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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Answer:

V=904.78 in^3

Step-by-step explanation:

V=4/3pir^3=4/3.pi.6^3=904.77868in^3

Answer:

45/4

Step-by-step explanation:

We can interpret the question to have two equation which can be solve simultaneously

a+b=7------------(1)

a-b=2------------(2)

From eqn(2) make a subject of formula

a=2+b--------(3)

Substitute the (3) into eqn(1)

a+b=7------------(1)

2+b+b=7

2b=7-2

2b=5

b=5/2

From equation (3) substitute value of b to find a

a=2+b--------(3)

a= 2+5/2

a=9/2

Then What is the value of a x b ?

9/2× 5/2

=45/4

Answer:

11 1/4

Step-by-step explanation:

a+b=7

a-b=2

adding equations gives us 2a=9  so a= 9/2

b= 7- 9/2= 14-9/2=5/2

therefore a x b= 9/2 x 5/2 =45/4

45/4 in a mixed number is 11 1/4

Answer: 21x - 24

Step-by-step explanation:

(3 * 7) x - 3 (8) = 21x - 24

Answer:

x = 18

These two angles are formed by a transversal that cuts through 2 parallel lines. This means that (5x + 2) on line m corresponds to the angle on the right of (5x-2) on line n.

Now that we can see (5x + 2) and (5x - 2) are on a straight line, we can say that (5x + 2) + (5x - 2) = 180

10x + 0 = 180

10x = 180

x = 180/10

x = 18

Answer:

The order of ordered pairs of a function and its inverse reverse. The graph of the inverse of this function passes through the points (2,-1), (6,0), (-4,3).

Explanation:

I just took the test.

As per the graph, the non-invertible functions pass through the point of (-1, 2)), (0,6), and (3, - 4).  

Learn more about the graph of a non-invertible function that passes through the point.

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Answer:

The next time they would play despacito on both stations is after 35 minutes.

Hence, 3:00pm + 35

= 3:35 pm

Step-by-step explanation:

The radio hot 97 plays despacito ft Justin beiber every 5 minutes. Another station Z 100 plays despacito every 7 minutes. Both stations at start 3:00 pm and what time will it be when despacito at the same time ?

Find and list multiples of time that despacito plays Radio hot 97 and Station Z 100.

Hence, we find the Multiples of 5 minutes and 7 minutes until the first common multiple is found. This is the lowest common multiple.

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45

Multiples of 7:

7, 14, 21, 28, 35, 42, 49

Therefore, the first common multiple is found which is the lowest common multiple is 35

LCM(5, 7) = 35

The next time they would play despacito on both stations is after 35 minutes.

Hence, 3:00pm + 35

= 3:35 pm

Answer:

of course they play despacito that much lol

Step-by-step explanation:

Answer:

729

Step-by-step explanation:

hope it helps

Answer: 27/2 = 13 1 2\

also 729

Answer:

4

Step-by-step explanation:

Hope this helps!

Answer:

z = -1

Step-by-step explanation:

add like terms: 13z = -13

divide both sides by 13: z = -1

Answer:

z=-1

Step-by-step explanation:

Combine like terms: 11+2 ( 13z )

Divide: -13/13 ( -1 )

Answer:

Step-by-step explanation:

Remark

Usually the statements are written from your broker's and his accountant's  point of view. That being said, he looks at the numbers as a debit for a plus, and a credit as a minus. We'll assume it started out as a new purchase.

Debit                  Credit                Balance

0                                                            0

1423                                                1423

1423                                                2846                                

                              10                     2836

                            813                     2023

                          1223                       800

None of the answers match. I have done it correctly. There is no way you will get a fractional amount from those numbers. You are going to have to take it to your teacher/instructor to find out how it is done.

Answer:

m = 6/15

Step-by-step explanation:

Answer:

(-0.4,1)

Have a beautiful day, and stay safe.

Answer:

(-2, 12)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2 books in each box.

There are three boxes

2 times 3 equals 6

Answer:

T and Q

Step-by-step explanation:

It is right

Answer:

<STQ and <UTV

Step-by-step explanation:

Answer:

io

Step-by-step explanation:

9514 1404 393

Answer:

  2

Step-by-step explanation:

The slope can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -3)/(4 -5) = -2/-1

  m = 2

The slope of the line is 2.

Answer:

2

Step-by-step explanation:

ΔY = 1 – 3 = -2

ΔX = 4 – 5 = -1

two negatives make a positive

Answer:

x=-3

Step-by-step explanation:

Solve for x:

5x+2=4x−1

Move all terms containing x to the left side of the equation.

x+2=−1

Move all terms not containing x to the right side of the equation.

x=−3

Answer:

You just do

Step-by-step explanation:

Answer:

just click the thing that says "Ask blah blah about this question..."

Step-by-step explanation:

Answer:

A = 3/4

Step-by-step explanation:

alternately could equal 0.75

Answer: 1/8

[tex]2^{-3}=\frac{1}{2^{3} }=\frac{1}{8}[/tex]

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

Answer:

B

E

H

I think this is right

For the given parallelogram following statements are true

B. The quadrilateral has opposite  sides that are parallel

F. Measure of angle Z = Measure of angle X

G. Measure of angle of W =120 degrees

A parallelogram is a simple quadrilateral with two pairs of parallel sides

Given,

Shorter sides are half the length of the longer sides. Length of he side WX and ZY are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to angle W

Draw the figure using the the data

Using the figure we can say that

The quadrilateral has opposite  sides that are parallel

Measure of angle Z = Measure of angle X

Measure of angle of W =120 degrees

Hence, the correct options are B,F and G

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Answer:

Step-by-step explanation:

3x =15-5y

Add 5y and subtract 3x on both sides

5y=15-3x

y=(15-3x)/5

Answer:

6%

Step-by-step explanation:

This is an honest guess just because you are not given the content of 2 out of the 3 bags. When starting at 100 percent of the makeup of the porridge you can then divide that by 3 to get the content of 1 bag. You will get around 33 then you find what 20% of 33 is which is closest to either 6 percent.

Answer:

The size of the tank is 16 gallons

Step-by-step explanation:

Here, we want to calculate the size of the gas tank of the truck

we simply divide the total amount spent by the price per gallon

Mathematically, that will be;

53.28/3.33 = 16 gallons

Answer:

x = 6

Step-by-step explanation:

-2 + x = 4

x = 4 + 2

x = 6

Thank you :-)

Answer:

Mean: 1.7 and standard deviation 1.1.

Step-by-step explanation:

42% Of the poll workers are less than 60 years old. In other words, 58% of the poll workers are 60 years old: 1-0.42 = 0.58. So W is a geometric variable where the first "success" is poll worker who is at least 60years old.

Mean: 1/0.58 = 1.7241 poll workers, about 1.7 poll workers.

Standard deviation: sqr(1-p)/p = sqr(1-0.58)/0.58 = 1.1174 poll workers, about 1.1 poll workers.

The required Mean and the standard deviation are given as 1.7  and 1.1 respectively.

Given that,
During the last election, 42%, percent of the poll workers were under 60 years old. Let W be the number of poll workers Kiera contacts before reaching one that is 606060 years old or older.

The mean of the values is the ratio of the total sum of values to the number of values.

here,
42% of poll workers are under the age of 60. Also, 58% of poll workers are above the age of 60.
= 1 - 0.42 = 0.58.

So "W" is a geometric variable with the first success being a poll worker beyond the age of 60.

Mean =  1/0.58
         = 1.7 poll workers.

Standard deviation = √[(1-0.58)/0.58]
                             = 1.1 poll workers.

Thus, the required Mean and the standard deviation are given as 1.7  and 1.1 respectively.

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Answer:

A. 15 ft

Step-by-step explanation:

I took the test.

By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.

A quadrilateral whose all four sides are equal and all four equal angles are equal to 90°is called square .

Given that area of square shaped lawn is224.9 square feet.

We know that area of square is equal to [tex]a^2[/tex] where a is length of side of square .

We can calculate length side of lawn as

Area = [tex]a^2[/tex]

224.9 = [tex]a^2[/tex]

[tex]a= \pm \sqrt{224.9}\\\\\Rightarrow a=\pm 14.9966[/tex]

We know that length of side of square can't be negative so

[tex]a=14.9966\\\\a\approx 15 ft[/tex]

By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.

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Answer:

y= -4x +3

Step-by-step explanation:

① Rewrite the equation in the form of y=mx+c, to find the gradient of the given line, m.

x -4y= 20

4y= x -20

y= ¼x -5 (÷4 on both sides)

∴ Gradient of line= ¼

② Find the gradient of the new line.

The product of the gradients of perpendicular lines is -1.

¼(gradient of line)= -1

gradient of line

= -1 ÷¼

= -1 ×4

= -4

③ Substitute the value of the gradient into the equation.

y= -4x +c

④ Find the value of c by substituting a pair of coordinates.

When x= 2, y= -5,

-5= -4(2) +c

-5= -8 +c

c= -5 +8 (+8 on both sides)

c= 3

Thus, the equation of the line is y= -4x +3.