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3 years ago

Is this figure defined by points E, F, G, and H a rectangle? Justify your answer.

Mathematics

1 answer:

Stels [109]3 years ago

8 0

Answer: Second option.

Step-by-step explanation:

By definition, a Quadrilateral is a flat shape that has four straight sides.

A Rectangle is a Quadrilateral and has the following properties:

1. Its Opposite sides have the same length.

2. All its angles have equal measure (They are congruent).

3. Each one of those angles measure 90 degrees (An angle with this measure is also known as "Right angle").

4. Its opposite sides are parallel.

5. Its opposite sides have equal lenght.

In this case you can observe that the figure defined by the points E, F, G, and H has four sides, four right angles and its opposite sides are parallel and have equal length.

Therefore, based on the above, you can conclude that it is a Rectangle.

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A baker buys 19 apples of two different varieties to make pies. The total cost of the apples is $5.10. Granny Smith apples cost

Natasha2012 [34]

The baker bought 7 gala apples, and 12 granny smiths apples

Solution:

Let "x" be the number of gala apples bought

Let "y" be the number of granny smith apples bought

Cost of 1 gala apple = $ 0.30

Cost of 1 granny smith apple = $ 0.25

A baker buys 19 apples of two different varieties to make pies

Therefore,

number of gala apples bought + number of granny smith apples bought = 19

x + y = 19 --------- eqn 1

The total cost of the apples is $5.10

Therefore, we can frame a equation as:

number of gala apples bought x Cost of 1 gala apple + number of granny smith apples bought x Cost of 1 granny smith apple = 5.10

$x \times 0.30 + y \times 0.25 = 5.10$

0.3x + 0.25y = 5.1 -------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 19 - y ---------- eqn 3

Substitute eqn 3 in eqn 2

0.3(19 - y) + 0.25y = 5.1

5.7 - 0.3y + 0.25y = 5.1

5.7 - 0.05y = 5.1

0.05y = 5.7 - 5.1

0.05y = 0.6

y = 12

Substitute y = 12 in eqn 3

x = 19 - 12

x = 7

Thus the baker bought 7 gala apples, and 12 granny smiths apples

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3 years ago

pin Co. has $52,000 in its Cash account, $20,000 in its Inventory account, and $12,000 in its Notes Payable (short-term) account

KatRina [158]

Answer:

60000

Step-by-step explanation:

Assets - liabilities = share holder equity

(52,000+20,000)−12,000=60000

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Answer:

I hope you got it and it helped you

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