The scale for this drawing is 5 in. = 16 ft. On the drawing, the width of the kitchen measures 3 in. What is the width of the actual kitchen? Round your answer to the nearest foot.

Answer:

A=(−1,3),B=(4,−9)

We know that the distance between two points

d=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

Therefore,

d=

(4−(−1))

2

+(−9−3)

2

d=

(4+1)

2

+(−12)

2

d=

(5)

2

+(−12)

2

d=

25+144

d=

169

d=13 units

The side lengths of A'A and B'B are 18 and 9 respectively.

When the respective sides are proportional and the corresponding angles are congruent, two triangles are said to be similar.

Given that, segment A'B' is parallel to segment AB.

Let A'A =x and B'B = y.

Since the segments are parallel the triangles ΔA'B'C and ΔABC are similar.

As per the property of similar triangles, it follows:

12/8 = (12 + x)/20

12 + x = (12/8)20

x = 18

And,

6/8 = (6+y)/20

6 + y = (6/8)20

y = 9

Hence, the side lengths of A'A and B'B are 18 and 9 respectively.

Learn more about similar triangles:
https://brainly.com/question/25882965

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Answer:

(0.2)(38)

Step-by-step explanation:

To find a percent, you multiply the number (cost) by the decimal of the percent

20% as a decimal is .2

Answer:

0.2 48

Step-by-step explanation:

20% change into decimal form is 0.2 you move decimal two places left.

Answer:

Option B

Both are Given..

hope it helps

Answer:

96 school days

Step-by-step explanation:

i hope this is right but tell me if its wrong

Answer:

Impossible not likely to happen

Answer:

2x-y=0

x=1/2y

Step-by-step explanation:

Answer:

Your solution is (1/2, 1).

Step-by-step explanation:

3х + Зу = -x + 5y

First we want to look at each side of the equation separately.

3х + Зу ⇒ This expression is fully simplified because you cannot add different variables together.

-x + 5y ⇒ This expression is fully simplified because you cannot add different variables together.

3х + Зу = -x + 5y

Now, let's bring the like terms together.

[add x to both sides]

x + 3x + 3y = -x + x + 5y

4x + 3y = 5y

[subtract 3y from both sides]

4x + 3y - 3y = 5y - 3y

4x = 2y

We want to solve for one variable at a time, so let's isolate x.

[divide both sides by 4]

4x/4 = 2y/4

x = 1/2y

Now we have an expression for x. Plug this expression in to your original equation.

3х + Зу = -x + 5y

3(1/2y) + 3y = -(1/2y) + 5y

According to PEMDAS (parentheses/exponents | multiplication/division | addition/subtraction), we should multiply first.

3(1/2y) + 3y = -(1/2y) + 5y

3/2y + 3y = -1/2y + 5y

Now let's add on each side.

9/2y = 9/2

Now we need to isolate y by dividing both sides by 9/2 (or multiplying by its reciprocal 2/9 ← This is often easier to understand when written)

[tex]\frac{2}{9} (\frac{9}{2} y) = \frac{9}{2} (\frac{2}{9} )[/tex]

In this form, we can see that the fractions cancel each other out.

y = 1

Now that we have the value of y, plug it into our equation for x.

x = 1/2y

x = 1/2(1)

Multiply.

x = 1/2

Your solution is (1/2, 1).

You're almost done! Check your answer by plugging in both these values in to your original equation.

3х + Зу = -x + 5y

3(1/2) + 3(1) = -(1/2) + 5(1)

Multiply.

3(1/2) + 3(1) = -(1/2) + 5(1)

3/2 + 3 = -1/2 + 5

Add.

9/2 = 9/2

This equation is true, therefore your answer is correct!

Hope this helps!

Answer:

171 cm³

Step-by-step explanation:

The object is composed of a cone and a cylinder.

Volume of the object = volume of cone + volume of cylinder

✔️Volume of Cone = ⅓πr²h

r = ½ of 6 = 3 cm

π = 3

h = 5 cm

Volume of cone = ⅓×3×3²×5

Volume of cone = 45 cm³

✔️Volume of cylinder = πr²h

π = 3

r = ½ of 6 = 3 cm

h = 14 cm

Volume of cylinder = 3×3×14

Volume of cylinder = 126 cm³

✔️Volume of the object = 45 + 126 = 171 cm³

it's 7

Hope it helps

Have a good day

Answer:

9 4/5

Have a beautiful day!

Answer:

The mixed number for 9.8 would be 9 4/5. I need brainliest

Answer:

SRU

Step-by-step explanation:

Answer:

The awnser would be 9 because its under the sum of 10

Answer:

9 (see below)

Step-by-step explanation:

So, for a triangle, if you add any two sides, it will always be greater than the third side.

So if a triangle has sides of 1, 1, and 1:

1 + 1 > 1

1 + 1 > 1

1 + 1 > 1

So this is a triangle.

For a triangle with the sides of 3, 3, and 9:

3 + 9 > 3

9 + 3 > 3

3 + 3 > 9   (this one is not true)

So, these can't be the values of the sides of a triangle.

For your situation, you have a triangle with sides of 4, 6, and x.

We need to find out what x is, so:

4 + 6 > x

4 + x > 6

6 + x > 4

Isolate x to one side and simplify all the inequalities. You will get:

x < 10

x > 2

x > -2

So, -2 < x < 10.

If you plug in your answer choices, it will be 9.

Answer:

Step-by-step explanation:

5[tex]\frac{1}{2}[/tex]+2[tex]\frac{1}{7}[/tex]

5[tex]\frac{7}{14}[/tex]+2[tex]\frac{2}{14}[/tex]

7 9/14  or 7[tex]\frac{9}{14}[/tex]

Answer:

[tex] \frac{135}{14} [/tex]

Answer:

The answer will be MAB= 19.53m

Step-by-step explanation:

hope it helps have a great day ^_^

Answer:

X= .5 (decimal form)

X= 1/2 (Exact form)

Answer: 5

Work Shown:

f(x) = 2x+1

f(2) = 2*2+1 ... x has been replaced with 2

f(2) = 4+1

f(2) = 5

The input is x = 2. The output is y = 5.

Find the length of a side:

Length of side = √area

Side = √4

Side = 2 inches.

Now calculate Volume:

Volume = Side^3

Volume = 2^3

Volume = 8 cubic inches.

Answer:

1

Step-by-step explanation:

1/3=3/6 2/3=4/6 6/6=1

Answer:

40%

Step-by-step explanation:

There's a total of 15 squares.

So the percentage that is gray would be [tex]\frac{6-gray-squares}{15-total-squares}[/tex] which simplifies to [tex]\frac{2}{5}[/tex] in fraction form or 40%

Answer:

a

Step-by-step explanation:

it is

Answer:

49:35

Step-by-step explanation:

Divide 49 and 35 and then you can Get Answer..

Answer:

Step-by-step explanation:

ratio of 49 cm to 35 cm

=> 49:35 { divide by 7}

=> 7:5 cm

Answer:

m=5 , a=3 x= 3 you get that by looking at the other numbers that they provided.

Answer: 1 and 1/10

Step-by-step explanation:

First you have to change the fractions denominator and that would become 5/10 and 6/10

Once you add them you get 1 and 1/10

Answer:

f(3) = -2

One value of x for which f(x) = 2 is f( 1 )

hope this helps :)

Answer:

5x - 2y= -28

Step-by-step explanation:

Since the y= mx + b format would be: y= 5/2x + 14

Standard form is: 5x - 2y= -28

Answer:

Your Balance Would Be $1400.

How I Found The Answer:

$1000 Is 100%

$1000 ÷ 100 = $10

$10 Is 1%

$10 × 8 = $80

$80 × 5 = $400

$1000 + $400 = $1400

Your Balance Would Be $1400.