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2 years ago

What is the spatial relationship between a rectangle and a parallelogram?

Mathematics

2 answers:

Bezzdna [24]2 years ago

5 0

Answer:

a rectangle is a parallelogram as the parallogram is made up of 2 triangles and a smaller rectangle. When the rectangle is divided into 2 triangles and another small rectangle, and is then being put together with the triangles on each side, it will be a parallelogram.

Step-by-step explanation:

forsale [732]2 years ago

4 0

Explanation:

A rectangle has the following properties:

Has 4 sides
Has 4 right angles
Opposite sides lengths are equal.
Diagonals of rectangle are equal.
Opposite sides are parallel.

A parallelogram has the following properties:

Has 4 sides
Opposite angles are equal.
Opposite sides are equal.
Opposite sides are parallel.

The similiarities between a rectangle and a parallelgram:

Has 4 sides
Opposite sides are parallel.
Opposite sides are equal.
Opposite sides lengths are equal.

The difference between a rectangle and a parallelogram:

The main difference between a rectangle and a parallelogram is that a rectangle has four right angles while a parallelogram does not have four right angles.

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Find WV A 7 B 23 C 84 D 145

user100 [1]

Comparing the two triangle above, we can state:

a) The side WZ = side YZ
b) The side VZ = XZ
c) Angle WZV = Angle XZY (Vertical Angles)
d) XY is parallel to WV
e) So, Angle XYZ = Angle VWZ

Thus, we can conclude that the two triangles are exactly equal in measure. All the sides and angles of the triangle have the same measure.

So, Side WV = Side XY

12x - 61 = 3x + 2
12x - 3x = 2 + 61
9x = 63
x = 7

So, length of WV will be = 12(7) - 61 = 23

Thus, the answer to this question is 23

8 0

3 years ago

As part of a promotion for a new type of cracker, free trial samples are offered to shoppers in a local supermarket. The probabi

nordsb [41]

Answer: N(20, 4) distribution.

Step-by-step explanation:

Normal approximation to Binomial :

The normal approximation is used for binomial distribution having parameters n and p as

$\mu=np\\\\ \sigma=\sqrt{np(1-p)}$

if x is the random variable then x has $N(\mu, \sigma)$ .

Given : As part of a promotion for a new type of cracker, free trial samples are offered to shoppers in a local supermarket.

The probability that a shopper will buy a packet of crackers after tasting the free sample : p=0.20.

Different shoppers can be regarded as independent trials.

if X is the number among the next 100 shoppers who buy a packet of crackers after tasting a free sample.

Then, Mean and standard deviation for x will be :

$\mu=(100)(0.20)=20\\\\ \sigma=\sqrt{20(1-0.20)}=\sqrt{16}=4$

i.e. X has approximately an N(20, 4) distribution.

7 0

3 years ago

Determine if the statement is always, sometimes or never true.

mojhsa [17]

Answer:

I think its c

Step-by-step explanation:

I'm pretty sure you need decimals to make it an irrational number

3 0

3 years ago

Simplify the expression by using a double-angle formula. 2 sin 31°cos 31°

qwelly [4]

The double angle formula for the sine is

$\sin(2x) = 2\sin(x)\cos(x)$

The right hand side is exactly your expression, where $x = 31^\circ$

So, rewriting the expression from right to left, we have

$2\sin(31^\circ)\cos(31^\circ) = \sin(2\cdot 31^\circ) = \sin(61^\circ)$

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3 years ago

To make a sports drink for the football team, Jaylen filled 9/10 of a large cooler with water. Then, he filled the remaining spa

avanturin [10]

He made 3.75 gallons. There was 1/10 remaining, meaning each tenth was 6 cups. The entire thing is 10 tenths so you do 6(10) to get 60 cups. After converting to gallons by doing 60÷26, you get 3.75.

7 0

3 years ago

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