whats the absolute value of 23

Answer:

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Step-by-step explanation:

9514 1404 393

Answer:

  143 in²

Step-by-step explanation:

The figure is dimensioned in such a way that it can be divided easily into three rectangular areas. The top rectangle is 10 in wide and 7 in high. The vertical rectangle below that is 4 in wide and 12 in high, and the square appendage on the right is 5 in square.

Then the total area is the sum of products of length and width:

  A = (10 in)(7 in) + (4 in)(12 in) + (5 in)(5 in) = (70 +48 +25) in²

  A = 143 in²

The area of the irregular figure is 143 in².

Answer:

Hello your question has some missing information below is the complete question

answer :

[tex]a_{n} = a_{n-2} + a_{n-2} + a_{n-1}[/tex]

Step-by-step explanation:

Red car and Blue car take up 2 spaces each

Green cars take up 1 space

lets determine the number of ways of filling up the parking spaces

i) First lets assume the last space is filled by Green car then there will be [tex]n^{th}[/tex] space occupied hence there will be ( n - 1 ) spaces left to be filled in [tex]a_{n-1}[/tex] ways

ii) lets assume the last space is filled by either a Red car or a Blue car then there will be [tex]n^{th} + ( n -1 )^{st}[/tex]  parking space occupied hence there will be

( n - 2 ) spaces left to be filled in [tex]a_{n-2}[/tex] ways

Hence A closed formula for [tex]a_{n}[/tex]

[tex]a_{n} = a_{n-2} + a_{n-2} + a_{n-1}[/tex]

where : a1 = 1 way ,  a2 = 3 ways

Answer:

The correct answer is m∠2 = 120°

Step-by-step explanation:

There is a triangle rule that states the outer angle of an angle in a triangle is equal to the sum of the remaining two angles in that triangle, which means that m∠2 = 52° + 68° = 120°. This can be proven correct because the sum of two of the angles in the triangle is 120°, which means the final angle is 60°. Since m∠2 is the outer angle of 60°, that means it will be 180° - 60° or 120°.

Answer:

m<2+= 60

Step-by-step explanation:

[tex]\bf{Hello!}[/tex]

Angle 3 and Angle 7 are supplementary is the wrong statement

Because, they are corresponding angles and they are equal.

Answer:

325

Step-by-step explanation:

.12x + 44 = .08x + 57

.04x = 13

x= 325

Answer:

x=43

Step-by-step explanation:

3x+17+x-9=180

4x+8=180

4x=180-8

4x=172

x=43

Answer:

6

Step-by-step explanation:

30 ÷ 5 = 6

Answer:

6

Step-by-step explanation:

it is 6

Answer:

(i) (-3/2, 3/2) and (1/2, - 3/2)

6x + 4y = - 3

(ii) Points are col linear

Step-by-step explanation:

Let the coordinates of the point(lower) be (a, b) and that of upper be (x, y).

Using mid point formula,

Mid point of diagonal(using the given points) is:

= ( (-2+1)/2 , (-1+1)/2) = (-½ , 0)

Using (a, b) and (x, y) :

= ( (a+x)/2 , (b+y)/2 ) = (-1/2, 0)

Which means, a+x= -1 & b + y = 0

Therefore, x = - 1 - a & b = - y

Using distance formula, diagonal = √(-2-1)² + (-1-1)² = √13

Knowing the relation in diagonal and side, side = diagonal/√2 = √13/√2 = √(13/2)

Again using distance formula, diagonal = √13

=> √(x - a)² + (y - b)² = √13

=> (-1-a -a)² + (-b - b)² = 13

=> a² + b² + a = 3 ... (1) [solved directly]

Length of side = √(13/2)

=> √(a-(-2))² + (b-(-1))² = √(13/2)

=> a² + b² + 4a + 2b = 3/2 ...(2)

On solving (1) and (2):

a = 1/2 or -3/2, but a lies in 4th quadrant so a > 0, thus, a = 1/2

b = -3/2 or 3/2, but b lies in 4th quadrant so b < 0, b = -3/2

Therefore,

x = - 1 - a = -1 - 1/2 = -3/2

y = - b = - (-3/2) = 3/2

Vertices are (x, y) = (-3/2, 3/2) and (a, b) = (1/2, -3/2)

Equation is just a relation in y and x, for a relation:

Subtract (1) from (2):

3a + 2b = -3/2 => 6a + 4b = - 3

By merely replacing a, b by x, y

6x + 4y = -3 is the required equation

(ii):

Ar. of ∆ = ½ | 1(3 - 5) + 2(5 - 2) + 4(2 - 3) |

Ar. of ∆ = ½ | -2 + 6 - 4 | = 0

As the area of the ∆ is 0, the given points don't form ∆, they are col linear.

Answer:

Casey will have 5852.25 in his bank account after 2 years.

Step-by-Step Explaination:

2%=0.02

0.02*5625=112.5

112.5+5625=5737.5

0.02*5737.5=114.75

114.75+5737.5=5852.25

Answer:

0 students have a cat and 92 students have a dog

The probability that a student is chosen randomly from the class has a cat or a dog is 15/20.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

The class has a cat and a dog = 9

Has a dog and does not have a cat = 2

Does not have a dog and has a cat = 4

Does not have dog and cat = 5

The total strength of the class is 20

The probability that a student is chosen randomly from the class has a cat or a dog =  Number of favorable outcomes / total number of outcomes

P(E) = 15 /20

Hence, The probability that a student is chosen randomly from the class has a cat or a dog is 15/20.

Learn more about probability :

https://brainly.com/question/795909

Answer:

$2 per round of potatoes

Step-by-step explanation:

$10/5 pounds of potatoes= $2

Answer:

x = 140

Step-by-step explanation:

Using the exterior angle rule ( an exterior angle of a triangle is equal to the opposite interior angles of a triangle )

x is the interior angle and the given angles ( 50 and 90 ) are the opposite interior angles

So

x = 50 + 90

50 + 90 = 140

x = 140

Note: there is a right angle ( indicated by the little square. A right angle has a measure of 90 degrees so that's where the 90 came from)

Answer:

red and blue are not a Selection!!!!!

Answer:

Step-by-step explanation:

d₃₄  = Value in the 3rd row and 4th column

      = 0

m₁₃ = Value in the 1st row and 3rd column

     = 2

k₂₁ = Value in the 2nd row and 1st column

     = 1

Answer:

A+B=180°(linear pair)

a+ 52°=180°

a=180°-52°

a=128° is your answer

Answer: (6, 3)

Step-by-step explanation:

Answer:

7. 56

8. 117

Step-by-step explanation:

7.

Add the lengths of the sides. Each square on the grid has side 2 units.

9 + 4 + 4 + 8 + 11 + 3 + 2 + 15 = 56

8.

Find the lengths of the bases and the height of the trapezoid. Each square on the grid is 2 units.

Area of trapezoid = (1/2)(b1 + b2)h

area = (1/2)(15 + 11)(9) = 117

Answer:

20%

Step-by-step explanation:

The uniform cost $8 more than last year.

Last year was $40

Find what percent of 40 is 8.

8/0.4 = 20

the percent change is 20%

Answer:

If you share 7 apples equally with 3 people, then there are 2 1/3 apples per person.

The number 2 represents the number of whole apples each individual gets.

The denominatior, 3, represents how many times an apple will have to be split to divide equally

The numerator, 1, represents how many 3rds each person gets.

Answer:

Step-by-step explanation:

x/3 + 6 = 17

Bringing like terms on one side

x/3 = 17 - 6

x/3 = 11

Dividing by 3 on both sides

x = 11/3

Answer:

The one you selected is the correct one

Answer:

(5/7) x 56 = 40 is correct

Step-by-step explanation:

How have you been stuck on this for 3 hours