Quadrilateral ABCD is a kite. A kite. Angle A is 90 degrees, angle B is unknown, angle C is 130 degrees, angle D is unknown. What is the measure of angle B? degrees

Answer: 42w

Step-by-step explanation:

Subtracting a negative is like adding.

Answer:

total rotation = 90 clockwise.

Step-by-step explanation:

Rotation from B to negative y-axis = 45 degrees because B(-3,-3)

Rotation from negative y-axis to B' = 45 degrees because B(-3,3)

Therefore total rotation = 45+45 = 90 clockwise.

Answer:

D

Step-by-step explanation:

Hello, This is a geometric sequence where the first term is [tex]a_1=-1[/tex].

It means that the sequence is [tex](a_n)_{n\geq 1}[/tex].

In other words, as the common ratio is 7 the sequence is defined by

[tex]a_1=-1[/tex]

[tex]a_{n+1}=a_n\cdot 7 \ \ \text{ for n }\geq 1[/tex]

For instance, we can estimate the first terms:

[tex]a_1=-1\\\\a_2=7a_1=-7\\\\a_3=7a_2=-49[/tex]

And we know that we can even find a formula for the [tex]n^{th}[/tex] term of the sequence by:

[tex]a_n=a_1\cdot 7^{n-1}=-7^{n-1}[/tex]

Now, to answer the question, the domain for n is all integers where [tex]n\geq 1[/tex].

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

c. jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory

Step-by-step explanation:

First In First Out  FIFO is a type of inventory system in accounting, it literally implies that  the oldest purchase goes out first when you made a sale. The oldest purchase are charged based on cost of good sold. If price are rising, :

FIFO will yield a lower cost of good sold

FIFO will yield a higher net income

FIFO will yield higher tax liability

FIFO will yield a higher inventory

From the information given:

the business records show that the cost of the stores inventory items has been steadily increasing. the cost of the end of the year inventory is 200,000 and the cost of the beginning of the year inventory was 250,000.

What the statement implies is that:

jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory

Answer:

x = 1

Step-by-step explanation:

Using the rules of logarithms

log [tex]x^{n}[/tex] ⇔ n log x

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

3[tex]log_{2}[/tex] (2x) = 3

[tex]log_{2}[/tex] (2x)³ = 3

(2x)³ = 2³

8x³ = 8 ( divide both sides by 8 )

x³ = 1 ( take the cube root of both sides )

x = 1

Answer:

x=1 is the correct answer

Step-by-step explanation:

got it right on edge!!!!

Answer:

Step-by-step explanation:

given data

mean = 1.9 hours

standard deviation = 0.3 hours

solution

we get here first  random movie between 1.8 and 2.0 hours

so here

P(1.8 < z < 2 )

z = (1.8 - 1.9) ÷ 0.3

z = -0.33

and

z = (2.0 - 1.9) ÷ 0.3

z = 0.33

z = 0.6293

so

P(-0.333 < z < 0.333 )

=  0.26

so random movie is between 1.8 and 2.0 hours long is 0.26

and

A movie is longer than 2.3 hours.

P(x > 2.3)

P( [tex]\frac{x-\mu }{\sigma}[/tex]  > [tex]\frac{2.3-\mu }{\sigma}[/tex] )

P (z  > [tex]\frac{2.3-1.9 }{0.3}[/tex]  )

P (z  > 1.333  )

= 0.091

so chance a movie is longer than 2.3 hours is 0.091

and

length of movie that is shorter than 94% of the movies is

P(x > a ) = 0.94

P(x <  a ) = 0.06

so

P( [tex]\frac{x-\mu }{\sigma }[/tex] <  [tex]\frac{a-\mu }{\sigma }[/tex] )

[tex]\frac{a-1.9 }{0.3 } = -1.55[/tex]

a = 1.43

so length of the movie that is shorter than 94% of the movies about 1.4 hours.

Answer:

(3,2)

Step-by-step explanation:

Just took the test

Answer:

(1, 18)

Step-by-step explanation:

Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.

Set y equal to the new right side.

y = -3(x - 1)

Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.

a = -3

h = 1

k = 18

Vertex = (h, k) / (1, 18)

Answer: 4

Step-by-step explanation:

Because there are two equal angles, this is an isoceles triangle. Line JP and HP are equal. To find the variable, write the equation which would be 3x-6=x+2. X is 4.

hope this helped:)

Answer: 4 AKA D

Step-by-step explanation:

Well to start off, we must first establish that line JP and line HP are equal because of the red ticks in the corner. So once we figured that out, then 3x-6 = x+2

»Next we add 6 to both side to make 3x = x+8

»Then we subtract x from both sides to equal 2x = 8

»Then we divide both sides by 2 which equals x=4

»So the final answer would be D. 4

Hope i helped

-lvr

Answer:

c. 108

Step-by-step explanation:

Given

Shape of container: Cube

Initial dimension of the container = 6ft by 6ft by 6ft

Initial Number of boxes = 4

Required

Calculate the number of boxes when the dimension is tripled

The first step is to calculate the initial volume of the box;

[tex]Volume = Length * Length * Length[/tex]

[tex]Volume = 6ft * 6ft * 6ft[/tex]

[tex]Volume = 216ft^3[/tex]

This implies that the container can contain 4 small boxes when its volume is 216;

Represent this as a ratio;

[tex]4 : 216[/tex]

The next step is to calculate the volume when the dimension is tripled;

[tex]New\ Length = Old\ Length * 3[/tex]

[tex]New\ Length = 6ft* 3[/tex]

[tex]New\ Length = 18ft[/tex]

Hence;

[tex]Volume = 18ft * 18ft * 18ft[/tex]

[tex]Volume = 5832ft^3[/tex]

Let the number of boxes it can contain be represented with x

Similarly, represent this as a ratio

[tex]x : 5832[/tex]

Equate both ratios;

[tex]4 : 216 = x : 5832[/tex]

Convert ratios to fractions

[tex]\frac{4}{216} = \frac{x}{5832}[/tex]

Multiply both sides by 5832

[tex]5832 * \frac{4}{216} = \frac{x}{5832} * 5832[/tex]

[tex]5832 * \frac{4}{216} = x[/tex]

[tex]\frac{5832 *4}{216} = x[/tex]

[tex]\frac{23328}{216} = x[/tex]

[tex]108 = x[/tex]

[tex]x = 108[/tex]

Hence, the maximum number of boxes it can contain is 108

Answer:

R = 21.8° to the nearest tenth

Step-by-step explanation:

To find Angle R we use tan

tan ∅ = opposite / adjacent

From the question

The opposite is 2

The adjacent is 5

So we have

tan R = 2/5

R = tan-¹ 2/5

Hope this helps you

146

Step-by-step explanation:

Given:

[tex]x - \dfrac{1}{x} = 12[/tex]

To Find:

[tex] \sf \: The \: value \: of \: {x}^{2} + \dfrac{1}{ {x}^{2} } [/tex]

How to find:

Just square both side, Solve as a equation and get the answer. Simple, Isn't it?

Solution:

See in attachment.

Answer:

146

Step-by-step explanation:

The answer of this question id 146 .

you can do this type of numericals by above process.

Answer:

3 ≤ n < 15

 1-2. not n

3-4. yes n

5-6. yes n

 7-8. yes n

9-10. yes n

11-12. yes n

13-14. yes n

15-16. not n

Step-by-step explanation:

Everything on this side is less than, < but everything on this side is greater.

Everything on this side could be equal or less, ≤ but everything on this side is

not.

I'm had a hard time with the number line, but imagine a line going through the periods and there being a dot where the yes ns end, and start.

Intervals has each point represent more than one number making the line shorter.

Answer:

B.

Step-by-step explanation:

First, it must be in descending order (i.e. largest to smallest). Thus, we can eliminate C and D since they go from smallest to largest.

Next, we need to find the degree of A and B. The degree of a polynomial is simply the highest exponent value of all the variables in a single term. If this is confusing, let's use A as an example.

In A, we have four terms: x^3y^3, xy^2, 5xy, and -4. This is a sixth degree polynomial. This is because for the first and largest term, x^3 and y^3, the total value of their exponents is 6. Because of this, A is not our answer.

For B, the biggest term is xy^2, and the degree is 1+2=3. Therefore, our answer is B since it is a third degree polynomial and it's in descending order.

Note that C is also a third-degree polynomial, but it's not written in descending order.

Answer:

210

Step-by-step explanation:

Given:

Medals in sports = 40

Medals in dance = 25

Medals in music = 212

Total students that received medals = 55

Total students that received medals in all three categories = 6

Required:

How many students get medals in exactly two of these categories?

Take the following:

A = set of persons who got medals in sports.

B = set of persons who got medals in dance

C = set of persons who got medals in music.

Therefore,

n(A) = 40

n(B) = 25

n(C) = 212

n(A∪B∪C)= 55

n(A∩B∩C)= 6

To find how many students get medals in exactly two of these categories, we have:

n(A∩B) + n(B∩C) + n(A∩C) −3*n(A∩B∩C)

=n(A∩B) + n(B∩C) + n(A∩C) −3*6 ……............... (1)

n(A∪B∪C)=n(A)+n(B)+n(C)−n(A∩B)−n(B∩C)−n(A∩C)+n(A∩B∩C)

Thus, n(A∩B)+n(B∩C)+n(A∩C)=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)

Using equation 1:

=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)−18

Substitute values in the equation:

= 40 + 25 + 212 + 6 − 55 − 18

= 283 - 73

= 210

Number of students that get medals in exactly two of these categories are 210

Answer:

120 degrees

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Add all the number then subtract it with 360.

Answer:  $1,077.50   or   $1,078.06 (see below)

Step-by-step explanation:

Since the interest is applied after 1 year and the debt was repaid in 8 months, no interest was accrued on the $2,550 loan.

Thus, the price of the tv is: $2,550 - $1,422.50 = $1,077.50

Note: If interest is charged for the 8 months (3/4 of a year), then the interest added to the loan amount is: 0.75(3/4) = $0.56

⇒ the the price of the tv is: $1,077.50 + $0.56 = $1,078.06

Let A, B, and C denote the sets of students that have taken calculus, sociology, and Spanish, respectively.

We're given that [tex]A\cup B\cup C[/tex] consists of 187 students.

We want to find the size of [tex]A\cap B\cap C[/tex], given that

• A has 61 students;

• B has 78;

• C has 72;

• [tex]A\cap B[/tex] has 15;

• [tex]A\cap C[/tex] has 20; and

• [tex]B\cap C[/tex] has 13.

Using the inclusion/exclusion principle, we have

[tex]|A\cup B\cup C|=|A|+|B|+|C|-(|A\cap B|+|A\cap C|+|B\cap C|)+|A\cap B\cap C|[/tex]

where |X| denotes the size of the set X. Plug in all the known sizes:

[tex]187=61+78+72-(15+20+13)+|A\cap B\cap C|[/tex]

[tex]\implies|A\cap B\cap C|=24[/tex]

so 24 students have taken all three classes.

Answer:

Step-by-step explanation:

The median is 4, which is the middle number. If there is no middle number, get the average of the two numbers closest to the median.

The mean is 4, which is the average of all the numbers. you add all of them up and divide by how many integers there are in the list.

The mode is 6, which is the integer that is shown the most.

Answer:

mean=4

median=4

mode=6

Step-by-step explanation:

Mean: add 0+2+2+4+4+6+6+6+6=36

36/ (the amount of numbers) 9= 4

Median: cross out the numbers left to right until you get to the middle which is 4.

Mode: 6 occurred four times, which is the most out of any of the other numbers in this sequence, so the answer is 6.

Answer:

maximum value at (- 1, 6 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

• If a > 0 then minimum value

• If a < 0 then maximum value

y = - (x + 1)² + 6

with (h, k) = (- 1, 6 ) and a = - 1

Thus vertex = (- 1, 6 ) and is a maximum

Answer:

The standard form of the equation is y = -x/2 -2

Step-by-step explanation:

The standard form of equation of this line is expressing the line in the form;

y = mx + c

So let’s make a rearrangement to what we have at hand;

y + 7 = -1/2(x-10)

2(y + 7) = -1(x-10)

2y + 14 = -x + 10

2y = -x + 10 -14

2y = -x -4

divide through by 2

y = -x/2 -2

Answer: x=10

Step-by-step explanation:

We can use the pythagorean theorem here: a^2 + b^2 = c^2, where c is the hypotenuse.

The values for c and one of the legs are already given, so we can plug them into the equation to find the length of the other leg x:

(square root of 200)^2 + x^2 = (square root of 300)^2

200 + x^2 = 300

x^2 = 100

x = 10

Answer:

Step-by-step explanation

square root  300 square - square root 200 square = x square

300 - 200 = x square

100 = x square

square root 100 = x

10= x

Answer:

51

Step-by-step explanation:

Well we first need to find the volume of the soup in the pot using the following formula,

πr^2h

15*15 = 225

225 * 25 = 5625

5625 * pi = 17671.46

Now we need to find the volume of the ice cube using the formula,

l*w*h

7*7*7 = 343

Now we do 17671.46 ÷ 343 = 51.5202915452

You can have half an ice cube,

thus, Sharon can make 51 whole cubes.

Hope this helps :)

Answer:

130 cubes  ( if the cylindrical height is 25 in )

51 cubes ( if the cylindrical height is 25 cm)

Step-by-step explanation:

cube edges = 7 cm long

volume of the soup = pi * r² * h

where h = 25in convert it to cm = 25 in * 2.54 cm/1 in = 63.5 cm

cylindrical pot diameter d = 30 cm

Volume of cylindrical pot = 3.14 * 15² * 63.5 = 44,885.5 cm³

Volume of ice cube = 7 * 7 * 7 = 343 cm³

to get the number of cubes = 44,885.5 / 343 = 130 cubes

therefore, Sharon can make 130 whole cubes

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

if the cylindrical height is 25cm then

Volume of cylindrical pot = 3.14 * 15² * 25 = 17,671.5 cm³

Volume of ice cube = 7 * 7 * 7 = 343 cm³

to get the number of cubes = 17,671.5 / 343 = 51 cubes

Answer:

3 years

Step-by-step explanation:

I assume it's simple interest.

I = Prt

132 = 800 * 0.055 * t

t = 132/(800 * 0.055)

t = 132/44

t = 3

Answer: 3 years

Answer:

AQ = 20 units

Step-by-step explanation:

I tried figuring in the pic below..

Similar triangles are triangles whose corresponding measures are proportional. All of their corresponding angles are also congruent. There are theorems and postulates that prove triangle similarity. Usually they requrie at least three parts of each triangle. The symbol for similarity is ~.

We have two triangles in the figure. ΔAQR and ΔABC. We will prove first that they are similar.

Answer:

20

Step-by-step explanation:

RQ is 1/2 of CB, so 2(2p+3)=6p-4. This would make p=5. Then, 5*4=20.

(also it is right on edgenuity)

Step-by-step explanation:

The equation is   sinθ * cosθ - sinθ = 0

θ = 0 + 2kπ

θ = 2kπ where k is any integer

The solutions to the equation are: {0 degree, 180 degree, 360 degree, 360 degree + 180 degree n, where n is any integer}

Hence, the correct option is C.

The given equation is:

sin theta × cos theta - sin theta = 0

We can factor out the sine theta:

sin theta (cos theta - 1) = 0

This means that either sin theta = 0 or cos theta - 1 = 0.

If sin theta = 0, then theta = 0, 180 degrees, 360 degrees, etc.

If cos theta - 1 = 0, then cos theta = 1, which means that theta = 0 degrees and 360 degrees.

Therefore, the solutions to the equation are:

{0 degree, 180 degree, 360 degree, 360 degree + 180 degree n, where n is any integer}

So the answer is C.

Learn more about solutions here: brainly.com/question/30665317

#SPJ2

Answer:

Con el conducto A abierto, el estanque se llenará en 32.5 horas.

Step-by-step explanation:

Deje que el volumen de agua presente en el estanque sea x litros

La tasa conjunta sería x / 20 litros por hora.

Para el conducto A, no sabemos la hora, llamemos a esto y así que la tasa aquí será x / y

Para el conducto B tomará 52 horas y su tasa es x / 52

Matemáticamente, cuando sumamos ambas tasas juntas, obtendremos la tasa conjunta; Así; x / y + x / 52 = x / 20

Saca x en ambos lados 1 / y+ 1/52 = 1/20

(52 + y) / 52y = 1/20

20 (52 + y) = 52y

1040 + 20y= 52y

1040 = 52y -20y

32y = 1040 y = 1040/32

y = 32.5 horas

Con el conducto A abierto, el estanque se llenará en 32.5 horas.

Answer:

Mode: 100

Mean: 46.94444...

Median: 29.5

Range: 150

Step-by-step explanation:

Mode: most occurring number: 100

Mean: Plus everything and divide by how many number there is: 845/18=46.94....

Median: The middle number, but you need to line it from smallest to greatest.

0, 0, 0, 1, 3, 4, 5, 12, 29, 30, 40, 50, 100, 100, 100, 100, 121, 150

29 and 30 is in the middle. In this case, you plus 29+30 and divide by 2. =29.5

Range: Largest number-Smallest number. You also need to line it from smallest to largest: 150-0=150

Hope this helps, BRAINLIEST would really help me:)

Answer:

(1,-2)

Step-by-step explanation

y = -3x + 1

y = 2x - 4

-3x + 1 = 2x - 4

-5x + 1 = -4

-5x = -5

x = 1

y= 2(1) - 4

y = 2 - 4

y = -2

(1,-2)

Answer:

1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The figure above is a quadrilateral

Angles in a quadrilateral add up to 360°

To find x add up all the angles and equate them to 360°

That's

6x + 4x + 3x + x + 10 = 360

14x = 350

Divide both sides by 14

x = 25°

Hope this helps you