All categories

4 years ago

Which diagram shows a set and subset that is correct?

Mathematics

1 answer:

sesenic [268]4 years ago

8 0

Answer:

Option B is correct, i.e. Quadrilateral Trapezoid.

Step-by-step explanation:

A "set" is group of all elements which have some special relationship among them like set of Natural numbers (N), set of Real Numbers (R), set of Integers (Z) etc.

A "subset" is group of some elements which are part of some another larger set like Natural numbers (N) is subset of Real numbers (R), i.e. N ⊆ R.

In other words, "SET" behaves like a Big Family, and "SUBSET" behaves like a group of family members which are part of its Big Family.

Checking the given options:-

1. Triangle and Square are different.

2. Rhombus and Rectangle are different.

3. Parallelogram and Triangle are different.

But option B, i.e. Trapezoid is a family member of Quadrilateral Family.

Hence, option B is correct, i.e. Quadrilateral Trapezoid.

You might be interested in

Please Help Will give 20 points

wariber [46]

600 +200 + 100 = 900

2000 - 900 = 1100

1100/6 = 183.33 so he can buy 183 games

8 0

4 years ago

At an ice cream store, $20 is enough to buy 5 cones and 5 sundaes. or, $20 can buy 4 sundaes, 6 cones and there would be 80 cent

satela [25.4K]

There will not be 80 cents left over

3 0

4 years ago

the sum of two numbers is 44. the smaller number is five-sixths of the larger number. what are the numbers?

Sindrei [870]

X+y=44
x=5/6y

x+y=44
5/6y+y=44
11/6y=44
11y=264
y=24
x=5/6y=(5/6)*24=20
Answers: numbers are 20, 24

7 0

3 years ago

Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the poi

Dennis_Churaev [7]

Answer:

$y=\frac{5}{7}x+\frac{135}{7}$

Step-by-step explanation:

You only need two points on a line to find the equation for that line.

We are going to use 2 points that cross that line or at least come close to. You don't have to use the green points... just any point on the line will work. You might have to approximate a little.

I see ~(67.5,67.5) and ~(64,65).

Now once you have your points, we need to find the slope.

You may use $\frac{y_2-y_1}{x_2-x_1}$ where $(x_1,y_1) \text{ and } (x_2,y_2)$ are points on the line.

Or you can line up the points vertically and subtract then put 2nd difference over 1st difference.

Like this:

( 64 , 65 )

-( 67.5, 67.5 )

--------------------

-3.5 -2.5

So the slope is -2.5/-3.5=2.5/3.5=25/35=5/7.

Now use point-slope form to find the equation:

$y-y_1=m(x-x_1)$ where $m$ is the slope and $(x_1,y_1)$ is a point on the line.

$y-65=\frac{5}{7}(x-64)$

Distribute:

$y-65=\frac{5}{7}x-\frac{5}{7}\cdot 64$

Simplify:

$y-65=\frac{5}{7}x-\frac{320}{7}$

Add 65 on both sides:

$y=\frac{5}{7}x-\frac{320}{7}+65$

Simplify:

$y=\frac{5}{7}x+\frac{135}{7}$

6 0

3 years ago

1.) What is the measure of ∠K, to the nearest degree?

lora16 [44]

We know that
the law of sines establish
a/sin A=b/sin B

problem N 1

50/sin K=53/sin 76-------> 50*sin 76=53*sin K-----> sin K=50*sin 76/53
sin K=0.9154
K=arc sin (0.9154)--------> K=66.25°------> K=66°

the answer problem N 1 is the option
c.) 66°

Problem N 2

30/sin R=35/sin 69------> sin R=30*sin 69/35-----> sin R=0.8002
R=arc sin(0.8002)-------> R=53.15°-----> R=53°

the answer problem N 2 is the option
b.) 53°

5 0

4 years ago

Read 2 more answers