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Part 1: Figure A is a dilated image of Figure B. Find the scale factor. #1 and 2​

[tex] \frac{12}{16} = \frac{x}{13} [/tex]

[tex]16x = 12 \times 13[/tex]

[tex]x = \frac{12 \times 13}{16} [/tex]

[tex]x = \frac{156}{16} = 9.75[/tex]

The area of a parallelogram is the product of:

   --> length of the base and the height

Thus the area = 7 * 5 = 35 square feet

Hope that helps!

Answer:

Step-by-step explanation:

Givens

Perimeter = 80 feet

side 1 = n

side 2 = 3n + 7

side 3 = 3n + 3

Formula

Side 1 + side 2 + side 3 = 80

Solution

Substitute the length for each side into the equation

n + 3n + 7 + 3n + 3 = 80

7n +10 = 80                            Subtract 10 from both sides

7n + 10 - 10 = 80 - 10             Combine

7x = 70                                   Divide by 7

7x/7 = 70/7                             Combine

x = 10

Answer

Side 1 = n = 10

Side 2 = 3n + 7 = 3*10 + 7 = 37  

Side 3 = 3n + 3 = 30 + 3 = 33

Answer:

The sum is 16 and the difference is 8 unless subtraction 12 from 4 and it would be -8.

Step-by-step explanation:

12 + 4 = 16

12- 4 = 8

4 - 12 = -8

Answer:

150m^3

Step-by-step explanation:

The formula for the volume a triangular prism, like the one you have, is 1/2 base x height. For your prism the volume would be 1/2 (30 x 10) which equals 150. Now just add the measurment m (meters) and you're set.

The bucket that contains 2120 grams of sand and a cup that contains 438 grams of sand , the bucket of sand has 1682 grams of sand than the cup of sand in the cup.

A cup contains 438 grams of sand. A bucket contains 2120 grams of sand.

Therefore, the number of more grams of sand in the bucket than the cup is as follows:

mass of sand in cups = 438 grams

mass of sand in the bucket = 2120 grams

Therefore,

difference in mass = 2120 - 438

difference in mass = 1682 grams

Therefore, they are 1682 grams of sands in the bucket than the cup.

learn more on mass(grams) here: https://brainly.com/question/12843854

Answer:

center = (3, 0)

radius = 2

Step-by-step explanation:

Standard equation of a circle:  [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center of the circle and r is the radius)

Given equation:

[tex]\sf (x-3)^2+y^2=4[/tex]

Rewrite in standard form:

[tex]\sf \implies (x-3)^2+(y-0)^2=2^2[/tex]

Therefore

Using a system of equations, it is found that Anne gets 5x - 10 pens.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, we consider that John gets x pens.

Lucy gets 2 pens less than john, hence:

L = x - 2.

Anne gets 5 times many pens as lucy, hence:

A = 5L = 5(x - 2) = 5x - 10.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

y+2x=4

Step-by-step explanation:

use the formula of equation of line

The equation of line is y= 4 - 2x.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given co- ordinates:

A(-1,6) and B (3,-2)

slope = [tex](y_2 - y_1) / (x_2 - x_1)[/tex]

slope = ( -2 - 6)/ ( 3 -(-1))

slope = (-8) / (4)

slope = -2

Now, the equation of line

([tex]y-y_1) = m (x - x_1)[/tex]

(y- 6) = (-2)(x - (-1))

y-6 = (-2)(x + 1)

y-6 = -2x -2

y= 4 - 2x

Hence, the equation of line is y= 4 - 2x.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Answer:

D

Step-by-step explanation:

36 can be divided by both 2 & 3

Answer:

The answer is D.

Step-by-step explanation:

2x18=36

3x12=36

Answer:

400 ft sq

Step-by-step explanation:

Area = Length x Width x Height

10 x 10 x 4

100 x 4

400

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Answer:

x = 49

Step-by-step explanation:

corner point b = 41

d = right angle ( 90 )

90 + 41 = 131

180- 131 = 49

x = 49

p.s

im not sure if d is a right angle if it is not please inform me.

[tex]\frac{1}{64}[/tex]

[tex]The\ probability\ of\ tails\ per\ flip\ is\ \frac{1}{2}[/tex]

[tex]so\ the\ probability\ of\ getting\ six[/tex]

[tex]tails\ is[/tex]

[tex]\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{64}[/tex]

[tex]The\ probability\ of\ getting\ tails\ every[/tex]

[tex]time\ you\ multiply\ them\ is\ the[/tex]

[tex]probobility\ of\ getting\ tails\ all\ six[/tex]

[tex]times?[/tex]

I hope this helps you

:)

Answer:

20.1168

Step-by-step explanation:

Step-by-step explanation:

Answer:

3/4 ratio

Step-by-step explanation:

This is the answer

Answer:

Yes

Step-by-step explanation:

An average of five birds hit the monument each week and in order to receive the funds, more than three birds have to be killed in a week

Reflection is flipping. The x axis is the horizontal line. If you flip a shape over the x axis, it will still stay in the same area for the horizontal points, it's the vertical points that will change, but only their signs will because a reflection isn't moving a shapes location completely. Think of it like Flipping the page of a book. If you drew a triangle on your book page and flipped the page, it would still be in the same area just the opposite side/direction. Just make the y axis (second number in brackets) points the opposite sign to solve

-4,-4 0,-3. 1,1

Answer:

[tex]\rightarrow \boxed{\sf{8x+16}}[/tex]

Step-by-step explanation:

You have to isolate the term of x from one side of the equation.

Distributive property:

A(B+C)=AB+AC

5x+(x+12)+(2x+4)

5x+(x+12)+(2x+4)=5x+x+12+2x+4

5x+x+12+2x+4

Group and combined like terms.

5x+x+2x+12+4

Add the numbers from left to right.

12+4=16

Rewrite the problem down.

5x+x+2x+16

Then, you solve.

5x+x=6x

6x+2x=8x

8x+16

As a result, the final answer is 8x+16.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

B. 38°

Step-by-step explanation:

The angles of a triangle add up to 180.

So, 62 + 80 + b will add up to 180.

First, we add 62 =80, which gives us 142.

The we subtract 142 from 180, which gives us 38.

Answer:

Step-by-step explanation:

Take one side length

Scale factor (A to B)

[tex]\\ \rm\rightarrowtail \dfrac{16}{12)=\dfrac{4}{3}[/tex]

Scale factor (B to A)=1/4/3=3/4

#4

Scale factor (A to B)

Scale factor (B to A)

Answer:

z^10/z^5 = z^5

Step-by-step explanation:

if it is divide, you minus, so z^10/z^5 is z^5.

Answer:

Step-by-step explanation:

a) substitute t = 1 in the expression

3 - 2t = 3- 2*1

          = 3 - 2

          = 1

b) substitute t = 4 in the expression

3 - 2t = 3 - 2*4

         = 3 - 8

         = (-5)

Answer: 6 out of 14 or 3 out of 7

Step-by-step explanation: just add up all the ties and put polka dot ties out of the total and

Answer:

A

Step-by-step explanation:

Got it right on Khan Academy.

Hope this helps!

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