A rectangular enclosure at the zoo is 35 feet long by 18 feet wide. The zoo wants to double the area of the enclosure by adding the same distance x to the length and width. Write and solve an equation to find the value of x. What are the dimensions of the enclosure?

Answer:

a. x = 12

b. x = 4

Step-by-step explanation:

a. RECTANGLE

ABCD is a rectangle, AC and BD are its diagonals.

Diagonals of a rectangle are congruent.

Therefore,

AC = BD

10x + 8 = 9x + 20

10x - 9x = 20 - 8

x = 12

b. RHOMBUS

Diagonal of a rectangle bisect opposite angles.

Therefore,

(5x + 3)° = (2x + 15)°

5x + 3 = 2x + 15

5x - 2x = 15 - 3

3x = 12

x = 12/3

x = 4

The value of x for a rectangle will be 12.

The value of X for a rhombus is 4.

A basic quadrilateral containing two sets of side lengths is known as a parallelogram. There are four types of parallelograms each with diffrent kinds of properties.

a. RECTANGLE

ABCD is a rectangle, Therfore the diagonals that are made will also be equal.

AC = BD

[tex]10x +8 = 9x + 20\\10x - 9x = 20 - 8[/tex]

x = 12

b. RHOMBUS

As this is a rhombus that is presented, the angle which is divided with the help of the diagonal will both be equal.

5x + 3 = 2x + 15

5x - 2x = 15 - 3

Simplifying the equation,

3x = 12

x = 12/3

x = 4

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Answer:

3

Step-by-step explanation:

you have to do it then multiply by three

Answer:

18 months

Step-by-step explanation:

35,000÷18=1944

First, we need to figure out the amounts of months that Gerald has total, with all of the money.  So, we divide 35000 by 1400, this leaves us with 25.  So, if he keeps spending 1400 per month, it will last him 25 months, but this is not what the question asks, is it?  In 25 months, his inheritance will be fully depleted, in 24 months he will have spent 33,600 dollars, meaning he will have 1400 dollars left (35000 - (24 * 1400))and in 23 months, he will have spent 32,200 dollars, meaning that he will have 2800 dollars.  

"In 24 months he will have spent 33,600 dollars, meaning he will have 1400 dollars left 35000 - (24 * 1400)"

35000 - (24 * 1400)

24 months

9514 1404 393

Answer:

  14

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

__

(7^?)(7^5)^4 = 7^34

(7^?)(7^20) = 7^34 . . . . simplify power of power

7^(?+20) = 7^34 . . . . . . simplify product

? +20 = 34 . . . . . . . . . .  equate exponents of the same base

? = 14

Answer: 14

Step-by-step explanation:

Answer:

The second one, I believe.

Step-by-step explanation:

Answer:

If the "-" after "3y" is a typo, then y = 8/7, x = 24/7

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

90 - 43 = 47

x + 3 = 47

x = 47 - 3

  = 44

I think the answer is 44. Pls check and correct me if I'm wrong.

Answer:

y = 1/49x

Step-by-step explanation:

perpendicular lines have slopes that are opposite reciprocals. the y intercept is the second number in the point given (x,y). so the y intercept is 0

Answer:

b

Step-by-step explanation:

Answer:

It is ten times the value of the seven in 7.835

Step-by-step explanation:

7.825 x 1/10 = .7825

3.7 x 10 = 37

The seven shifted to the right in place value.

I hope this helps.

Answer:

10 times

Step-by-step explanation:

7 divided 0.7=10

Hello betzy166817!

The correct answer is: 250 miles per inch.

You can multiply the number of inches on the map by 250 to find the number of miles.

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https://brainly.com/question/19520943

Answer:

start at 0 and go up 3 and put a point  (your x)

start at 0 and also go up 5 and put a point  (your y)

draw  LINE HORIZONALY ACROSS THE  (LEFT TO RIGHT ) on each line

you should have two horizonal lines parallel

Step-by-step explanation:

Answer:

2:1

Step-by-step explanation:

I took the test

Answer:

I would say 2:1 too because for the grape, 2 is the first number which is alligned with 1 on lemon-lime

hope this helps!

Step-by-step explanation:

Answer:

points

Step-by-step explanation:

Answer:

we need to know how many students got a B or higher by those 25 students

Step-by-step explanation:

The percentage increase in the value of the house each of the three years is 11.49%.

The equation that can be used to represent the percentage change in the value of the house is:

(100x - 10%) + 3x% = 55.52%

90% + 3x = 55.52%

90% - 55.52% = 3x

34,48% = 3x

x = 34.48/3

x = 11.49%

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Answer:

They would have about $2500 after one year

Step-by-step explanation:

Answer:

The original length of each side of the equilateral triangle = x =15 inches

Step-by-step explanation:

Let Original length of side of equilateral triangle = x

If it is increased by 5 inches, the length will become = x+5

Since in equilateral triangle all the ides have same length so,

New Length of side 1 = x+5

New of side 2 = x+5

New Length of side 3 = x+5

Perimeter of triangle = 60 inches

We need to find the value of x

The formula used is: [tex]Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3[/tex]

Putting values in formula and finding x

[tex]Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3\\60=x+5+x+5+x+5\\60=3x+15\\60-15=3x\\45=3x\\x=\frac{45}{3}\\x=15[/tex]

So, the original length of each side of the equilateral triangle = x =15 inches

[tex] \frac{ - 3}{4} (x - 3) - 5 = \frac{1}{8} (x - 1)[/tex]

[tex] \frac{ - 3}{4} x + \frac{9}{4} - 5 = \frac{1}{8} x - \frac{1}{8} [/tex]

[tex] \frac{ - 3}{4} x - \frac{1}{8} x = - \frac{1}{8} - \frac{9}{4} + 5[/tex]

[tex] \frac{ - 6x}{8} - \frac{x}{8} = \frac{ - 1}{8} - \frac{18}{8} + \frac{40}{8} [/tex]

[tex] \frac{ - 6x - x}{8} = \frac{ - 1 - 18 + 40}{8} [/tex]

[tex] \frac{ - 7x}{8} = \frac{21}{8} [/tex]

[tex] - 7x = 21[/tex]

[tex]x = \frac{21}{ - 7} [/tex]

[tex]x = - 3[/tex]

Answer:

The answer

Step-by-step explanation:

Explanation

Answer:

A

Step-by-step explanation:

Answer:

After translation:

Translation: (x, y)  →  (x-6, y-8)

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

After dilation:

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

Step-by-step explanation:

Given the vertices of the Quadrilateral WXYZ

As the rule of translation is given by

Translation: (x, y)  →  (x-6, y-8)

So, after the translation the vertices of Quadrilateral WXYZ will be translated as:

W(-4, 8)  →  (x-6, y-8) ⇒ (-4-6, 8-8) = W'(-10, 0)

X(-4, 0)  →  (x-6, y-8) ⇒ (-4-6, 0-8) = X'(-10, -8)

Y(-12, 4)  →  (x-6, y-8) ⇒ (-12-6, 4-8) = Y'(-18, -4)

Z(-8, 16)  →  (x-6, y-8) ⇒ (-8-6, 16-8) = Z'(-14, 8)

Therefore,

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

Next, the rule of dilation is given by

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

W'(-10, 0)  →  (2x, 2y) ⇒ (2(-10), 2(0)) = W'' (-20, 0)  

X'(-4, 0)  →  (2x, 2y) ⇒ (2(-4), 2(0)) = X'' (-8, 0)

Y'(-12, 4)  →  (2x, 2y) ⇒ (2(-12), 2(4)) = Y'' (-24, 8)

Z'(-8, 16)  →  (2x, 2y) ⇒ (2(-8), 2(16)) = Z'' (-16, 32)

Therefore,

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

Answer:

D-87,100,000

Step-by-step explanation:

Move the decimal point from its position to the right 7 times because of the 7 indicated as the power.

Please mark as brainliest

Answer:

Variable

Step-by-step explanation:

Answer:

y=-3/4

i think

Answer: 7 I think its adding but if its multiplying it is 12

Step-by-step explanation:

Answer:

4:3

Step-by-step explanation:

Hope this helps

Answer: its a positive slope

answer:

Step-by-step explanation:

but i dont know the y-intercept tho

Answer:

Step-by-step explanation:

1.

Step E)

The mistake is:

Correct way is:

2.

Step C)

The mistake is:

Correct way is:

Answer:

First picture the step E is incorrect because:

[tex]=\frac{-2x-5}{(x+4)(x-4)}[/tex]

Instead you should change the step E to be: [tex]\frac{-2x-5}{(x+4)(x-4)}[/tex]

Second picture the step C is incorrect because:

[tex](\sqrt{5x})^{2}[/tex] =[tex](x+2)^{2}[/tex]

[tex]5x = x^{2} +4x+4[/tex]

[tex]not[/tex] [tex]5x=x^{2} +4[/tex]

Instead you should change the step C to be: [tex]5x = x^{2} +4x+4[/tex]

Change step D to:

[tex]5x -x^{2} -4x -4=0[/tex]  

Change step E to:

[tex]x^{2}-x+4=0[/tex]

Change step F to:  

[tex]x=\frac{1+-\sqrt{1-16} }{2}[/tex]

x∉R

HOPE IT'S HELP U

IF IT'S WRONG I'M SORRY:3

Answer:

56

Step-by-step explanation:

(14-7) x (40-32) = 7 x 8

                         = 56

Hope you understood :)