x - 5(5400)

9x = 5(5400)

x = 5(54000/9

x = 3000 bags

5 0
3 years ago
Please help and show work if possible. thank you!!
Elena-2011 [213]
10. Horizontal shift of 50, vertical shift of -20, horizontal shift of -50. Think of it on a plane, with right in the positive x-axis and up in the positive y-axis. The cans go right 50ft, then down 20ft, then left 50ft. In terms of the horizontal and vertical, they go 50ft in the positive horizontal axis, then 20ft in the negative vertical axis, then 50ft in the negative horizontal axis. Therefore, the cans have a horizontal shift of 50, then a vertical shift of -20, then a horizontal shift of -50.

11. Since the partition and the wall are parallel, the triangles are similar. This means that the ratio between the sides are the same for the small triangle and the big triangle. The small triangle (made by the partition) is 3m wide and 2m tall. Since the big triangle (made by the wall) is 4m tall, the sides of the big triangle are twice the size of the small triangle. Therefore, the big triangle is 6m wide. We cannot forget to subtract the 3m from the small triangle, since we only want to know how far the partition is from the wall, not how far the point is from the wall.
The wall is 3m away from the partition.
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3 years ago
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3 years ago
-9 2/3(-2 1/4a+b+8 1/4)<br><br> Solve please with work
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Answer:

4/x-1 -5/x+4/4/x-14/x-14/x-1 -5/x+2=3/x -5/x+2=3/x -5/x+2=3/xx-1 -5/x+2=3/x2=3/x

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the answer is

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