Find the missing value
8
14
45
15

Hello from MrBillDoesMath!

Answer:

See Discussion section below

Discussion:

We know that

m<1  = m<2          ("measure" of angle 1 = measure of angle 2)

                     and

m<3 = m< 4

Adding these two equations gives

m<1 + m<3 = m<2 + m<4

From the diagram,  m<1 + m<3 =  m<CWE and m<2+m<4= m<FZH. Substituting these in the above equation gives:

m<CWE = m<FZH

Regards,  

MrB

Given equal angles in two figures, we prove that the angles formed by CWD and FZG, as well as DWE and GZH, are equal, thus showing m∠CWE = m∠FZH.

To prove that m∠CWE = m∠FZH, we can use the information given and apply the transitive property of equality. We have the following information:

Given:

1. m∠1 = m∠2 (angles 1 and 2 are congruent)

2. m∠3 = m∠4 (angles 3 and 4 are congruent)

We want to prove:

m∠CWE = m∠FZH

Now, let's construct a table to demonstrate the proof step by step:

| Statement         | Reason                               | Lines Used       |

|-------------------|--------------------------------------|------------------|

| 1. m∠1 = m∠2     | Given                                | Given            |

| 2. m∠3 = m∠4     | Given                                | Given            |

| 3. m∠CWD = m∠FZG | Corresponding angles are congruent   | Definition of ∠   |

| 4. m∠DWE = m∠GZH | Corresponding angles are congruent   | Definition of ∠   |

| 5. m∠CWD + m∠DWE = m∠FZG + m∠GZH | Adding equal quantities to equal quantities | Addition Property of Equality |

| 6. m∠CWE = m∠FZH | Angles CWD and DWE form ∠CWE, and angles FZG and GZH form ∠FZH | Definition of ∠ |

In lines 3 and 4, we use the definition of corresponding angles to show that angles CWD and FZG are congruent and angles DWE and GZH are congruent.

In line 5, we use the addition property of equality to add the two equal quantities, m∠CWD and m∠DWE on the left side, and m∠FZG and m∠GZH on the right side.

In line 6, we use the definition of angles to establish that m∠CWE is equal to m∠FZH.

In conclusion, we have successfully proven that m∠CWE = m∠FZH using the given information and the properties of angles.

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Answer:

The correct answer is option C

Step-by-step explanation:

Area is usually the planar lamina of a two dimensional figure and usually expressed in units square meter, square feet, square inches etc.

While Volume is the total space occupied by an object in a 3-D setting and is usually expressed in cubic meter, cubic feet, cubic inches etc.

A 2-D dimension can not represent a 3-D structure and thus units of area inappropriate to measure volume

Answer:

(x, y ) = (3 , - 4 )

Step-by-step explanation:

given the 2 equations

2x - 3y = 18 → (1)

4x + y = 8 → (2)

multiply (2) by 3

12x + 3y = 24 → (3)

add (1) and (3) term by term to eliminate the term in y

(2x + 12x) + (- 3y + 3y) = (18 + 24)

14x = 42 ( divide both sides by 14 )

x = 3

substitute x = 3 in (1) or (2) to evaluate for y-coordinate

(2) → 12 + y = 8 ⇒ y = 8 - 12 = - 4

solution is (3, - 4 )

Answer:

Number of countries in Florida=5×a-8

Number of countries in Georgia=2×f+25

Step-by-step explanation:

Given that the number of countries in Florida is denoted by f, number of countries in Arizona is given by a and the number of countries in Georgia is given by g.

as Florida has 8 less than five times the number of countries in Arizona

So f=5×a-8

Georgia has 25 more than twice the number of countries in Florida

So g=2×f+25

Now it is given that Arizona has 15 countries i.e. a=15

So f=5×15-8

f=67

g=2×67+25

g=159

Hence, number of countries in Florida is:67

number of countries in Georgia is:159

Florida has 67 counties and Georgia has 159 counties, based on the expressions given and the number of counties stated for Arizona.

The number of counties in Florida is represented by the expression 5a - 8, where 'a' is the number of counties in Arizona. Given that Arizona has 15 counties, we substitute 'a' with '15' in the expression to get 5*15 - 8 = 67. Hence, Florida has 67 counties.

The number of counties in Georgia is represented by the expression 2f + 25, where 'f' is the number of counties in Florida. Given that Florida has 67 counties, we substitute 'f' with '67' in the expression to get 2*67 + 25 = 159. Hence, Georgia has 159 counties.

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Answer:

Each Child get = 0.928 pounds of candy

Step-by-step explanation:

Total no of girls are 3

total no of boys are 4

Total no boys and girls are = 3 + 4

                                             = 7

Now it is given that Mr Reese booth have some pound of candies and he wants to distribute it equally among each children

total candy Mr Reese have is [tex]6\frac{1}{2}[/tex]

Now converting it to proper fraction

[tex]6\frac{1}{2}[/tex] =[tex]\frac{6*2+1}{2}[/tex]

                                 =  [tex]\frac{13}{2}[/tex]

Now the amount of candy have =[tex]\frac{13}{2}[/tex]

Now we have to divide it into 7 kids

so

each kid get = total candy / total children

                     =[tex]\frac{13}{2}[/tex]÷7

Changing the divide sign to multiplication  

                      [tex]=\frac{13}{2}*\frac{1}{7}[/tex]

Which becomes

                      [tex]=\frac{13}{14}[/tex]

solving it gives

Each Child get = 0.928 pounds of candy

Answer:

The rate of change is 7/3

Step-by-step explanation:

To find the average rate of change, we subtract  the value of the function at the 2 points, over the difference of the 2 points.

f(3) -f(0)

-----------

3-0

f(3) = 2^(3)+1 = 8+1 =9

f(0) = 1 +1 = 1

9 -2

-----------

3-0

7/3

The rate of change is 7/3

Each line is one unit.

When X = 0, the blue line is at Y = 2

When x = 3, the blue line is at Y = 9

The average rate of change would be the change in y over the change in x.

The change in y = 9 - 2 = 7

The change in x = 3-0 = 3

The average rate of change would be 7/3

Answer:

Choice A) x and f(x) approach negative infinity

Choice D) x and f(x) approach positive infinity

Step-by-step explanation:

A cubic curve starts low and ends high if the leading coefficient is positive, which in this case it is. This means that the left side of the graph falls while the right side rises. Your teacher might say something like "fall to the left, rise to the right" to describe what the end behavior is doing.

More formally "fall to the left" means that as x approaches negative infinity, y = f(x) is approaching negative infinity as well. Similarly, "rise to the right" indicates that as x approaches infinity, y = f(x) heads off to infinity as well. Both x and y = f(x) move in the same direction along their respective number lines; eg, if one goes in the negative direction, then so does the other.

The graph below confirms the answer visually.

Answer: 31%

Step-by-step explanation: If you divide the amount of Graduate students receiving Financial Aid by the total students receiving Financial Aid then you get 31%

Answer:

The answer is 19.0000. 38 divided by two = t. (19)

Step-by-step explanation:

The approximate solution of an equation is simply an estimate of the solution.

The approximate solution of 2t = 38 is (d) 19.0000

The equation is given as:

[tex]\mathbf{2t =38}[/tex]

Start by dividing both sides of the equations by 2

[tex]\mathbf{\frac{2t}{2} =\frac{38}2}[/tex]

Divide 2t by 2, to give 2

So, we have

[tex]\mathbf{t =\frac{38}2}[/tex]

Divide 38 by 2 to give 19

[tex]\mathbf{t =19}[/tex]

From the list of given options, 19.0000 approximates to 19.

So, the solution of the equation can be rewritten as:

[tex]\mathbf{t =19.0000}[/tex]

Hence, the approximate solution is (d) 19.0000

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The length of segment AB is 9 units. So the answer is B) 9.

To find the length of segment AB, we can use the angle bisector theorem, which states that in a triangle, the length of the angle bisector from a vertex to the opposite side is proportional to the lengths of the two segments of that side.

Let's denote the length of AB as x.

Given that BC = 9 units and B is the midpoint of AC, AC = BC = 9 units.

Given that AD = 16 units.

Since B is the midpoint of AC, we can deduce that AB = BC = 9 units.

Therefore, the correct answer is B) 9.

Complete and correct question:
'Consider the diagram. What is the length of segment AB?
A) 7
B) 9
C) 18
D) 25

Answer:

A [tex]\alpha ,\beta[/tex]

Step-by-step explanation:

Step 1

The first step is to notice that the graphs of II and iv have the same y intercept. This means that we are looking for functions that match the condition that when t=0, the two functions have the same value.  The functions [tex]10(1.02)^t,10(1.05)^t[/tex] meet that condition. Additionally the functions  [tex]30(0.95)^t,30(1.05)^t[/tex] meet this condition.

Step 2

The other condition that must be met by the 2 functions is that they should both increase with the increase in increasing values of t.  the function  [tex]30(0.95)^t[/tex] does not meet this condition. This means that only the functions [tex]\alpha ,\beta[/tex] are the only functions that meet this condition.

Answer:

a. α and β

Step-by-step explanation:

One way to solve this exercise is by analyzing the y - intercept of the functions.

By looking at the graph, we can see that II and IV have the same y - intercept.

All the formulas below depend of the variable ''[tex]t[/tex]'' so if we want to find the y - intercept we only need to replace by ''[tex]t=0[/tex]'' in the formulas.

We can also see that the y - intercept of II and IV will be the lower that the another y - intercept of the functions.  

If we replace by [tex]t=0[/tex] :

(α)(t) = [tex]10.(1.02)^{t}[/tex] ⇒ [tex]10.(1.02)^{0}=10[/tex]

(β)(t) = [tex]10.(1.05)^{t}[/tex] ⇒ [tex]10.(1.05)^{0}=10[/tex]

(χ)(t) = [tex]20.(1.02)^{t}[/tex] ⇒ [tex]20.(1.02)^{0}=20[/tex]

(δ)(t) = [tex]30.(0.85)^{t}[/tex] ⇒ [tex]30.(0.85)^{0}=30[/tex]

(ε)(t) = [tex]30.(0.95)^{t}[/tex] ⇒ [tex]30.(0.95)^{0}=30[/tex]

(Φ)(t) = [tex]30.(1.05)^{t}[/tex] ⇒ [tex]30.(1.05)^{0}=30[/tex]

We find that the lowest y - intercept (also equal) are the y - intercept of α and β. Therefore, the correct option is a. α and β

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have

[tex]x_1=0,\ y_1=2.50\\\\x_2=1,\ y_2=5.00[/tex]

Substitute:

[tex]m=\dfrac{5-2.5}{1-0}=\dfrac{2.5}{1}=2.5[/tex]

y-intercept is for x = 0. Therefore y-intercept = 2.50.

The linear relationship: y = mx + b

m - slope

b - y-intercept

Substitute:

y = 2.5x + 2.5

Answer:

slope is 2.5

y intercept is 2.5

equation is y = 2.5x + 2.5

Step-by-step explanation:

We can find the slope by using the formula

m = (y2-y1)/(x2-x1)

   = (27.5-2.5)/(10-0)

    = (25/10)

    = 2.5

The y intercept is the y value when x = 0

The y intercept is 2.5

The equation for the line can be written using the formula

y= mx +b where m is the slope and b is the y intercept

y = 2.5x + 2.5

Answer:

Second answer

Step-by-step explanation:

Union means everything inside A and B

Answer:

B) {2, 3, 4, 6, 8, 9, 10, 12}

Step-by-step explanation:

Given:

A = {3, 6, 9, 12} and B = {2, 4, 6, 8, 10, 12}

AUB is the set of all the numbers combined with set A and set B.

A U B = {2, 3, 4, 6, 8, 9, 10, 12}

Therefore, answer is B) {2, 3, 4, 6, 8, 9, 10, 12}

Hope this will helpful.

Thank you.

Answer:

(2.9, 8.2)

Step-by-step explanation:

Formula used for finding the coordinates of the point that partitions the directed line segment EF

[tex](\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})[/tex]

Point E is located at (−2, 4) and point F is located at (5, 10)

(x1,y1) is (-2,4)  and (x2,y2) is (5,10) , m=7, n= 3

Plug in the values in the formula

[tex](\frac{7(5)+3(-2)}{7+3}, \frac{7(10)+3(4)}{7+3})[/tex]

[tex](\frac{29}{10}, \frac{82}{10})[/tex]

(2.9, 8.2)

Answer:

(2.9, 8.2)

Step-by-step explanation:

I took the test

Answer:

All of the above

Step-by-step explanation:

<1 = <2  Alternate interior angles

<1 = <5   Corresponding angles

Answer:

1.4

Step-by-step explanation:

im 100% right here is the proof

Answer:

2 1/2 packages of crackers

Step-by-step explanation:

Answer:

2.5 packages of crackers

Step-by-step explanation:

multiply .5 by 5

good luck

please mark me brainliest

Answer:

The expression is not equivalent to other three is 9(n-9) .

Option (B) is correct .

Step-by-step explanation:

Take first expression

= -9 -7n + 16n

= 9n-9

Take second expression

= 9(n-9)

= 9 × n - 9 × 9

= 9n - 81

Take third expression

= n-9+8n

= 9n-9

Take fourth expression

= 9n-9

Therefore expression is not equivalent to other three is 9(n-9) .

Option (B) is correct .

Answer:

B

Step-by-step explanation:

Answer:

Width of the rectangular side of that prism is, 9cm

Step-by-step explanation:

The formula for Perimeter of pentagonal prism is given by:

[tex]P = 5b[/tex]

where

P represents the perimeter of the pentagonal prism and

b is the base length of the pentagonal prism.

Given: Perimeter of pentagonal prism(P) is 45 cm.

Then;

45 = 5b

Divide both sides  by 5 we get;

[tex]b = \frac{45}{5} = 9 cm[/tex]

Therefore, the width of the rectangular side of that prism is, 9cm

Answer:

Width of the rectangular side of that prism is, 9cm

Step-by-step explanation:

[tex]\sqrt{\dfrac{64}{100}}=\dfrac{8}{25}[/tex]

To calculate the shaded area, determine the area of the entire shape and the area of the shaded region. Subtract the area of the shaded region from the area of the entire shape to find the shaded area.

To calculate the shaded area, we first need to determine the area of the entire shape. Let's say the shape is a rectangle with a length of 10 units and a width of 6 units. The area of the rectangle is given by multiplying the length by the width, so in this case, the area is 10 units x 6 units = 60 square units.

Next, we need to determine the area of the shaded region. Let's say the shaded region is a right triangle with a base of 4 units and a height of 3 units. The area of a triangle is given by multiplying the base by the height and dividing by 2. So, the area of the shaded triangle is (4 units x 3 units) / 2 = 6 square units.

Finally, we can calculate the shaded area by subtracting the area of the shaded triangle from the area of the entire shape. The shaded area is 60 square units - 6 square units = 54 square units.

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If a, b and c are the lengths of the sides of a triangle then

if a ≤ b ≤ c, then a + b > c.

A) 9, 12, 21

9 + 12 = 21  YES :)

B) 9, 11, 12

9 + 11 = 20 > 12  NOT :(

C) 12, 14, 16

12 + 14 = 26 > 16  NOT :(

D) 16, 18, 25

16 + 18 = 34 > 25  NOT :(

The set of angle measures could be the measures of the interior angles of a triangle are,

⇒ 55°, 90°, and 35°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

To find the set of angle measures could be the measures of the interior angles of a triangle.

Now, We know that;

Sum of all interior angles of a triangle is 180 degree.

A) 60°, 45°, and 70°

⇒ 60 + 45 + 70

⇒ 175 ≠ 180

Hence, It is not possible.

B) 30°, 85°, and 25°

⇒ 30 + 85 + 25

⇒ 140 ≠ 180

Hence, It is not possible.

C) 55°, 90°, and 35°

⇒ 55 + 90 + 35

⇒ 180

Hence, It is possible.

Thus, The set of angle measures could be the measures of the interior angles of a triangle are,

⇒ 55°, 90°, and 35°

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Answer: The price of each shirt she bought was $22.95.

Step-by-step explanation:

Hi, to answer this, first, we have to add to the discounted price (52.22) the amount of the credit (39.58), to obtain the original total cost (without discount).

So:

52.22+39.58 = $91.8

Since she bought 4 shirts, we have to divide the total cost by 4:

91.8 /4 = $22.95

The price of each shirt she bought was $22.95.

To find the original price of the book after a 20% discount, multiply the price paid by 0.2 and subtract the result from the price paid.

To find the original price of the book, we need to determine the amount of the 20% discount and subtract it from the price Meghan paid. First, let's calculate the discount amount by multiplying $7 by 20% (or 0.2), which gives us $1.40.

Next, subtract the discount amount from the price Meghan paid: $7 - $1.40 = $5.60. The question asks us to find the original price of a book before a 20% discount which Meghan paid $7 for post-discount.

Therefore, the original price of the book was $5.60.

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Answer: D. an angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the positive x-axis.

D. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the positive [tex]x-[/tex]axis.

A Cartesian coordinate system in two dimensions (also called a rectangular coordinate system or an orthogonal coordinate system) is defined by an ordered pair of perpendicular lines (axes), a single unit of length for both axes, and an orientation for each axis.

An angle can be defined as the figure formed by two rays meeting at a common end point.

D. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the positive [tex]x-[/tex]axis.

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Answer:

1. 50%

2. 30.372

3. 569.99

5. 29.99

7. 479.99

8. 65%

9. 306.33

10. 20%

11. 31,491

Answer:

AB = 60 cm

Step-by-step explanation:

AB + BC = AC

let the length of BC = x then AB = 4x, hence

4x + x = 75

5x = 75 ( divide both sides by 5 )

x = 15

AB = 4x = 4 × 15 = 60 cm

Given to us,

ABC is a straight line,

the length of AB is four times the length of BC,

AC = 75cm.

As given to us, the length of AB is four times the length of BC. therefore, we can write it as, AB = 4(BC), which is equation 1 for us.

Also, the length of the ABC will be constant. therefore, 75 cm. and the line AB and BC will together form the line ABC(AC). thus, we can write it as,

AB + BC = AC

substituting the value of AB from equation 1 we get in equation 2,

4(BC) + BC = AC

5(BC) = AC

5(BC) = 75

[tex]\bold{(BC)=\dfrac{75}{5}}[/tex]

BC = 15 cm.

Substituting the value of BC in equation 1, we get,

AB = 4(BC)

AB = 4 x 15

AB = 60 cm

Hence, the length of line AB is 60 cms.

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Answer: B

Step-by-step explanation:

 2x - 3y =  -7   →   2(2x - 3y = -7)   →   4x - 6y = -14

-4x + 6y = -10  →   1(-4x + 6y = -10) → -4x + 6y = -10

                                                                    0  = -24

                                                                     FALSE

Since this makes a false statement, there are no solutions