Find the area of the figure. (Sides meet at right angles.)

The value of x that makes ∠U and ∠V to be supplementary angles are; x = 15°

When we are talking about angle theorem and congruency in mathematics, it is well know that supplementary angles are defined as angles whose sum is equal to 180 degrees.

Now, we are given;

∠U = 3x°

∠V = 3(∠U)

Thus;

∠V = 3(3x°) = 9x°

From definition of supplementary angles, we can say that;

3x° + 9x° = 180°

12x = 180°

x = 180/12

x = 15°

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The measurement of the given angle is a 90 degree.

According to the statement

We have to find that the measurement of this angle.

So, For this purpose, we know that the

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

From the given information:

In the given figure, the measurement of the angle we have to find.

A 90-degree angle is a right angle and it is exactly half of a straight angle. It always corresponds to a quarter turn.

And from the figure it is clearly visible that the line of the angle exactly matches with the 90 degree.

Then the angle is 90 degree.

So, The measurement of the given angle is a 90 degree.

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Answer:

10x + 7(10x)

Step-by-step explanation:

X is the unknown number

Answer: We have two solutions:

1000-998=2

      or

1001 - 999 = 2

Answer:

Yes

Step-by-step explanation:

It is a function look at the numbers

Hi 

let call "a number" X.

then we have: 4-13X = X + 8 ..

If a pipe is leaking at a rate of 8 US fluid ounces per minute, then 3.75 US liquid gallons of the fluid will leak from the pipe in an hour.

As per the question statement, a pipe is leaking at a rate of 8 US fluid ounces per minute and we are required to calculate the amount of leak that will occur at the same rate of leakage, in an hour, in the units of US liquid gallons.

To solve this question, we need to know to know about two basic mathematical conversions, i.e.,

1 US Liquid Ounce = 0.00781 US Liquid Gallons, and

1 hour = 60 minutes.

Therefore, amount of leak that will occur at the rate of 8 US fluid ounces per minute, in an hour = [tex](8 * 60)=480[/tex] US fluid ounces.

And 480 US fluid ounces = [tex](0.00781 * 480)=3.75[/tex] US Liquid Gallons.

Hence, 3.75 US Liquid Gallons of fluid will leak from the pipe in an hour.

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Given equation  y = log2x

         domain {1/2, 1, 2, 4, 8, 16}.

The graph of six points that would satisfy the equation.

 In equation put the value of

x =1/2

y= -1

for x= 1

     y=0

for x= 2

    y=1

for x= 4

     y=2

for x =8

    y= 3

for x= 16

    y=4

Plot the points  {1/2, 1, 2, 4, 8, 16}  on a coordinate plane

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The value of the perimeter of square become is 36x - 132.

According to the statement

We have to find that the perimeter of the square.

So, For this purpose, we know that the

The perimeter of the square is defined as the total length of the boundary of a square.

From the given information:

The side of the square is given which is:

9x - 33

Then

We know that the

Perimeter of square  = 4a

And substitute the values in it then

here a = 9x-33

Then after put the values Then

Perimeter of square = 4(9x-33)

Perimeter of square = 36x - 132.

The value of the perimeter of square become is 36x - 132.

So, The value of the perimeter of square become is 36x - 132.

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The value of the c is 1 which makes the perfect square trinomial.

According to the statement

We have to find that the value of the c.

So, For this purpose, we know that the

An expression obtained from the square of the binomial equation is a perfect square trinomial.

From the given information:

The Given statement is:

x² - 2x + c

is a perfect square of the form

(x - a)² = x² - 2ax + a²

Now,compare with x² - 2x + c, then

- 2a = - 2 ⇒ a = 1,

thus

a² = 1² = 1 = c

(x - 1)² = x² - 2x + 1 ← perfect square trinomial

It means the value of c is 1.

So, The value of the c is 1 which makes the perfect square trinomial.

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Points A, B, C, D, and E are collinear and in that order. The value of Ac is 18.

According to the segment addition postulate, if two points on a line segment, A and C, are given, a third point, B, will only be found on line segment AC if and only if the distances between the points satisfy the conditions of the equation AB + BC = AC.

Keep in mind that a line segment is a portion of a line that has two distinct end points. There are many points between the two end points that make up the object.

The segment addition postulate can be stated more simply by saying that if point B lies on line segment AC, then AB + BC will equal AC.

by the segment addition postulate,

AC + CE = AE so AC = AE - CE

AC = (x+50) - (x+32)

AC = x+50-x-32

AC = 18

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The student's GPA is of 2.33.

Grade Point Average (GPA) is the measure used to summaries your academic achievement at Griffith.

Given:

A worth 4​ points,

B worth 3​ points,

C worth 2​ points,

D worth 1 point

The GPA is

= 3(3) + 1(3) + 2(4) + 2(2)/9+3+4+2

=9+3+8+4/18

=2.33

Hence, The student's GPA is of 2.33.

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The cost of the dryer will be $450

In the given sum the combined cost of the washer and dryer is $813

let the cost of the dyer be x

the cost of the washer will be (87 - x) as it is mentioned in the question washer costs $87 less than the dryer

According to the problem :

∴  x + (x-87) = 813

=> x+x-87 = 813

=> 2x - 87 = 813

=> 2x = 813 +87

=> 2x = 900

=> x = 900/2

=> x = 450

So the cost of the dryer is $450

The cost of the washer is = x - 87 = 450 - 87 = $363

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Answer:

80 and 90

Step-by-step explanation:

[tex]\sqrt{x}=9 \implies x=9^2=81 \implies 80<x<90[/tex]

The best description for the elevation of Kristianstad is below sea level.

The elevation of Kristianstad, Sweden, a city founded by King Christian IV of Denmark, is -2 meters .

The best option that describes the elevation of Kristianstad is as follows:

Therefore,

At sea level the elevation will be at 0 meters.

Above sea level the elevation will be above 0 meters. That will make the elevation to be positive

Below sea level the elevation will be below 0 meters. That will make the elevation to be negative.

Therefore, the best description for the elevation of Kristianstad is below sea level.

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Answer:

[tex]\dfrac{4+\sqrt{3}}{4}-\dfrac{(3+4\sqrt{3})}{12}i[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{4+\sqrt{3}}{3+\sqrt{-3}}[/tex]

[tex]\textsf{Apply radical rule}:\quad \sqrt{-a}=\sqrt{a}\sqrt{-1}[/tex]

[tex]\implies \dfrac{4+\sqrt{3}}{3+\sqrt{3}\sqrt{-1}}[/tex]

[tex]\textsf{Apply imaginary number rule}:\quad \sqrt{-1}=i[/tex]

[tex]\implies \dfrac{4+\sqrt{3}}{3+\sqrt{3}i}[/tex]

Multiply by the conjugate of the denominator:

[tex]\implies \dfrac{4+\sqrt{3}}{3+\sqrt{3}i} \cdot \dfrac{3-\sqrt{3}i}{3-\sqrt{3}i}[/tex]

[tex]\implies \dfrac{(4+\sqrt{3})(3-\sqrt{3}i)}{(3+\sqrt{3}i)(3-\sqrt{3}i)}[/tex]

[tex]\implies \dfrac{12-4\sqrt{3}i+3\sqrt{3}-\sqrt{3}i\sqrt{3}}{9-3\sqrt{3}i+3\sqrt{3}i-\sqrt{3}i\sqrt{3}i}[/tex]

[tex]\implies \dfrac{12+3\sqrt{3}-4\sqrt{3}i-3i}{9-3i^2}[/tex]

[tex]\implies \dfrac{12+3\sqrt{3}-(3+4\sqrt{3})i}{9-3i^2}[/tex]

[tex]\textsf{Apply imaginary number rule}:\quad i^2=-1[/tex]

[tex]\implies \dfrac{12+3\sqrt{3}-(3+4\sqrt{3})i}{9-3(-1)}[/tex]

[tex]\implies \dfrac{12+3\sqrt{3}-(3+4\sqrt{3})i}{12}[/tex]

Separate the fractions:

[tex]\implies \dfrac{12+3\sqrt{3}}{12}-\dfrac{(3+4\sqrt{3})i}{12}[/tex]

Simplify:

[tex]\implies \dfrac{4+\sqrt{3}}{4}-\dfrac{(3+4\sqrt{3})}{12}i[/tex]

Answer:

Length = 17 in

Width = 12 in

Step-by-step explanation:

Formula we use,

→ P = 2(L + W)

Then the value of L and W is,

→ P = 2(L + W)

→ 58 = 2(x + 5 + x)

→ 2(2x + 5) = 58

→ 4x = 58 - 10

→ x = 48/4

→ [ x = 12 ]

Then the width will be,

→ W = x = 12 in

Hence, the width is 12 in.

Now the length will be,

→ L = x + 5 = 12 + 5 = 17 in

Therefore, the length is 17 in.

Answer:

6

Step-by-step explanation:

The union is defined as the set of all elements in at least one of the sets.

[tex]A \cup B=\{1,2,3,4,5,7\}[/tex]

So, there are 6 elements.

Answer:

21

Step-by-step explanation:

the price of the lower priced docs for that week would be 3x because the store sold 3 times as many low priced than the higher priced.

> so 90(3x) = 270x

170x + 270x = 440x

3080/440 = 7

7 high priced speakers were sold

to find out the cost of the lower ones you'd do

3x7 and get 21

Answer: B. 100

C. 400

D. 300

Step-by-step explanation:

A=area of square. s=side length of square.

B. A=s^2

A=10^2

A=100

C. A=20^2

A=400

D. I=Increase in Area

I=20^2 -10^2

I=400-100

I=300

Answer:

x=6

Step-by-step explanation:

2(x+3)-8=10

use 2 to multiply the one in the bracket

(2x+6)-8=10

group like terms

2x-2=10

send all constant terms to one side of the equation

2x=10+2

2x=12

divide both side by the coefficient of x

2x/2=12/2

x=6

Expression for given numerical is: 9+ (2/x)

Given that we have an word equation that is 9 more than the quotient of 2 and  x

A quotient is a quantity produced by the division of two numbers.

Quotient of 2 and x is [tex]\frac{2}{x}[/tex].

Nine(9) more  than 2/x is = 9+ (2/x)

So we have an expression that is:

              9+ (2/x)                          

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What number is 15% of 43?

43% of 300 is what number?

12% of what number is 43?

43 is what percent of 106?

What percent of 43 is 6?

The base as used in the question refers to the main number that is a=to say the number on which other calculation are focused on.

Percent is a term used in mathematics to refer to a fraction with a denominator of one hundred. Numbers in percent is accompanied with the percent symbol which is %. Any number having that symbol means that the number is a fraction with a denominator of one hundred.

The term amount as used refers to the result gotten when some mathematical operation is being done on the base.

The calculations to the questions asked are below:

What number is 15% of 43?

= 15/100 x 43

= 6.45

43% of 300 is what number?

= 43/100 x 300

= 129

12% of what number is 43?

= 12/100 x 43

= 5.16

43 is what percent of 106

= 43/106 * 100

= 40.56%

What percent of 43 is 6

= 6/43 x 100

= 13.95%

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Answer: irrational

Step-by-step explanation:

because it still cant be turned into a fraction after adding 9 to pi

The simplification of the given expression   − 7 w + 2 p is 2.

Negative integers have been real integers less than zero. For instance, 147 and 4 are negative integers, but 0.4181554... and 10 are not; the former is a negative number yet not an integer, whereas the latter is a positive integer.

The given expression is;

= -  7 w + 2 p

The for the variables is given;

w = − 2 and p = − 6

put the values in the expression;

= -7(-2) + 2(-6)

Th multiplication of 2 negative will be positive while one positive one negative will give negative number only.

Thus,

= 14 - 12

Simply subtract;

= 2

Therefore, the result of the given expression is 2.

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Answer:use demos cauculator

Step-by-step explanation:

Answer: -2.25

Step-by-step explanation:-2.25 because it is closer to 0

From the example that if a = 3 and b = 3 so the value of n = 6. It means that a ≤ n/2 and b ≤ n/2.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that all integers a, b, and n, if n = a + b, then a ≤ n/2 or b ≤ n/2. Let the value of a = 3 and b = 3 now the value of n will be:-

n = a + b

n = 3 + 3 = 6

a = 3, n = 6 then a ≤ n/2.

b = 3, n = 6 then  b ≤ n/2.

Therefore, the example that if a = 3 and b = 3 so the value of n = 6. It means that a ≤ n/2 and b ≤ n/2.

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The solution for the given system of equations is (3,5) and (-4,12).

Given two systems of equations i.e. x+y=8 and y=[tex]x^{2}[/tex]-4 and asked to solve them.

⇒x+y=8; let's assume this equation as A

⇒ y=[tex]x^{2}[/tex]-4; let's assume this equation as B

From equation A

⇒y=8-x

From equation B

⇒y=[tex]x^{2}[/tex]-4

Equating both the values of y

⇒8-x=[tex]x^{2}[/tex]-4

⇒[tex]x^{2}[/tex]-8-4+x=0

⇒[tex]x^{2}[/tex]-12+x=0

{solving quadratic equation}

⇒[tex]x^{2}[/tex]-12+4x-3x=0 { factorizing the quadratic equation}

⇒[tex]x^{2}[/tex]+4x-3x-12=0

⇒x(x+4)-3(x+4)=0

⇒(x-3)(x+4)=0

Therefore, the value's of x=3,-4

⇒if x=3

From  equation A

⇒y=8-3=5

For x=3 ; y=5

⇒if x=-4

From  equation A

⇒y=8-(-4)=12

For x=-4 ; y=12

Therefore,The solution for the given system of equations is (3,5) and (-4,12).

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The batches of bread and muffins should be made to maximize profits are 0 batches of bread and 16 batches of muffins

The given parameters can be represented on the following table

                 Bread (x)                    Muffins (y)

Prepare         4                                 1                         16

Bake             0.5                            0.5                        10

Profit            35                               10

The parameters from the above table are

Max P = 35x + 10y

Subject to

4x + y <= 16

0.5x + 0.5y <=10

x, y > 0

Solving the above constraints using a graphing calculator, we have the following points

(x, y) = (4, 0) and (0, 16)

Substitute these values in Max P = 35x + 10y

So, we have

P = 35 x 4 + 10 x 0 = 140

P = 35 x 0 + 10 x 16 = 160

160 is greater than 140

Hence, the batches of bread and muffins should be made to maximize profits are 0 batches of bread and 16 batches of muffins

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