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3 years ago

According to the Venn diagram what type of parallelogram is both a rectangle and a rhombus

Mathematics

2 answers:

julia-pushkina [17]3 years ago

7 0

According to the properties of a parallelogram.

Its opposite angles are equal and its opposite sides are also equal.

Now for a parallelogram to be a rectangle,

All its angles must be 90°.

But we also want the parallelogram to be a rhombus, which means all its sides must be equal.

Now any rectangle whose all sides are equal becomes a square.

And so parallelogram which is both a rectangle and a rhombus is a SQUARE.

Brut [27]3 years ago

4 0

A square can be both a rectangle and a rhombus

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Tatiana [17]

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Step-by-step explanation:

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3 years ago

Tyler selects one card from the three(4,5, and a King), and rolls a number cube. What is the probability that she selects the 5,

Svet_ta [14]

$\frac{1}{3}$ Answer:

2/9

Step-by-step explanation:

given that Tyler selects one card from the three(4,5, and a King), and rolls a number cube.

We find that A the event of selecting one card and B getting a number on rolling a number cube are independent events.

No of cards = 3

Prob of selecting 5 from 3 cards = $P(1,2,3, or 4) = \frac{2}{3}$

When rolling a number cube (assuming fair) there is equally likely for all numbers to appear from 1 to 6

Prob of getting 5 = $\frac{1}{6}$

Prob of getting less than 5 =

Since these two events are independent,

the probability that she selects the 5, and rolls a number less than 5

= Product of probabilities

= $\frac{1}{3}$ * $\frac{2}{3}$

= $\frac{2}{9}$

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3 years ago

Click here to see a proof of the converse of the parallelogram angle theorem. as you read through the proof, look for how to com

Gwar [14]

Steps 4 and 5 are being used to get the equation in step 6.

Steps 5 and 7 are being used to get the equation in step 8.

Steps 8 and 6 are being used to get the equation in step 9.

In step 14, "similar argument" means to draw segment BD and follow the same logic in steps 3-12.

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3 years ago

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iragen [17]

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4 years ago

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Write an equation of the line that passes through the given points.<br> (-1,7) and (4, -8)

djverab [1.8K]

Answer:

y=-3x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-8-7)/(4-(-1))

m=-15/(4+1)

m=-15/5

m=-3

y-y1=m(x-x1)

y-7=-3(x-(-1))

y-7=-3(x+1)

y=-3x-3+7

y=-3x+4

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3 years ago