The figure below shows the first 3 steps in the construction of a Sierpinski Triangle.
1 equilateral 3 congruent 9 congruent
triangle
equilateral equilateral
triangles
triangles
Which property explains why each of the 9 small triangles in step 3 is similar to the large triangle in step 1?
A. The side-side property of congruent triangles can be used because all the sides of an equilateral triangle are similar.
B. The side-side property of similar triangles can be used because all the sides of an equilateral triangle are congruent.
C. The angle-angle property of congruent triangles can be used because all the angles of an equilateral triangle are similar.
D. The angle-angle property of similar triangles can be used because all the angles of an equilateral triangle are congruent.
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Given:

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag.

In another shopping bag she has a 5-pound bag of flour.

The two shopping bags weigh the same amount.

To find:

The weight of each bag of dried beans.

Solution:

Let x be the weight of each bag of dried beans.

So, weight of 6 bags of dried beans = 6x.

According to the question,

Weight of first bag = (6x + 2) pounds

Weight of second bag = 5 pounds

The two shopping bags weigh the same amount. So,

[tex]6x+2=5[/tex]

[tex]6x=5-2[/tex]

[tex]6x=3[/tex]

Divide both sides by 6.

[tex]x=\dfrac{3}{6}[/tex]

[tex]x=0.5[/tex]

Therefore, the weight of each bag of dried beans is 0.5 pounds.

The weight of each bag of dried beans is 0.5 pounds.

Given that,

Based on the above information, the calculation is as follows:

6x + 2 = 5

6x = 5 -2

6x = 3

x = 0.5

Therefore, we can conclude that the weight of each bag of dried beans is 0.5 pounds.

Learn more: brainly.com/question/24169758

Answer:

B

Step-by-step explanation:

if you look at the line one going up, the y axis is at the negatives meaning it begins as -5 . Then notice how it goes up 3 times and it goes to the right once. So the slope is 3/1 or simplified 3 so we know the slope intercept form is = y is 3x-5. Now we look at the second one. None of the answers of the second one are in slope intercept form. for that you have to turn them into it. When you do that for B will be y= -1/2x + 2. When you look at the line the y axis is 2 and the slope is -1/2x.

2 -[tex]\sqrt{3}[/tex]

7-4[tex]\sqrt{3}[/tex]

=7-2[tex]\sqrt{2x3}[/tex]

=7-2[tex]\sqrt{12}[/tex]

=([tex]\sqrt{3}[/tex])² - 2[tex]\sqrt{3x4}[/tex] + ([tex]\sqrt{4}[/tex] )

=( - [tex]\sqrt{3}[/tex] + [tex]\sqrt{4}[/tex])²

∴[tex]\sqrt{7-4}[/tex] [tex]\sqrt{3=2}[/tex] - [tex]\sqrt{3}[/tex]

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Answer:

Y= -12

Step-by-step explanation:

I'm pretty sure it's C. Both.

Answer:

only table A is a function

Table B has two inputes with the same outpute so it is impossible to be a function. but two of the same inputes can have different outputs

Step-by-step explanation:

f-(-4)=12(Remove brackets)

f--4=12(Negative and negative is going to give you positive)

f+4=12(Group Like Terms)

f=12-4(Subtract)

f=8

Then that will be the final answer

Answer:

[tex]\huge\boxed{f=8}[/tex]

Step-by-step explanation:

[tex]f-(-4)=12\to f+4=12\qquad|(-)(-)\to(+)\\\\f+4=12\qquad|\text{subtract 4 from both sides}\\\\f+4-4=12-4\\\\f=8[/tex]

Answer:

The first person somehow

Step-by-step explanation: 10 divide by 2.7 is 3.7037037 and 10 divided by 2.4 is 4.16666667

Answer:

700607

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

Y intercept= (0,15)

X intercept= ([tex]\frac{3}{4}[/tex],0) , (5,0)

Vertex= -[tex]\frac{b}{2a}[/tex]

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Answer:

4. y = 2x -6

5. y = -x + 3

6. y = -[tex]\frac{1}{3}[/tex]x - 1

7. m= -4 and b=3

8. m= 1 and b=-7

9. y = 0.08x + 3

10. y= 3x - 19

11. y= -3x + 5

Step-by-step explanation:

Use the equation y = mx + b; where m is the slope and b is the y-intercept

4. given: m = 2 and y-int = -6; plug into equation

y = mx + b

y = 2x -6

5. given: m = -1 and y-int = 3; plug into equation

y = mx + b

y = -x + 3

6. given: m = -1/3 and y-int = -1; plug into equation

y = mx + b

y = -[tex]\frac{1}{3}[/tex]x - 1

7. given: y=-4x+3; slope m and y-intercept b are

m= -4

b=3

8. given: y=x-7; slope m and y-intercept b are

m= 1

b=-7

9.  the monthly of $3 is fixed or starts the month; which is the y-intercept (another way to say is it is at 0 minutes) so b = 3.  Now the rate is $0.08 per minutes and the rate is the same as the slope, m= 0.08

Using equation y=mx+b; substitute

y = 0.08x + 3

10.  Given: (6,-1) and m= 3

use y=mx+b; substitute the y point into equation

-1 = 3x + b; substitue the x point into equation

-1 = 3(6) + b; solve for b

b = -19; now plug back into equation

y = mx + b or y= 3x - 19

11.  Given: (2,-1) and m= -3

use y=mx+b; substitute the y point into equation

-1 = -3x + b; substitue the x point into equation

-1 = -3(2) + b; solve for b

b = 5; now plug back into equation

y = mx + b or y= -3x + 5

Answer:

2565

Step-by-step explanation:

:)

Answer:

2565

Step-by-step explanation:

a=associates / p=partners

1a= $800 / 1p= $1500

(6)a + (2)p = 800 x 6 + 1500 + 2 = $7800

(x)a + (y)p = $z

hope this helps :)

Answer:

x = 4

y = 2

Step-by-step explanation:

x - y = 2

   x = 2 + y

2x + 3y = 14

  2(2 + y) + 3y = 14

  4 + 2y + 3y = 14

  4 + 5y = 14

  5y = 10

   y = 2

x - y = 2

  x - 2 = 2

  x = 4

Answer:

4,2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

(3*3) + (2*2) = 9+4 = 13 which is what the other side of the equation states so it is a solution

Answer:

Yes

Step-by-step explanation:

Plug the 3 into the x and plug the 2 into the y from (3,2)

So you get, 3(3) + 2(2)=13

9+4=13

Answer:

-1/3

Step-by-step explanation:

because i aint never seen two pretty best friends, its always one of em gotta be ugly

Answer:

1st question example. all you have to do is write ∠XV, ∠VW, ∠WX

Step-by-step explanation:

the ∠ means the angles. so each angle has a degree. Just list them shortest angle to longest angle.

Answer:

are you okay?

Step-by-step explanation:

Answer:

i guess you have to find square root of every number

like of 15 is 3,87 therefore higher than it is 4 and less than it 3

Answer:

Step-By-Step Explanation: (Rounded to nearest hundred)

Answer:

Step-by-step explanation:

ji

Answer:

5+n=6.2

Step-by-step explanation:

if n = 1.2

then its 5 +1+ .2 = 6.2 i think

The Sine difference function was derivated with the help of the sine sum function.

The difference function for the sine function states that the sine of the difference of two angles equals the product of the sine of the first angle and cosine of the second angle minus the product of the cosine of the first angle and the sine of the second angle.

As we know that

[tex]Sin(a+b) = SinaCosb + CosaSinb[/tex]..........(1)

If we replace b by -b equation (1) becomes

[tex]Sin(a+(-b)) = SinaCos(-b) + CosaSin(-b)[/tex]

We know that

Cos(-b) =cosb

Sin(-b) =-Sinb

So, [tex]Sin(a-b) = SinaCosb -CosaSinb[/tex]

Therefore, the Sine difference function was derivated with the help of the sine sum function.

To get more about the Sine function visit:

https://brainly.com/question/10879727

Answer:

x = -6

Step-by-step explanation:

I'm assuming you're solving for x

3/4 (4x + 8) = -12

you distribute the 3/4 to 4x and 8 so

3/4 times 4x = 3x

3/4 times 8 = 6

now looks like

3x + 6 = -12

3x = -12 - 6

3x = -18

x = -6

Answer:  y= -5x - 1

y = -5.2 + 7

Step-by-step explanation: y= -5x - 1 has 3.    y = -5.2 + 7  has 1

Answer:

0.79

Step-by-step explanation:

25+30+10+4=79 so 0.79

Answer:

0.79

Step-by-step explanation:

I know because of I got taught a little about this but if I am wrong I'm sooooooo sorry

Answer:

4x - 6 = -2

Step-by-step explanation:

i dont really know how to explain this one

Answer:

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

Step-by-step explanation:

So since it says 6 is less than that means we will be putting the 6 in front of the number that's going to be 4x because the product of 4 and x is shown by 4x. Then lastly it says all "is -2" that means all that equals -2.

Answer:

71829x

Step-by-step explanation:

Answer:

The correct answer is option A

Step-by-step explanation

You got this! keep going! :D

Answer

x=-2 and y=-3

Step-by-step explanation:

Step: Solvey=5x+7for y:

Step: Substitute5x+7 for y in 3x+y=−9:

3x+y=−9

3x+5x+7=−9

8x+7=−9(Simplify both sides of the equation)

8x+7+−7=−9+−7(Add -7 to both sides)

8x=−16

8x/8=−16/8

(Divide both sides by 8)

x=−2

Step: Substitute−2 for x in y=5x+7:

y=5x+7

y=(5)(−2)+7

y=−3(Simplify both sides of the equation)