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3 years ago

Which of the following is a counter example for the hypothesis all parallelogram are rectangle

Mathematics

2 answers:

igor_vitrenko [27]3 years ago

8 0

Answer:

A non-square rhombus is not a rectangle.

Step-by-step explanation:

A parallelogram is a quadrilateral (four-sided figure) that has two pairs of parallel sides.

A rectangle is a parallelogram with four right angles.

If a parallelogram does not have four right angles, then it is not a rectangle. However it is still a parallelogram, as it has two pairs of parallel sides.

Pie3 years ago

4 0

An example of it being incorrect:
parallelogram means <span>a four-sided plane rectilinear figure with opposite sides parallel.

an example of it being correct: a rectangle can be a square</span>

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Which point satisfies the system of equations y= 3x - 2 and y=-2x + 3?

monitta

Answer:

The points which satisfy the given lines is ( 1 , 1 )

Step-by-step explanation:

Given as :

The equation of lines is

y = 3 x - 2 ........ 1 And

y = - 2 x + 3 ........ 2

From equation given

3 x - 2 = - 2 x + 3

Or , 3 x + 2 x = 3 +2

Or, 5 x = 5

So , x = $\frac{5}{5}$ = 1

Put the value of x in eq 1

So, y = 3 ( 1 ) - 2

Or, y = 3 - 2 = 1

∴, the points ( x , y ) = ( 1 , 1 )

Hence The points which satisfy the given lines is ( 1 , 1 ) Answer

5 0

3 years ago

What is the volume of a sphere with a radius of 5.9 in, rounded to the nearest tenth of a cubic inch?

Lynna [10]

$\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=5.9 \end{cases}\implies V=\cfrac{4\pi (5.9)^3}{3}\implies V\approx 860.3~in^3$

7 0

1 year ago

Jonathan found a strange piece of metal. He took it to a science lab and found that the metal is 37.5% gold and 62.5% nickel. Wh

ollegr [7]

Answer:

This ratio is 0.6.

Step-by-step explanation:

This ratio is:

gold 37.5%

-------- = ----------- = -0.6

nickel 62.5%

5 0

3 years ago

If y=tanx-cotx, then dy/dx =

Vsevolod [243]

Answer:

dy/dx=sec^2^(x)-(-csc^2(x)

=sec^2(x)+ csc^2(x)

so solution is E

3 0

3 years ago

You buy 1.75 pounds of apples and 2.05 pounds of oranges. Apples and oranges sell for the same price per pound. The total cost,

dlinn [17]

Answer:

$1.75c+2.05c=4.18\\\\Per\ pound\ cost=c=\$1.1$

Step-by-step explanation:

$Cost\ of\ per\ pound\ apple=Cost\ of\ per\ pound\ oranger=c\\\\$

Cost of Apples:

$Amount\ of\ apples=1.75\ pounds\\\\Cost\ of\ apples=Amount\times per\ pound\ cost\\\\Cost\ of\ apples=1.75\times c\\\\Cost\ of\ apples=1.75c$

Cost of oranges:

$Amount\ of\ oranges=2.05\ pounds\\\\Cost\ of\ oranges=Amount\times per\ pound\ cost\\\\Cost\ of\ oranges=2.05\times c\\\\Cost\ of\ oranges=2.05c$

Total cost:

$Total\ cost\ of\ fruits=cost\ of\ apple+cost\ of\ oranges\\\\Total\ cost\ of\ fruits=1.75c+2.05c\\\\After\ coupon\ cost=\$ 3.43\\\\ Original\ cost=After\ coupon\ cost+coupon\ amount\\\\ Original\ cost=3.43+0.75=4.18$

$1.75c+2.05c=4.18\\\\3.8c=4.18\\\\c=\frac{4.18}{3.8}\\\\c=1.1\\\\Per\ pound\ cost\ of\ fruits=\$1.1$

4 0

3 years ago