The polygons are similar solve for x

Answer: 210

Step-by-step explanation:

We know that the number of combinations of n things taken r at a time is given by :-

[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

So, number of ways to select 3 plants out of 7 = [tex]C(7,3)=\dfrac{7!}{3!4!}=\dfrac{7\times6\times5\times4!}{6\times 4!}=7\times5=35[/tex]

Also number of ways to arrange them in 3 positions = 3! = 6

Now , total number of arrangements with 1 plant in each spot = (number of ways to select 3 plants out of 7) x (number of ways to arrange them in 3 positions)

= 35 x 6

=210

Hence, required number of ways = 210

Since, the arrangement does not matter, we use the principle of combination, Hence, the number of display arrangement possible is 210

This could be defined thus as : (7C3) × 3! ;

3! = number of ways to arrange the 3 plants into the 3 spots

Recall :

7C3 = [tex] \frac{7!}{(7-3)!3!} = \frac{7!}{4!r3!} [/tex]

7C3 = [tex] \frac{7×6×5}{6} = 35 [/tex]

3! = 3 × 2 × 1 = 6

(7C3) × 3! = 35 × 6 = 210 ways

Therefore, there are 210 possible arrangements which can be made.

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Step-by-step explanation:

what can go in

both numbers

2,4,8

let use 8 since u said to the simplest form

48÷8=6

16÷8=2

therefore, 6:2

The given lines n: y = -2x-4 and line m: y = -2x+8 are neither parallel nor perpendicular

The slope of the parallel line is 0 and the slope of the perpendicular line is undefined.

The lines are parallel if their slopes are the same but their y-intercepts differ. The lines are not parallel if the slopes differ. Perpendicular lines, unlike parallel lines, do intersect. Their intersection creates a 90-degree angle.

Here given line ,

y = -2x - 4

= y = 2x + 4

Since this is in mx + b form ,

m is the slope

So slope = 2.

Given another line = -2x + 8

Slope = -2

Since slopes are not equal they are not parallel .

Since slopes are not negative reciprocal they are not perpendicular .

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Answer:

x = - 2

Step-by-step explanation:

Given

- x - 4 + 3x = - 5x - 18 , that is

2x - 4 = - 5x - 18 ( add 5x to both sides )

7x - 4 = - 18 ( add 4 to both sides )

7x = - 14 ( divide both sides by 7 )

x = - 2

Answer:

Hope it can help you.........

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Step-by-step explanation:

-9/8 is it's resiprocal

Answer:

9/10

Step-by-step explanation:

the rule says

[tex]\frac{a}{b} /\frac{c}{d} =\frac{ad}{bc}[/tex]

so in our case

a=3

b=4

c=5

d=6

so the division is

[tex]\frac{3*6}{4*5} \\\\=\frac{18}{20}[/tex]

we can simplify

[tex]\frac{18}{20} \\\\=\frac{2(9)}{2(10)} \\\\=\frac{9}{10}[/tex]

that's our answer

I don't know if you need step by step of the rule, if you need let me know

The division of the fractions are solved and A = 9/10

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the numerator of the fraction be p

where the value of p =  ( 3/4 )

Let the denominator of the fraction be q

where q = ( 5/6 )

Now , the fraction is A = p/q

On simplifying the expression , we get

So , the left hand side of the equation is equated to the right hand side by the value of p/q

A = ( 3/4 ) / ( 5/6 )

A = ( 3/4 ) x ( 6/5 )

On further simplification , we get

A = ( 18 / 20 )

A = 9/10

Therefore , the value of A = 9/10

Hence , the fraction is A = 9/10

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Solution:

f(10) = 10/2 + 8

f(10) = 5 + 8

f(10) = 13

Best of Luck!

Answer:

The ratio is 2:3

Step-by-step explanation:

There was 750,000 total deaths in the civil war

About 500,000 of these deaths were due to disease and uncleanliness.

To simplify, 50:75 is 10:15 or 2:3.

To solve ratios, just simplify down as much as possible.

Answer:

slope: -2/3    y intercept: (0,4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

the number is 1300 if we have 40% from it will give us 520

Answer:

b = A / h

Step-by-step explanation:

A = b * h

Dividing the equation by h to get b on one side give us:

A / h = b * h / h

A / h = b * 1

A / h = b

b = A / h

Answer:

115 degrees

Step-by-step explanation:

14x+3+4x+10=157

14x+4x+3+10=157

18x+13=157

18x=157-13

18x=144

X=8

14x+3

(14×8)+3

112+3=115

Answer:

360

Step-by-step explanation:

If you multiply 20 by 6 you get 120

then if you multiply 1.50 by 8 you get 12

then multiply 12 by 20 which equals 240

add 240 by 120 you get your final answer 360

Answer:

1/10 or 10%

Step-by-step explanation:

There are 6 numbers:

Probability of drawing 3 is:

Then probability of drawing an even number is:

Combination of two above is:

Let x be the number:

Twice the difference of a number and 5 is 30:

2(x - 5) = 30

Divide both sides by 2:

x - 5 = 15

Add 5 to both sides:

x = 20

Ans: A

Answer:

x = - 2

Step-by-step explanation:

Given

6 - 4x = 7x - 9x + 10, that is

6 - 4x = - 2x + 10 ( add 2x to both sides )

6 - 2x = 10 ( subtract 6 from both sides )

- 2x = 4 ( divide both sides by - 2 )

x = - 2

Answer: x = -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) 2/5= 0.4

2) 2 1/8= 2.1

3) 4/33= 0.12

4) -6/11= -0.54

Explanation:

In fractions, the numerator is the number above the line and the denominator is the number below.

The line in a fraction that separates the numerator and the denominator represents division.

To convert a fraction to a decimal, divide the numerator by the denominator.

Answer:

-563

Step-by-step explanation:

a = -7 , b = 9 , c = 4

9ab +C

9 × -7 × 9 + 4

81 × -7 + 4

-567 + 4

-563

Answer:

B. 4 tablespoons

Step-by-step explanation:

Let’s make a proportion using the following setup:

tablespoons/servings=tablespoons/servings

We know that 12 tablespoons are needed for 60 servings.

12/60=tablespoons/servings

We don’t know how many tablespoons are needed for 20 servings. We can say x tablespoons make 20 servings.

12/60=x/20

Want want to solve for x, so we must isolate x. x is being divided by 20. The inverse of division is multiplication. Multiply both sides of the proportion by 20.

20*(12/60)=(x/20)*20

20*12/60=x

20*0.2=x

4=x

x= 4 tablespoons

4 tablespoons of butter are used to make 20 servings.

Answer:

92

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

4+4+4 is 12. So you carry the 1 to the tenths place and keep the 2.

(1)

64

 14

+14

------

   2

Then you add 1+6+1+1, which is 9.

(1)

64

 14

+14

------

 92

Answer:

The conclusion of the conditional statement is;

it is an integer and a prime number

Step-by-step explanation:

The statement that the argument claims to be true or the statement that the rest of a conditional statement leads to is the conclusion of a conditional statement

Given a conditional statement, also known as an if-then statement, which can be represented symbolically as p → q, such that the hypothesis is p and the conclusion is q.

In the given statement, the hypothesis, p = a number is odd, while the conclusion, q =  it is an integer and a prime number

Therefore, the conclusion of the conditional statement is it is an integer and a prime number.

However, only the converse of the statement is true, which is given as follows;

If a number is an integer and a prime number, then it is an odd number

Answer:

The new coordinates would be (-5,-3)

Step-by-step explanation:

Reflecting a point of the y-axis changes the sign of the point's x-coordinate.

Answer:

j=10

Step-by-step explanation:

6-7j-19=-83

-7j-13=-83

-7j=-70

j=10

Answer:

x<0

Step-by-step explanation:

Let's solve your inequality step-by-step.

−4+

x

3

<−4

Step 1: Simplify both sides of the inequality.

1

3

x−4<−4

Step 2: Add 4 to both sides.

1

3

x−4+4<−4+4

1

3

x<0

Step 3: Multiply both sides by 3.

3*(

1

3

x)<(3)*(0)

x<0

Answer:

Option C: 45 degrees

Step-by-step explanation:

edge2021

Answer:

C) 45°

Step-by-step explanation: