Ayden had a goal of finishing painting at least 80% of the 500 square meters of a houses walls by today. He finishes 415 meters today. Did ayden meet his goal? How many square meters less than his goal did he paint?

Answers

Answer 1
Yes no square meters less 15 more

Related Questions

The table shows a proportional relationship.

2 2.8


4 5.6


6 8.4


8 11.2

Complete the equation that represents the table. Enter your answer as a decimal in the box.

y = ____ x

Answers

If the left-handed side column of the table is the values of y and the other column is x,
y= 0.7142857143x
Whereas,If the left-handed side column of the table is the values of x and the other column is y,
y=1.4x

Answer:

1.4

Step-by-step explanation:

im 100% right here is the proof

LAST ONE I PROMISE AND THIS IS WORTH 98 POINTS HELP ME AND THEY'RE YOURS!!!!

Answers

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:Part A. the slope = 2.5 and y-intercept = 2.5Part B. 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


Please help! I only have 4 questions left!!!

Which set of angle measures could be the measures of the interior angles of a triangle?
A) 60°, 45°, and 70°
B) 30°, 85°, and 25°
C) 55°, 90°, and 35°
D) 110°, 15°, and 45°

Answers

C because the angle needs to add up to 180 degrees

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

⇒ 55°, 90°, and 35°

What is mean by Triangle?

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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Florida has 8 less than 5 times the number of counties ,a, in Arizona. Georgia has 25 more than twice the number of counties, f, in Florida. Write an expression for the number of counties in Florida. Write an expression for the number of counties in Georgia.Arizona has 15 counties. How many do Florida and Georgia have? Number of counties Florida has: Number of counties Georgia has:

Answers

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


Final answer:

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

Explanation:

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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What is √64/100 in simplified form? Show your work.

Answers

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

Why are units of area inappropriate to measure volume? A) Units of area are too small to measure volumes. B) Units of area are too large to measure volumes. C) Area is a two-dimensional attribute and volume is a three-dimensional attribute. D) Area is a three-dimensional attribute and volume is a two-dimensional attribute.

Answers

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

Solve by multiplication and addition. Show each step of your work. 2x – 3y = 18 4x + y = 8 Please help me!!!! I am giving 50 points!

Answers

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 )


2x - 3y = 18
4x + y = 8
/*multiply first eqtn by -2

-4x + 6y = -36
4x + y = 8
/*add the eqtns

-4x + 6y + 4x + y = -36 + 8
7y = -28
y = -4

Plug in the y value into either of the first two eqtns:

2x - 3*(-4) = 18
2x +12 = 18
2x = 18 - 12
2x = 6
x = 3

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

The perimeter of the base of a pentagonal prism is 45 cm. what is the width of the rectangular side of that prism?

Answers

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:

Point E is located at (−2, 4) and point F is located at (5, 10) . What are the coordinates of the point that partitions the directed line segment EF¯¯¯¯¯ in a 7:3 ratio?

Answers

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

Please answer this if you know 100% how to do it

The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3.

Answers

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



Determine which of the following exponential formula(s) represents II and IV in the graph above.

Answers

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

Given that the lines are parallel, what angles are congruent to angle 1?



Angle 2

Angle 5

All of the above

None of the above

Answers

Answer:

All of the above

Step-by-step explanation:

<1 = <2  Alternate interior angles

<1 = <5   Corresponding angles

can anybody help me fill in the blanks??

Answers

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


Which of the following statements best describes an angle that is in standard​ position? A. 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 negative ​ x-axis. B. 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​ y-axis. C. 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 negative​ y-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​ x-axis.

Answers

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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Which of the following sets represent A ∪ B?


{6, 12}
{2, 3, 4, 6, 8, 9, 10, 12}
{1, 5, 7, 11}
{2, 3, 4, 8, 9, 10}

Answers

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.

PLEASE HELP ASAP 25 POINTS

Answers

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


Which two answers are correct ?

Answers

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.

Joshua and his four friends each have 1/2 package of crackers. HOW many packages of crackers do they have in all

Answers

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


Calculate the shaded area.
Give your answer to 3 significant figures and state it’s units.

Answers

Final answer:

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.

Explanation:

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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Which expression is NOT equivalent to the other three? A) −9 − 7n + 16n B) 9(n − 9) Eliminate C) n − 9 + 8n D) 9n − 9

Answers

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:

Caitlin went to the store to buy school clothes .She had a store credit from from a previous return in the amount of $39.58 if she bought 4 of the same style shirt in different colors and spent atotal of $52.22 after the store credit was taken off her total, what was the price of each shirt she bought?

Answers

52.22
-39.58
---------
13.64
÷ 4
---------
3.41

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.

A motorist traveled 250 miles on 11 gallons of gas. With the same vehicle, about how far could he go on 16 gallons of gas? Round to the nearest tenth.

Answers

Given:

A motorist traveled 250 miles on 11 gallons of gas.

To Find:

In the same vehicle, the distance that can be traveled in 16 gallons.

Answer:

Rounding to the nearest tenth, the distance traveled on 16 gallons of gas is 363.5 miles.

Step-by-step explanation:

We first find the number of miles that can be traveled on 1 mile of gas.

We do this by using the unitary method.

Given that in 11 gallons, 250 miles can be traveled in a certain vehicle.

So in 1 gallon, 250 ÷ 11 miles can be traveled. This is roughly equal to 22.72.

Next we will calculate how much distance he can go in 16 gallons. We multiply the distance traveled in 1 gallon by 16.

That is, in  16 gallons, the number of miles that can be traveled is 22.72 x 16 = 363.52.

Rounding to the nearest tenth, the distance traveled on 16 gallons of gas is 363.5 miles.

Answer:363.6miles

Step-by-step explanation:

Which set of lengths could NOT be the sides of a triangle?A) 9 inches, 12 inches, 21 inches) 9 inches, 11 inches, 12 inches) 12 inches, 14 inches, 16 inches) 16 inches, 18 inches, 25 inches. HURRY help for brainiest

Answers

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 :(

Answer: A) 9 in, 12 in, 21 in.

50 points.

Right triangle ABC has its right angle at C.

AC=3 and BC=4.

Which trigonometric ratios are correct?

Select each correct answer.


1.) sinB= 3/5

2.) tanB= 4/3

3.) cosA= 4/5

4.) sinA= 4/5

5.) tanA= 4/3

Answers

sinB= 3/5 is correct

tanA= 4/3 is correct

and sinA= 4/5 is correct

hope this helps ^


All of them except
2 and 3

Hope it helps

There are 3 girls and 4 boys in the Reese's family. Mr Reese's booth 6 1/2 pounds of candy. How much will each kid get

Answers

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

Kelly's basketball team made a total of 33 two point and three point baskets in their game last week. If her team scored a total of 72 points, how many two point baskets did they make

Answers

Set up a system of equations

x + y = 33
2x + 3y = 72

If we change x + y = 33 into x = 33 - y we can plug this in as x in the second equation

2(33 - y) + 3y = 72
66 - 2y + 3y = 72
66 + y = 72
y = 6

Now plug in y into one of the original equations

x + 6 = 33
x = 27

27 two-point baskets made

What is the approximate solution to the equation 2t=38 ? 0.1906 3.6380 5.2479 19.0000

Answers

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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You can buy 20 ounces of cereal for 4.40$ or 16 ounces of the same brand for 3.68$ which is the better buy?

Answers

To find the better buy, we can find how much they cost for an ounce and find it by comparison.

First option:

20/4.4

=$4.545454...

Second option:

16/3.68

=$4.3478...

As $4.3478..< $4.5454.., the second option is cheaper and therefore is the better buy.

Hope it helps!

The 20 ounces for $4.40 is the better deal at $0.22 per ounce, compared to the 16 ounces for $3.68 at $0.23 per ounce.

To determine which cereal is the better buy, we need to calculate the cost per ounce for each option. For the first option of 20 ounces at $4.40, the cost per ounce is:

[tex]\frac{0.44}{20} = 0.22 ~per ounce[/tex]

For the second option of 16 ounces at $3.68, the cost per ounce is:

[tex]\frac{3.68}{16} = 0.23[/tex]

Comparing these two costs per ounce, the 20 ounces for $4.40 is the better buy because it has a lower cost per ounce.

You and your friend are both saving your allowance for your summer vacation you have $48.50 in the bank

Answers

Answer:

B

Step-by-step explanation:


use the given to prove that m<cwe=m<fzh

Answers

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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