Given ABCE is a rectangle, find the length of AD

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Answer:

185/9

Step-by-step explanation:

20 5/9

Multiply 20 by the 9 (the denominator), and you''ll get 180.

Add the 5 (the numerator) to 180, and you'll get 185.

Then, place 185 over the denominator which is 9 and you get 185/9!

Answer:

[tex]\frac{185}{9}[/tex]

Step-by-step explanation:

This is the answer because:

1) The formula of changing mixed fractions to improper fractions is denominator times the whole number plus the numerator

2) Denominator = 9

Whole number = 20

Numerator = 5

9 x 20 + 5 = 185

Therefore, the answer is [tex]\frac{185}{9}[/tex]

Hope this helps!

Answer:

See attachment for the figures drawn for each question.

10. x = 3; AB = 11

11. x = 2; AB = 6

Step-by-step explanation:

10. AC = 10x + 2

AB = 2x + 5

BC = 4x + 9

AB + BC = AC (segment addition postulate)

(2x + 5) + (4x + 9) = 10x + 2 (substitution)

The equation above is what we would use to solve the problem as follows:

2x + 5 + 4x + 9 = 10x + 2

Combine like terms

6x + 14 = 10x + 2

6x - 10x = -14 + 2

-4x = -12

Divide both sides by -4

x = 3

AB = 2x + 5

Plug in the value of x

AB = 2(3) + 5 = 6 + 5

AB = 11

11. AB = 3x

BC = x - 6

AC = 8x - 14

AB + BC = AC (segment addition theorem)

3x + (x - 6) = 8x - 14 (substitution)

Use the equation to solve for x as follows:

3x + x - 6 = 8x - 14

Collect like terms

4x - 6 = 8x - 14

4x - 8x = 6 - 14

-4x = -8

x = 2 (dividing both sides by -4)

AB = 3x

AB = 3(2)

AB = 6

Answer:

The coordinates of S is (-2,2)

Answer:

{ (-2,2) , (0,2) , (7,2) , (11,2) }

Step-by-step explanation:

Your x variable cannot repeat.

Answer:

Step-by-step explanation:

Parameters:

As square has all equal sides in  his shape.

then length and width will be equal.

parameters will be

LENGTH,LENGTH,WIDTH,WIDTH

Area:

area of square is known as A= a^2

a= parameter of square (as all parameters are equal,you put one parameter to find area of square)

The required perimeter of the square is 4 times side and the area of the square is ( side ) ².

Given that,
To determine the perimeter and the area of the square.

A square is defined as it is a four-sided polygon, having angles of 90° on its vertices, and the length of all four sides is equal.

Perimeter is the measure of the figure on its circumference or it is overall boundary length of the figures.

Here,
The perimeter of the square is given as the sum of all sides,
= side + side + side + side
= 4 x side

The area of the square is multiplied of two adjacent side
= side x side
= ( side )²

Thus, the required perimeter of the square is 4 times side and the area of the square is (side)².

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Answer:

The square root of a positive number can be a negative or positive value.

Step-by-step explanation:

Hey there!

Yes

Is 4 - 4x and 4(1 - x) equivalent expressions? Why or why not?

If you want to know whether they are equivalent, let's first find the value of both of them.

[tex]4-4x[/tex]

[tex]-4x+4[/tex]

[tex]4(1-x)[/tex]

Let's add parenthesis to 4 and (1-x) and add negative to x.

[tex](4)(1+-x)[/tex]

Now separate all with parenthesis.

[tex](4)(1)+(4)(-x)=4-4x\\-4x+4(ANSWER)[/tex]

Since both had the same value, they are equivalent.

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

$2050

$20000×1.05×1.05 =

= $20000×1.05²

= $20000×1.1025

= $22050

$22050 - $20000 = $2050

The interest earned for a 2-year period is $2050

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given that, Ms Tabanelli deposits $20,000 in an account that has a 5% annual interest rate compound yearly, she does not add to or withdraw from the account for 2 years,

We know that,

[tex]A = P(1+r)^t[/tex]

A = amount

P = principal

r = rate

t = time

Putting all the values in the formula,

A = 20000(1+0.05)²

A = 20000(1.05)²

A = 20000×1.1025

A = 22050

Interest earned = Amount - Principal

= 22050 - 20000

= 2050

Hence, the interest earned for a 2-year period is $2050

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Answer:

4.53 * 10⁹

Step-by-step explanation:

4530000000 = 4.53 * 10⁹

Answer:

answer is 5

Step-by-step explanation:

I used a calculator

Answer:

x= -2

Step-by-step explanation:

6x-3 = 5x-5

6x-5x=-5+3

x= -2

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Answer:

  20%

Step-by-step explanation:

The percentage change can be found from ...

  % change = ((new value)/(reference value) -1) × 100%

  = (240/200 -1) × 100%

  = 0.20 × 100%

  = 20%

240 is an increase of 20% from 200.

Answer:

a) 9.62m (3 s.f.)

b) 2.58m (3 s.f.)

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.

Step-by-step explanation:

The given inequality is 3b + 8 ≥ 14

We need to solve the given inequality

Step 1.

Subtract 8 to the both sides of the inequality

3b + 8 - 8 ≥ 14 -8

3b ≥ 6

Dividing both sides by 3

b ≥ 2

The value of b is greater than and equal to 2.

Hence, the correct option is (a).  

Answer:

8

Step-by-step explanation:

Do |7 - 9| first, and you get -2, however since it is absolute value, you use the positive version, making it two. Now you have 5|2|-2. Multiply 5*2=10. Then subtract 2.

Answer:

7.

Step-by-step explanation:

28 = 2^2 * 7.

To multiply 28 to get a perfect square, we can multiply it by 7 to get 2^2 * 7^2, which is 14 squared.

Let the smallest integer equal x - 1, the next one equal x, and the last one equal x + 1.

4(x-1) = 3(x-1) + 6

x-1 = 5

x = 6

The smallest integer is x - 1, which is equal to 5. Thus, the smallest of the three integers is 5.

Answer:

4) 5

Step-by-step explanation:

3x-x+2=12

First, you combine similar terms, so 3x-x which is 2x.

Second, you subtract 2 on both sides which is going to give you 2x=10.

Finally, you divide by 2 on both sides, so the final answer is going to be x=5.

Answer:

4

Step-by-step explanation:

solution: −√10<x<−2 or 2<x<√10

√10=3.16

-3,-2,2,3

The 2 and -2 are the integers satisfy the inequality.

It is required to find the number of integers .

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given:

For (x²– 4)< 0;

x²<4

By taking the square root of both sides we have,

√x²<√4

x < ±2

x<2 and x<-2

Also,

x²<10

By taking  the square root of both sides we get,

√x²<±√10

x < ±√10

x<√10 and x<-√10

The √10 is not an integer but an irrational number. An integer  is a whole number (not a fractional number) that can be positive, negative, or zero.

So we can't take the integer of ±√10.

Therefore, the 2 and -2 are the integers satisfy the inequality.

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Answer:

g(x) = -|x|

Step-by-step explanation:

f(x) = |x|

y = −f(x)  Reflects it about x-axis

g(x) = -|x|

We start off with: f(x) = |x|

Reflection across x-axis

y = -f(x)

After: g(x) = -|x|

Best of Luck!

Answer:

j

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

-3xy

x=11 and y = -4

= -3 *11*-4

-33 * -4

132

If x = 11 and y = -4

-3xy = -3 × 11 × -4

= -3 × -44

.... Hope this will help....

Answer:

the answer would be

B.) 4/10 6/15 8/20

hope that helps

Answer:

  [tex]I=\sqrt{\dfrac{P}{r}}[/tex]

Step-by-step explanation:

Divide by r and take the square root.

  [tex]P=I^2r\\\\\dfrac{P}{r}=I^2\\\\\boxed{I=\sqrt{\dfrac{P}{r}}}[/tex]

Answer:

C.) [tex]A=12x-20[/tex]

Step-by-step explanation:

The area formula:

[tex]A=l*w[/tex]

Insert the values:

[tex]A=4*(3x-5)[/tex]

Use the distributive property:

[tex]A=4(3x)+4(-5)\\\\A=12x-20[/tex]

:Done

Answer:

x=22

Step-by-step explanation:

X²=484

x=√484

x=22

Answer:

Step-by-step explanation:

x^2 = 484

√x²  - √484

x = 22

Step-by-step explanation:

Step by Step Solution:

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "/-19" was replaced by "/(-19)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

s/(-19)-(-29)=0

Step by step solution :

STEP

1

:

s

Simplify ———

-19

Equation at the end of step

1

:

s

——— - -29 = 0

-19

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using -19 as the denominator :

-29 -29 • -19

-29 = ——— = —————————

1 -19

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

s • -1 - (-29 • 19) 551 - s

——————————————————— = ———————

19 19

Equation at the end of step

2

:

551 - s

——————— = 0

19

STEP

3

:

When a fraction equals zero

3.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

551-s

————— • 19 = 0 • 19

19

Now, on the left hand side, the 19 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

551-s = 0

Solving a Single Variable Equation:

3.2 Solve : -s+551 = 0

Subtract 551 from both sides of the equation :

-s = -551

Multiply both sides of the equation by (-1) : s = 551