This Venn diagram shows the relationship of the subsets of the real number system.
Which of the following sets would belong to the whole numbers?

Answer:

1 : Hypotenuse leg (HL)

2: Angle side angle (ASA)

3: Side angle side (SAS)

Step-by-step explanation:

Given

See attachment for triangles

Required

Determine the congruence postulate

Figure (1):

From the attachment;

[tex]AC = BD[/tex] --- The hypotenuse

[tex]CB = CB[/tex] --- One other leg

Since the hypotenuse and one other leg of both triangles are congruent, then the postulate is: HL

Figure (2):

From the attachment, we have:

[tex]150^\circ = 150^\circ[/tex] --- Angle

[tex]15^\circ = 15^\circ[/tex] ---- Angle

The horizontal line that divides both triangles show that they have a congruent side.

Hence, the postulate is: ASA

Figure (3):

From the attachment, we have:

A pair of single marks (Side)

A pair of double marks (Side)

A pair of equal angles

Hence, the postulate is: SAS

Answer:

b= = - 7/4 or -1.75

Step-by-step explanation:

14b +21 -2b=0

12b +21=0

12b= -21

b= -21/12

b= - 7/4 or -1.75

Answer:

i dont know what you neccesarily want but here are two answers b=-7/4 or -1 3/4 other answer is 12b+21

Step-by-step explanation:

first, you have to set this question equal to 0.

7(2b+3)-2b=0

now you have to distribute the 7 to everything inside the parentheses.

14b+21-2b=0

combine like terms

12b+21=0

you can stop here and take this answer if this is the one you want

now subtract each side by 21

12b=-21

divide each side by 12

b=-21/12

simplify

b=-7/4

hope this helps! have a nice day :)

Answer:

9 inches on the map represents 396 miles.

Step-by-step explanation:

Here let's convert 44 miles to inches.

44 miles is 2787840 inches.

So according to the map, 1 inch = 2787840 inches.

We need to multiply both of these values by 9 to find out how many miles 9 inches represents.

1 inch = 2787840 inches

1 * 9 inches = 2787840 * 9 inches

9 inches = 25090560 inches.

Then convert back to miles.

25090560 inches = 396 miles.

That means, 9 inches on the map represents 396 miles.

Answer:

x = 1

Step-by-step explanation:

Given the matrix;

[tex]-2\left[\begin{array}{ccc}x&-1\\3&5\end{array}\right] + \left[\begin{array}{ccc}3&8\\-1&6\end{array}\right] = \left[\begin{array}{ccc}x&10\\-7&-4\end{array}\right][/tex]

Converting to equations

From the first row of each matrices

-2x + 3 = x

Collect the like terms

-2x - x = -3

-3x = -3

x = -3/-3

x = 1

Hence the value of x is 1

Answer: 24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

For the least common denominator, we have to find the smallest number that all fo them multiply to.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26

3, 6, 9, 12, 15, 18, 21, 24, 27, 30

8, 16, 24, 32

i think we can see something

24 is the most common number between them all, so the fractions will be

12/24 (1/2), 16/24 (2/3), and 9/24 (3/8)

Answer:

[tex]3d^2+ 7d- 7[/tex]

Step-by-step explanation:

Given

[tex]P_1 = 5d^2 + 4d - 3[/tex]

[tex]P_2 = 2d^2 - 3d + 4[/tex]

Required

P1 less P2

This means that we subtract P2 from P1.

So, we have:

[tex]P_1 - P_2 = 5d^2 + 4d - 3 - (2d^2 - 3d + 4)[/tex]

Remove bracket

[tex]P_1 - P_2 = 5d^2 + 4d - 3 - 2d^2 + 3d - 4[/tex]

Collect like terms

[tex]P_1 - P_2 = 5d^2 - 2d^2+ 4d + 3d- 3 - 4[/tex]

[tex]P_1 - P_2 = 3d^2+ 7d- 7[/tex]

The difference is: [tex]3d^2+ 7d- 7[/tex]

Answer:

y = 500x + 5000

Step-by-step explanation:

Answer:

[tex]12^-^2[/tex]

Step-by-step explanation:

I hope this helps.

Answer:

no one of them has to be 90 degrees

Step-by-step explanation:

Answer:

no it doesnt

Step-by-step explanation:

Answer: It’s 5 if it’s the two legs

Step-by-step explanation:

Use the Pythagorean Theorem

Answer:

{a,b,c,d,f,3,4,5,7}

Step-by-step explanation:

If X={a,b,c,3,4,5}

Y={b,d,f,3,5,7}

THEREFORE {XUY}= {a,b,c,d,f,3,4,5,7}

XUY represents the union of sets X and Yas {a, b, c, d, f, 3, 4, 5, 7}.

A set is defined as a group of objects in mathematics. Set names and symbols begin with a capital letter. According to set theory, a set's constituent parts can be included in anything.

The sets are given in the question, as follows:

X = {a,b,c,3,4,5}

Y = {b,d,f,3,5,7}

We have to determine the members of the set XUY, using set braces.

As per the question, the required solution would be as:

XUY = {a, b, c, d, f, 3, 4, 5, 7}

XUY represents the union of sets X and Y, which contains all elements that are in set X or set Y, or in both. Since none of the elements in set X or set Y are repeated, all of the elements in set X and set Y are included in the union without duplication.

Learn more about set theory here:

brainly.com/question/23454979

#SPJ2

Answer:

the answer is 12 inches long

Answer:

r = 7.33 units

Step-by-step explanation:

Given that,

A cylinder has a radius of r units, and that the height of the cylinder is also r units.

The lateral area of the cylinder is 338 square units.

We need to find the value of r.

The formula for the lateral area of the cylinder is given by :

[tex]A=2\pi rh[/tex]

Put all the values,

[tex]2\pi r^2=338\\\\r=\sqrt{\dfrac{338}{2\pi}} \\\\r=7.33\ unit[/tex]

So, the value of r is equal to 7.33 units.

Answer:

607 students

Step-by-step explanation:

To solve this question means we have to use Pigenhole principle which states that if y number of items are put into z number of containers, with y > z, then it means that that at least one container must definitely contain more than one item.

Now, let's find the number of boxes and objects:

If possible scores are from 0 to 100 with both inclusive it means number of possible scores = 101.

Now, If there was only one professor grading the students, in order to ensure that that there are two students with the same professor who earned the same final examination score,

The number of students would have to be = 101 + 1 = 102 students

Meanwhile, for each student, since there are 6 professors, the possible combination for a score will be = 6 possible combinations.

Therefore, number of students that will guarantee that there are two students with the same professor who earned the same final examination score must be a minimum of: (6 × 101) + 1 = 607

Answer:

1/2

Step-by-step explanation:

The slope can be found by looking at the Rise over run or in other words how ever much it moves up over how much it move right.

Answer:

10 inches

Step-by-step explanation:

r=(3V

4π)⅓=(3·4186

4·π)⅓≈9.99778in

Answer:

h(x)=4

Step-by-step explanation:

h(x)=−2x+10

h(x)=−2(3)+10

=-6+10

=4

Answer:

TRUE

Step-by-step explanation:

Answer:

In one gallon, there are four quarts. 1 quart is 0.5 pints.  1 cup is 0.25 quartz

Step-by-Step:

Use those measurements to convert gallons into cups and find your expression.

Answer:

3z

Step-by-step explanation:

When you write a number followed by a variable with no operation in between them, it means multiplication.

3 multiplied by z is 3 * z, but you can write it without the multiplication sign simply as 3z.

Step-by-step explanation:

Multiply any number with their denominator

0/1×20=0/20

1/1×20= 20/20

Now,

3/20,5/20,6/20,15/20,18/20.....

Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

Answer:

7/40 So sorry if I'm wrong!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

D

[tex]angle \: xyz = \frac{1}{2} arc \: xz[/tex]

Answer: 35%

Step-by-step explanation:

20 bars

7 unshaded - not installed

7/20 = 0.35 = 35%

Answer:

200(1.10^1)

Step-by-step explanation:

Answer:

it is 34 that's the answer.

Step-by-step explanation:

Answer:

120 feet squared.

Step-by-step explanation:

If this is incorrect I apologize but I believe this is the correct answer.

Answer:

Huh? Then Thursday will be 25, Friday 15 & Saturday 5 ~~~