1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mice21 [21]
3 years ago
13

Let U = {3, 6, 9, 12, 15, 18, 21, 24} and A = {9, 12, 15, 21}. A'

Mathematics
1 answer:
miskamm [114]3 years ago
4 0

Answer:

A¹ = { 3 , 6, 18 , 24}

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u>Universal set </u>

If all the sets under consideration are the subsets of a fixed set 'U' then the set 'U' is called the Universal set.

Given  U = {3, 6, 9, 12, 15, 18, 21, 24}

Given A = {9, 12, 15, 21}

<u><em>Compliment Of A</em></u>

The Complement of a set A is all the objects that do not belong to set A

The Compliment of A is denoted by A¹

A¹ = U - A

     = {3, 6, 9, 12, 15, 18, 21, 24} - {9, 12, 15, 21}

A¹ = { 3 , 6, 18 , 24}

You might be interested in
When 4 times the number x is added to 12, the result is 8. What number results when 2 times x is added to 7 ?
Bumek [7]
<h2><u>Given </u><u>:</u><u>-</u></h2>

  • <u>\bf4 \: times \: a \: number \: x \: is \: added \: to \: 12 \\ \bf the \: result \: is \: 8</u> ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎
  • \bf⟹ \: 4x + 12 = 8

\large\bf{\underline{We\:have\:to\:find:-}}

  • \bf\:The \: number \: results \: when \: 2 \: times \: x  \\ \bf is \: added  \: to \: 7
  • \bf ⟹\: 2x + 7 =  ?

\large\bf{\underline{To \:find\:the\:value\:of\:x}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹4x + 12 = 8

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹4x = 8 - 12

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹4x =  - 4

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹x =  \frac{ - 4}{4}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹x =  - 1

\large\bf{\underline{Putting\:the\:value\:of\:x\:in\:2x+7}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎=2x + 7

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎=2( - 1) + 7

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= - 2 + 7

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= 5

__________________________________________

\large\bf{\underline{Hence}}

\huge{2x + 7}

\huge{=5}

3 0
3 years ago
My final balance after 48 months was $896.00. if i bring back originally put$800.00 into the bank, what was the interest rate?
fomenos
The interest rate is $96.00.
3 0
3 years ago
ABC is a right triangle with AB = AC. Bisector of ∠A meets BC at D. prove that ∆ ABC ≅ ∆DEF
Olegator [25]

Answer:

Triangles ABC and DEF have the following characteristics :B and E are right angles A=D, BC=EF which congruence theorem can be used to prove ABC =DEF

5 0
3 years ago
What are the coordinates of the point LaTeX: \frac{3}{4}\:3 4of the way from A to B? coordinate plane with line segment AB. Poin
egoroff_w [7]

Answer: \left(\dfrac{-7}{2},\dfrac{5}{4}\right).

Step-by-step explanation:

It is given that Point A is at (-5, -4) and point B at (-3, 3).

We need to find the coordinates of the point which is 3/4 of the way from A to B.

Let the required point be P.

AP:AB=3:4

AP:PB=AP:(AB-AP)=3:(4-1)=3:1

It means, point P divides segment AB in 3:1.

Section formula:  If a point divides a line segment in m:n, then

\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Using section formula, we get

P=\left(\dfrac{3(-3)+1(-5)}{3+1},\dfrac{3(3)+1(-4)}{3+1}\right)

P=\left(\dfrac{-9-5}{4},\dfrac{9-4}{4}\right)

P=\left(\dfrac{-14}{4},\dfrac{5}{4}\right)

P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)

Therefore, the required point is \left(\dfrac{-7}{2},\dfrac{5}{4}\right).

6 0
3 years ago
The ratio of pencils to pens in the drawer is 8:14. If there are actually twice as many pencils as in the ratio, how many pencil
dusya [7]

Yo sup??

let the number of pencils and pens be 8x and 14x

x=2

therefore the number of pens and pencils are

16 pencils and 28 pens

Hope this helps

6 0
3 years ago
Other questions:
  • Jason bought a jacket on sale for 50% off the original price and another 25% of the discount price. If the dragon originally cos
    7·2 answers
  • Betsy wants to paint the walls of her bedroom. Her bedroom measures 8 ft. by 10 ft. and has 8 ft. ceilings. Not counting doors a
    15·2 answers
  • Which inequality is correct?<br> 1.2 &gt;1 and 1/5<br> 1.2 &lt;1 and 1/5<br> 1.2 = 1 and 1/5
    7·1 answer
  • A paper describes a study in which researchers observed wait times in coffee shops in Boston. Both wait time and gender of the c
    9·1 answer
  • Bonita deposited $1300 into a bank account that earned 5.75% simple interest each year. She earned $299 in interest before closi
    9·1 answer
  • Steve cycled 35 miles
    15·2 answers
  • When added, angles B, C, and D should all equal ___ degrees.
    14·1 answer
  • Pls help I’ll brainlest ASAP
    7·2 answers
  • A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
    15·1 answer
  • Please help! I need help on 3 and 4. Will mark Brainiest for best answer!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!