Which of the following designs is the strongest in terms of its ability to minimize some threats to internal validity?

pre and post-test with comparison group and randomization to group.

Posttest only.

Pretest only

pre and posttest with no comparison group.

the upper estimate for the total amount of water that leaked out using five rectangles is 90.8 gallons (rounded to one decimal place).

Approximating the length of curves and other approximations, as well as the area of functions or lines on a graph, is a highly popular application.

from the question:

The range [0, 10] will be split into five equal-width subranges using five rectangles:

Δt = (10 - 0) / 5 = 2

Upper estimate = Δt [r(0) + r(2) + r(4) + r(6) + r(8)]

Upper estimate = 2 [12.0 + 10.6 + 8.8 + 8.0 + 6.0]

Upper estimate = 2 [45.4]

Upper estimate = 90.8

Thus, 90.8 gallons is the highest estimate for the total volume of water that flowed out utilizing five rectangles (rounded to one decimal place).

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From the given side pairs, DA ≅  ES is the pair which is not necessarily congruent.

When two sides in geometry are the same length, they are said to be congruent. For instance, a square has four sides that are congruent because it has four equal-length sides.

Given that, ΔDAL ≅ ΔEKS

Now we need to find the pair which is not necessarily congruent:

Option A: AL ≅  KS is congruent. Since given that the angles are equal.

Option B: DL ≅  ES is congruent. They are ends of the shapes.

Option C: DA ≅  EK is congruent. Since they are following the congruence laws.

From the list given,

Option D: DA ≅  ES  is not necessarily congruent. So option D is the correct answer for the given sum.

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The most likely number of people who visited the library zero times last summer based on Amy's survey is 632 people

To find the number of people who were most likely not to visit the library, you need to find the percentage of people who did not visit the library from Amy's survey.

Percentage of males:                                           Percentage of females:

= 14 / 25                                                                 = 17 / 25

= 56%                                                                     = 68%

From the population of 1,000, the males and females who went to the library zero times would be:

Number of males:                                           Percentage of females:

= 56 % x 400                                                  = 68 % x 600

= 224 males                                                    = 408 females

Total number of people :

= 224 + 408

= 632 people

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After 1 week(n=1) : Total interest =$ 1

After 2 weeks(n=2) : Total interest = $ [tex]2^2-1=3[/tex]

After 3 weeks (n=3): Total interest = $ [tex]2^3-1=7[/tex]

After 4 weeks(n=4) : Total interest = $ [tex]2^4-1=15[/tex]

After 5 weeks (n=5): Total interest = $ [tex]2^5-1=51[/tex]

After 6 weeks (n=6): Total interest = $ [tex]2^6-1=63[/tex]

The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function. A process that determines the amount of change in one item divided by the corresponding amount of change in another is known as an average rate of change function.

Step-by-step explanation:

Consider that your relative is lending you the full $500 to purchase the upgraded smartphone. You consent to repay him with interest over a seven-day period, beginning with a $1 payment.

The interest doubles to $2 in the second week, then doubles once more to $4 in the third week. The demand continues to increase weekly as this pattern holds. As a result, you can compute the total interest you would need to pay after n weeks as follows:

Total interest = $1 + $2 + $4 + $8  + $ [tex]2^(^n^-^2^)[/tex]+ $ [tex]2^(^n^-^1^)[/tex]

This is a geometric series with a common ratio of 2 and a first term of $1. We can simplify this equation by using the formula for the sum of a geometric series, which is as follows:

Simplifying further, we get:

Total interest = $[tex]2^n-1[/tex]

Now, let's see how much interest you would have to pay for different values of n:

After 1 week(n=1) : Total interest =$ 1

After 2 weeks(n=2) : Total interest = $ [tex]2^2-1=3[/tex]

After 3 weeks (n=3): Total interest = $ [tex]2^3-1=7[/tex]

After 4 weeks(n=4) : Total interest = $ [tex]2^4-1=15[/tex]

After 5 weeks (n=5): Total interest = $ [tex]2^5-1=51[/tex]

After 6 weeks (n=6): Total interest = $ [tex]2^6-1=63[/tex]

You can see that the amount of interest you would have to pay doubles every week and increases very rapidly. You would be required to pay a total of $63 in interest after just 6 weeks, which is more than 12% of the phone's price. Given the high-interest rate, this would not be a wise financial decision for you in the long term.

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Answer:

There are 9 students in each group for a total of 9 groups.

Step-by-step explanation:

divide 72 and 9 and that gives you how many students need to be in each group!

A. The values for quadratic equation  a = 1 b = -8 c = 5; B. x² - 8x = (x - 4) - 16 ; C. x² - 8x + (4)² = (4)² - 16 = 0.

A quadratic equation is a type of algebraic equation that involves a variable raised to the second power, or squared. It is written in the form of ax² + bx + c = 0, where a, b, and c are constants and x is the variable.

Quadratic equations have many applications in various fields, such as physics, engineering, and economics. They can be used to model and solve problems involving motion, velocity, acceleration, and optimization.

The discriminant, b² - 4ac, is used to determine the nature of the roots of the quadratic equation. If the discriminant is positive, the quadratic equation has two real and distinct roots. If the discriminant is zero, the quadratic equation has one real and repeated root. If the discriminant is negative, the quadratic equation has two complex roots.

A. a = 1

b = -8

c = 5

B. x² - 8x = (x - 4) - 16

C. x² - 8x + (4)² = (4)² - 16 = 0

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Answer:

12

Step-by-step explanation:

25 = 30

10 = X

cross multiply

25x = 30×10

X=300/25

X=12

We can say that the tree's height increased by 12.5% over the course of the six-week experiment.

To calculate the percent increase in the tree's height, we need to find the difference between its new height and its old height, and then express that difference as a percentage of the old height.

We start with the formula:

percent increase = (new value - old value) / old value * 100%

In this case, the old value is the height of the tree at the beginning of the experiment, which is 32 inches. The new value is the height of the tree six weeks later, which is 36 inches.

So, plugging in those values, we get:

percent increase = (36 - 32) / 32 * 100%

Simplifying this expression gives us:

percent increase = 4 / 32 * 100%

And when we evaluate that expression, we get:

percent increase = 12.5%

Therefore, the percent increase in the tree's height is 12.5%.

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a. F is concave up on (-∞, 0) ∪ (6, ∞) and concave down on (0, 6).

b. The inflection points are (0, -2) and (6, -226).

a) To determine the intervals of concavity, we need to find the second derivative of f:

f(x) = (x⁴)/4-3x³-2f'(x) = x³ - 9x²f''(x) = 3x² - 18x

The second derivative f''(x) is a polynomial. We need to find the values of x for which f''(x) is zero or undefined.3x² - 18x = 3x(x - 6)f''(x) = 0 when x = 0 or x = 6.

Now we can determine the intervals of concavity by testing the sign of f''(x) in each interval:

Interval (-∞, 0):f''(-1) = 3(-1)² - 18(-1) = 21 > 0, so f is concave up on (-∞, 0).

Interval (0, 6):f''(1) = 3(1)² - 18(1) = -15 < 0, so f is concave down on (0, 6).

Interval (6, ∞):f''(7) = 3(7)² - 18(7) = 63 > 0, so f is concave up on (6, ∞).

Therefore, f is concave up on (-∞, 0) ∪ (6, ∞) and concave down on (0, 6).

B. The inflection points occur where the concavity changes, which are at x = 0 and x = 6.

The ordered pairs for the inflection points are (0, f(0)) and (6, f(6)).

f(0) = -2 and f(6) = -226, so the inflection points are (0, -2) and (6, -226).

c) To find the critical points, we need to find the values of x for which f'(x) = 0 or f'(x) is undefined:

f'(x) = x³ - 9x² = x²(x - 9)

f'(x) = 0

when x = 0 or x = 9.f''(0) = 0,

so we can use the First Derivative Test to determine that f has a relative maximum at x = 0.f''(9) = 36 &

gt; 0 so we can use the Second Derivative Test to determine that f has a relative minimum at x = 9.

Therefore, the relative extrema are:

Relative maximum at x = 0.

Relative minimum at x = 9.

d) To find where f'(x) has relative maxima and minima, we need to find the values of x for which f''(x) = 0 or f''(x) is undefined:

f''(x) = 3x² - 18x = 3x(x - 6)f''(x) = 0 when x = 0 or x = 6.

We can use the First Derivative Test to determine the nature of the relative extrema:

For x &

lt; 0, f'(x) is negative, then f'(x) is increasing from negative to zero as x approaches 0 from the left.

Therefore, f'(x) has a relative minimum at x = 0.

For 0 < x < 6, f'(x) is positive, then f'(x) is increasing from zero to positive as x increases.

Therefore, f'(x) has a relative maximum at x > 0.

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a. F is concave up on (-∞, 0) ∪ (6, ∞) and concave down on (0, 6).

b. The inflection points are (0, -2) and (6, -226).

How to determine the intervals of concavity?

a) To determine the intervals of concavity, we need to find the second derivative of f:

f(x) = (x⁴)/4-3x³-2f'(x) = x³ - 9x²f''(x) = 3x² - 18x

The second derivative f''(x) is a polynomial. We need to find the values of x for which f''(x) is zero or undefined.3x² - 18x = 3x(x - 6)f''(x) = 0 when x = 0 or x = 6.

Now we can determine the intervals of concavity by testing the sign of f''(x) in each interval:

Interval (-∞, 0):f''(-1) = 3(-1)² - 18(-1) = 21 > 0, so f is concave up on (-∞, 0).

Interval (0, 6):f''(1) = 3(1)² - 18(1) = -15 < 0, so f is concave down on (0, 6).

Interval (6, ∞):f''(7) = 3(7)² - 18(7) = 63 > 0, so f is concave up on (6, ∞).

Therefore, f is concave up on (-∞, 0) ∪ (6, ∞) and concave down on (0, 6).

B. The inflection points occur where the concavity changes, which are at x = 0 and x = 6.

The ordered pairs for the inflection points are (0, f(0)) and (6, f(6)).

f(0) = -2 and f(6) = -226, so the inflection points are (0, -2) and (6, -226).

c) To find the critical points, we need to find the values of x for which f'(x) = 0 or f'(x) is undefined:

f'(x) = x³ - 9x² = x²(x - 9)

f'(x) = 0

when x = 0 or x = 9.f''(0) = 0,

so we can use the First Derivative Test to determine that f has a relative maximum at x = 0.f''(9) = 36 &

gt; 0 so we can use the Second Derivative Test to determine that f has a relative minimum at x = 9.

Therefore, the relative extrema are:

Relative maximum at x = 0.

Relative minimum at x = 9.

d) To find where f'(x) has relative maxima and minima, we need to find the values of x for which f''(x) = 0 or f''(x) is undefined:

f''(x) = 3x² - 18x = 3x(x - 6)f''(x) = 0 when x = 0 or x = 6.

We can use the First Derivative Test to determine the nature of the relative extrema:

For x &

lt; 0, f'(x) is negative, then f'(x) is increasing from negative to zero as x approaches 0 from the left.

Therefore, f'(x) has a relative minimum at x = 0.

For 0 < x < 6, f'(x) is positive, then f'(x) is increasing from zero to positive as x increases.

Therefore, f'(x) has a relative maximum at x > 0.

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Penny needs 7 adults for 56 children, if the ratio of adults to children is 1:8.

In a ratio, two or more quantities are compared. The terms "a:b" or "a/b" are frequently used to denote ratios, where a and b represent the two values being compared. For instance, a class may have a 3:5 ratio between the number of males and girls. By dividing both components by their largest common factor, ratios can be made simpler. Ratios can also be written as fractions or percentages. Several fields, including banking, engineering, and statistics, employ ratios often.

Given that, the ratio of adults to children is 1:8.

Thus, for 56 children the number of adults should be:

If the ratio of adults to children is 1:8, then for every adult there are 8 children. So, if Penny has 56 children at the nursery, the number of adults she needs can be found by dividing 56 by 8:

Number of adults = 56/8 = 7

Therefore, Penny needs 7 adults for 56 children.

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The equivalent units of labor and overhead produced for the month of July  total number of equivalent units of labor and overhead was equal to (30%*units in beginning WIP) + (100%*units completed) + (50%*units started during July).

Aves Treats uses process costing, which means that the costs associated with direct materials, labor, and overhead are all added evenly throughout the production process. This means that the costs of these resources are allocated to the units produced in a given month based on their level of completion.  that were in the beginning work in process, the number of units that were completed during the month, and the number of units that were started during the month. The number of equivalent units of labor and overhead was equal to (30%*units in beginning WIP) + (100%*units completed) + (50%*units started during July). This calculation takes into account the fact that the units remaining in work in process at the end of At the end of July, the apartments still under construction were 50% finished, and by the end of June, they were 30% finished. This makes it possible to depict the overall expenses of the labor and overhead employed in the production process more accurately.

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The value for the limits for the function f(x) is -

x → -1, then f(x) = -1

x → 0, then f(x) = -2

x → 1, then f(x) = -1

x → 2, then f(x) = DNE

x → ∞, then f(x) = ∞

What is limit?

A limit in mathematics is a point at which a function approaches the outcome for the specified input values. Calculus and mathematical analysis depend on limits, which are also used to determine integrals, derivatives, and continuity.

The piecewise graph of a function f(x) is given.

In the graph it can be seen that when x approaches -1, the value of f(x) is also -1.

In the graph it can be seen that when x approaches 0, the value of f(x) is also -2.

In the graph it can be seen that when x approaches 1, the value of f(x) is also -1.

In the graph it can be seen that when x approaches 2, then the limit does not exist.

In the graph it can be seen that when x approaches ∞, the value of f(x) is also infinite.

Therefore, the limit values are obtained for the function f(x).

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Answer:

Your answer is "A".

Step-by-step explanation:

Basically, your question is asking for the side lengths after the transformation. However, the transformation it would undergo does not change the size of the rectangle, it only changes its position on the graph. This means, all you need to do is count the number of squares from one point to another.

From point A to B, there are 3 squares. From point B to C, there are 5 squares. Therefore, your answer is A.

Answer:

Laura bought approximately 5 pounds of coffee with her gift card.

The equation of the line passing through the point (−6, 3) and perpendicular to the line connecting the points (0, 1) and (1, 0) is y = x + 9.

How to solve slope equation ?

To solve a slope equation, you need to have two points on the line, and then you can use the slope formula to find the slope of the line. The slope formula is:

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

where (x1, y1) and (x2, y2) are the coordinates of the two points on the line.

Once you have found the slope of the line, you can use it along with one of the points on the line to write the equation of the line in point-slope form, which is:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope you just calculated.

To convert the equation to slope-intercept form, which is y = mx + b, where b is the y-intercept of the line, you need to rearrange the equation by solving for y. This can be done by adding y1 to both sides of the equation and then simplifying.

Once you have the equation in slope-intercept form, you can easily graph the line and find other points on the line, or use the equation to solve problems related to the line.

To find the equation of the line passing through the point (−6, 3) and perpendicular to the line connecting the points (0, 1) and (1, 0), we can follow these steps:

Step 1: Find the slope of the line connecting the points (0, 1) and (1, 0).

The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:

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

Using this formula, we can find the slope of the line connecting (0, 1) and (1, 0) as:

m = (0 - 1) / (1 - 0) = -1

Step 2: Find the slope of the line perpendicular to the line connecting (0, 1) and (1, 0).

The slope of a line perpendicular to a line with slope m is the negative reciprocal of m. That is:

slope of perpendicular line = -1/m

Substituting m = -1, we get:

slope of perpendicular line = -1/(-1) = 1

Step 3: Use the point-slope form of the equation of a line to find the equation of the line passing through (−6, 3) with slope 1.

The point-slope form of the equation of a line passing through a point (x1, y1) with slope m is:

y - y1 = m(x - x1)

Substituting the values of (x1, y1) = (−6, 3) and m = 1, we get:

y - 3 = 1(x - (-6))

Simplifying and rearranging, we get:

y - 3 = x + 6

Adding 3 to both sides, we get the final equation:

y = x + 9

Therefore, the equation of the line passing through the point (−6, 3) and perpendicular to the line connecting the points (0, 1) and (1, 0) is y = x + 9.

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It is false that the more beautiful you are, the more problems you will face.

Beauty is a human concept that refers to the attraction or sensory pleasure that an individual or object causes to a person. Generally, beauty is associated with physical beauty, that is to say that an element is "pretty" to see it. However, this concept has developed different perspectives that refer to different aspects of an individual as her personality.

In accordance with the above, it cannot be inferred that beauty is a cause of problems because this concept is purely subjective, so we cannot generalize beauty in society and therefore we could not conclude that beauty causes problems for people.

Note: This question is incomplete. Here is the complete information:

True or False

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Answer:

-2x + 3

Step-by-step explanation:

Like terms are categorized by the variables (letters) beside them.

It is a pretty simple process. To make it easier, first group the "like terms" together:

( 3x - 5x ) + ( + 7 - 4 )

Then solve the parenthesis:

( -2x ) + ( 3 )

That is it!

Answer:

m<6 = 119

Step-by-step explanation:

m<4 + m<6 = 180 (Linear Pair)

61 + m<6 = 180

=> m<6 = 180 - 61

=> m<6 = 119

Answer: 18.8cm

Step-by-step explanation:

Answer:

(3,-2)

Step-by-step explanation:

We can do this by plugging in all of your points to your formula and seeing if both sides match. After some math, I have discovered that (3,-2) is the correct solution.

May I please have brainliest? I put a lot of time and effort into these answer, so I would really appreciate it!

The area οf the expanded map is 24 square inches, and its perimeter is 22 inches.

This is the bοundary οr cοntοur length οf a 2D geοmetric shape.

Depending οn their size, multiple shapes may have the same circumference. Fοr example, imagine a triangle made up οf wires οf length L.

The same wire can be used tο create a square if all sides are the same length.

The length cοvered by the perimeter οf the shape is called the perimeter. Therefοre, the units οf circumference are the same as the units οf length.

As we can say, the surrοundings are οne-dimensiοnal. As a result, yοu can measure in meters, kilοmeters, millimeters, etc.

Inches, feet, yards, and miles are οther glοbally recοgnized units οf circumference measurement.

P' = 2(3 in) + 2(8 in) = 6 in + 16 in = 22 in

and the area is:

A' = 3 in x 8 in = 24 in²

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The solution of the given system of linear equation is (4,2) .

What is substitution method ?

The substitution method is a method of solving a system of two equations with two variables by solving one of the equations for one variable and substituting that expression into the other equation to solve for the other variable. This method can be used to solve systems of linear equations, where each equation represents a line in a two-dimensional coordinate system. The solution to the system represents the point where the two lines intersect.

Finding the solution using substitution method :

We can solve for one variable in terms of the other in one equation and substitute it into the other equation.

For example, we can solve for y in terms of x in the first equation:

[tex]y = -x + 6[/tex]

Then substitute this expression for y into the second equation:

[tex]({3}/{4x} )- 1 = y[/tex]

Substitute [tex]y = -x + 6:[/tex]

[tex](3/4x) - 1 = -x + 6[/tex]

Solve for x:

[tex](3/4x )+ x = 7[/tex]

[tex]x = 4[/tex]

Substitute [tex]x = 4[/tex] into either equation to find y:

[tex]y = -x + 6 = -4 + 6 = 2[/tex]

Therefore, the solution is (4, 2).

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The amount of loan that Molly needs after reducing the down payment and cash allowance is $38190.

What is a loan?

In a loan, a certain quantity of money is given to another person in exchange for the value or main amount being repaid at a later date. In many circumstances, the lender increases the principal value by adding interest or finance charges, which the borrower must pay in addition to the principal sum.

Loans may be made for a predetermined, one-time sum or as an open-ended line of credit with a cap of up to a certain amount. In addition to secured and unsecured loans, there are also commercial and personal lending options.

Given,

The amount of cash Molly saved for the purchase,

Down payment = $4500

The dealer's cash allowance = $4300

It is said that the dealer's cash allowance will come straight from her total.

Then the amount of loan she needs = 46990 - 4500 - 4300

                                                    = $38190

Therefore the amount of loan that Molly needs after reducing the down payment and cash allowance is $38190.

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Answer:

I used Desmos Graphing Calculator  

Step-by-step explanation:

This isosceles trapezoid's median dimension is 10 inches.

from the question:

The two bases of the trapezoid have measures 8 inches and 12 inches. We can use the formula for the area of a trapezoid to find the length of the median:

Area of trapezoid = (sum of bases) x (height) / 2

We can rearrange this formula to solve for the height:

height = 2 x (Area of the trapezoid) / (sum of bases)

The area of the trapezoid is:

Area of trapezoid = (1/2) x (sum of bases) x (height)

Substituting the expressions for the bases and height, we get:

Area of trapezoid = (1/2) x (8 + 12) x (height) = 10h

So, we have:

10h = (1/2) x (8 + 12) x (h)

10h = 10h

Therefore, the equation is true for any value of h, including the height that we are interested in.

Now, to find the length of the median, we need to find the length of the segment that connects the midpoints of the two non-parallel sides. Since the trapezoid is isosceles, the length of this segment is equal to the average of the lengths of the two bases:

median = (8 + 12) / 2 = 10

Therefore, the measure of the median of the trapezoid is 10 inches.

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For a loan of $7500 over 5 years at 6.5% fixed APR, the total amount paid is $8673. The percentage of the total amount paid that goes towards the principal is 84.32% and the percentage that goes towards interest is 13.68%.

To calculate the percentage of the total amount paid that goes towards the principal and interest, we need to first calculate the total amount to be paid over the 5 year period. We can use the formula for the present value of an annuity to calculate this:

[tex]PV = PMT \times \frac{(1 - (1 + r/n)^{(-nt)})}{(r/n)}[/tex]

Where,

PV is the present value (loan amount),

PMT is the monthly payment,

r is the annual interest rate (6.5%),

n is the number of times interest is compounded per year (12 for monthly), and

t is the number of years (5).

First, we need to calculate the monthly interest rate:

r/monthly = r/12

                = 0.065/12

                = 0.00541667

Now we can calculate the monthly payment:

[tex]PMT = PV \times \frac{(r/n)}{(1 - (1 + r/n)^{(-nt)})}[/tex]

         [tex]= \frac{7500 \times (0.00541667)}{(1 - (1 + 0.00541667)^{(-12 \times 5)})}[/tex]

         = $144.55

So the total amount paid over the 5 year period is:

Total paid = PMT x n x t

                 = $144.55 x 12 x 5

                 = $8,673.00

To find the percentage of the total amount paid that goes towards the principal and interest, we can use the following formula:

Principal % = (Principal / Total paid) x 100%

Interest % = (Interest / Total paid) x 100%

The interest for each payment can be calculated by subtracting the principal from the payment, and the principal can be calculated by subtracting the interest from the original loan amount. Since the interest and principal change with each payment, we need to calculate them for each individual payment and then sum them up over the 5 year period.

We can use a loan amortization schedule to calculate the principal and interest for each payment. Here is the amortization schedule for this loan:

Year Payment Principal Interest Balance

The total interest paid over the 5 year period is the sum of the interest for each payment, which is $1,187.81. The total principal paid over the 5 year period is the loan amount minus the final balance, which is $7,312.19.

So the percentage of the total amount paid that goes towards the principal is:

Principal % = (7,312.19 / 8,673.00) x 100%

                  = 84.32%

And the percentage of the total amount paid that goes towards interest is:

Interest % = (1,187.81 / 8,673.00) x 100%

                = 13.68%

Therefore, 84.32% of the total amount paid is for the principal, and 13.68% is for interest.

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The fractiοn οf the plants had yellοw blοssοms with dark green leaves is 1/6

A fractiοn is divided intο additiοnal equal pieces when it is divided intο fractiοns. Fοr instance, if yοu had three-fοurths οf a pizza remaining and divided each slice intο twο pieces, yοu wοuld have received six slices, which wοuld be equivalent tο six-eighths οf the entire pizza.

The fractiοn οf the plants had yellοw blοssοms with dark green leaves

= 2/4 the οf 1/3

= 2/4 * 1/3

=1/2 *1/3

=1/6

The fractiοn οf the plants had yellοw blοssοms with dark green leaves is 1/6

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Answer:

x = 10

Step-by-step explanation:

if BC and DE are parallel then the sides of the triangle are divided proportionally, that is

[tex]\frac{CE}{AE}[/tex] = [tex]\frac{BD}{AD}[/tex] ( substitute values )

[tex]\frac{x-2}{16}[/tex] = [tex]\frac{x-3}{14}[/tex] ( cross- multiply )

16(x - 3) = 14(x - 2) ← distribute parenthesis

16x - 48 = 14x - 28 ( subtract 14x from both sides )

2x - 48 = - 28 ( add 48 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

then for BC and DE to be parallel, x has the value x = 10