Are triangles DEF and LNM similar if LN equals 4, MN equals 3, DE equals 12, and FE equals 9? Yes, by the SAS Similarity Postulate Yes, by the SSS Similarity Postulate No, the corresponding sides are not proportional No, there is not enough info

Answer:

Progression: 11, 18, 25

Rule: Add 7

Step-by-step explanation:

Given

List of numbers: 8, 11, 13, 18, 25, 37

Sample Progression: 8, 13, 18; with common difference of 5

Required

Form a different progression using any three listed numbers

To solve this; we'll make use of trial and error methods;

NB: I've tried several numbers; So, I'll just stick to the one that works

To start with;

Select ->11

Add 7 to 11: 11 + 7 - > 18

Add 7 to 18: 18 + 7 -> 25

With the above illustration, we've successfully used three numbers (11, 18 and 25) to form a new progression and the rule is to add 7

Answer:

48

Step-by-step explanation:

5 x^2 +x

Let x = 3

5 * 3^2 +3

Exponents first

5 * 9+3

Multiply next

45+3

48

Answer:

33

Step-by-step explanation:

If x=3, we have to plug it into 5x(2)+x.

1: Plug it into the equation

(5(3))(2)+3

2: Mutiply it all out

15(2)+3

30+3

33

Hope this helped!  :)

Answer:

6x²-2=13

6x²=13+2=15( transposition method)

x²=15/6

x=√15/6

Answer:

It is the second one.

Step-by-step explanation:

6x²=17

x²=17/6

x=±sqrt(15)/6

The amount raised by Akeelah is x, by Barika is x- 2.60, and by James is 2x- 5.20.

If we analyze it via steps,

We first take the value we know, that is the amount raised by Akeelah that is x. So if Barika is 2.60 less than Akeelah we will numerically express the equation as x-2.60.

Then we look at the amount raised by James it says that it is twice as much as Barika, we numerically express that as

2(x- 2.60) = (2.x) - (2 . 2.60) = 2x -5.20 (simpler form)

If we want to find out the amount we can even do so by adding the amount raised by Barika, Akeelah, and James. We numerically express that as x + (x-2.60) + (2x-5.20) . This equation will be equal to the total value given as the amount raised by all three which is $76.23.

So, By the Problem,

x + (x-2.60) + (2x-5.20) = 76.23

=> 4x - 7.80 = 76.23

=> 4x = 68.43

=> x = 68.43/4

=> x = 17.11

Therefore, Akeelah raised x = $17.11

Barika raised x-2.60 = $14.51

James raised 2x -5.20 = $29.02

Learn more about algebra:

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Answer:

B and C are the answers

Step-by-step explanation:

Answer:

326 kg

Step-by-step explanation: weight of the motorcycle: 237 kg

Mass of the rider: 89 kg

Total mass: 237+89:326 kg

Answer:

326 kg

Step-by-step explanation:

tbh im lazy to type it in i owe u a explanation

It can be understood from below that Option A for Spread and Option D for Center is the correct answer.

Center describes a typical value of a data point. Two measures of center are mean and median.

Spread describes the variation of the data. Two measures of spread are range and standard deviation.

In the graph we can see that the hourly earnings are more spread out in Career B and

Career B has greater median hourly earnings than Career A.

Therefore Option A for Spread and Option D for Center is the correct answer.

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Answer:

A and D

Step-by-step explanation:

Answer:

These are ordered 1, 2, 3, 4

Answer:

around 30

Step-by-step explanation: dont quote me though

We know that the perimeter is at most 57 feet. We will call the length of each side with the variable 'x'. Each side is the same since it's an equilateral triangle.

The perimeter of the triangle is defined as '3x' because 3 times the side length of an equilateral triangle is its perimeter.

Since the perimeter is at most 57 feet, it can't be more than that. Therefore, we get the inequality 3x≤57.

This inequality is the same as saying the perimeter is less than or equal to 57 feet.

Now we solve.

3x≤57

Isolate 'x': 3x/3≤57/3

0<x≤19 is our answer.

The reason there is a "0<" added is because the side of a triangle can't be less than 0, that would be impossible.

Answer:

-25

Step-by-step explanation:

Essentially, y is your output and x is your input.

Here's your base equation: y = 2x + 5

Knowing the information above, let's plug it in:

-45 = 2x + 5

(Subtract 5 from both sides)

-50 = 2x

(Divide both sides by 2 to isolate x)

-25 = x

And there you go.

Answer:

input is -25

Step-by-step explanation:

y = 2x + 5

The output is -45 which is y

-45 = 2x + 5

Subtract 5 from each side

-45-5 = 2x

-50 = 2x

Divide each side by 2

-50/2 = 2x/2

-25 = x

Answer:

18 students

Step-by-step explanation:

This is a division problem.

20 divided by 10/9

20/(10/9) =

= 20/1 * 9/10

= 180/10

= 18

Answer:

there are no answer choices

Step-by-step explanation:

sorry can't help

Answer:

an = 8 + (n-1) *(-6)

Step-by-step explanation:

The explicit formula is

an = a1+ d (n-1)  where a1 is the initial value and d is the common difference

The initial value is 8  so a1 = 8

The common difference is what we are adding or subtracting each time

We are subtracting 6 each time as we see from the recursive forumla

so d = -6

an = 8 -6(n-1)

or

an = 8 + (n-1) *(-6)

Answer:

C

Step-by-step explanation:

[tex]a_{n}-a_{n-1}=-6\\d=-6\\a_{n}=a_{1}+(n-1)d\\a_{n}=8+(n-1)(-6)[/tex]

Answer:

[tex]\boxed{\sf \ \ \ (x-1)(x-3)(x+5) \ \ \ }[/tex]

Step-by-step explanation:

Hello,

1 is a trivial zero so we can write

[tex]x^3+x^2-17x+15=(x-1)(x^2+2x-15) = (x-1)(x^2+5x-3x-15)\\==(x-1)(x(x+5)-3(x+5))=(x-1)(x-3)(x+5)[/tex]

hope this helps

yes

1.-3

2.3

3.10

4.2

5.3

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▹ Answer

8x - 3y - 9z

▹ Step-by-Step Explanation

(5x - y - 3z) + (3x - 2y - 6z)

Remove the parentheses

5x - y - 3z + (3x - 2y - 6z)

Collect like terms

8x - y - 3z - 2y - 6z

Final Answer

8x - 3y - 9z

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer: 8x - 3y - 9z

Step-by-step explanation:

(5x - y - 3z) + (3x - 2y - 6z)

Remove Parenthesis

5x - y - 3z + 3x - 2y - 6z

Add Like Terms

8x - 3y - 9z

Answer:

work is shown and pictured

Answer:1,3,5,7,

Step-by-step explanation:

When you are dilating the perimeter grows by the scale factor, and when you are dilating the area, it grows by the scale factor squared(16).

Answer:

1,3,6,7

Step-by-step explanation:

Edgy 2022

Answer:

6(π + 1) cm

Step-by-step explanation:

d = 2r

P(s.circle) = πd + d

= π·2·3cm + 2·3cm

= π·6cm + 6cm

= 6(π + 1) cm

here is the answer hope this helps

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▹ Answer

-a - 2b - 9c

▹ Step-by-Step Explanation

(-2a - 4b - 6c) - (-a - 2b + 3c)

Remove parentheses

-2a - 4b - 6c - (-a - 2b + 3c)

Collect like terms

-a - 4b - 6c + 2b - 3c

Final Answer

-a - 2b - 9c

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer: -a - 2b -9c

Step-by-step explanation:

-2a - (-a) = -a

-4b - (-2b) = -2b

-6c - (3c) = -9c

-a - 2b - 9c

Answer:

an = 8 - 2*(n - 1)

Step-by-step explanation:

a1 ; .... ; an-1 ; an

r = an - an-1

r = (an-1 - 2) - an-1

r = an-1 - 2 - an-1

r = -2

So:

an = a1 + r*(n - 1)

an = 8 + (-2)*(n - 1)

an = 8 - 2*(n - 1)

The nth term of the arithmetic sequence using the explicit formula will be [tex]a_{n}[/tex] = 8 - 2(n - 1) thus option (A) is correct.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

As per the given,

First term a₁ = 8

[tex]a_{n} =a_{n-1}-2[/tex]

The common difference between the AP will is,

d = [tex]a_{n} -a_{n-1}[/tex]

d = -2

The nth term of an AP is given as a + (n - 1)d

Thus,

[tex]a_{n}[/tex] = 8 + (n - 1)(-2)

[tex]a_{n}[/tex] = 8 - 2(n - 1)

Hence "The nth term of the arithmetic sequence using the explicit formula will be [tex]a_{n}[/tex] = 8 - 2(n - 1)".

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Answer:

(5, 0) and (4, 0)

Step-by-step explanation:

According to the graph shown, the parabola passes trough the points (4,0) and (5,0). Therefore, they are the x-intercepts of the parabola.

Answer:

(4,0) and (5,0)

Step-by-step explanation:

The solutions of a parabola is when the parabola crosses the x- intercept.

Answer:

12 hours

Step-by-step explanation:

$3000 / 36hours / 10weeks = $8.33333333333

$3000 / 30weeks / $8.33333333333 = 12hours

Answer:

12

Step-by-step explanation:

Since she only needs to make the same amount of money, if she works for 3 times as many weeks, she can work 3 times fewer hours per week, meaning she can work 1/6x36= 12 hours per week

Step-by-step explanation:

7^3/4=

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

=

[tex] \sqrt[4]{343} [/tex]

Answer:

(4,0) , (2,0)

Step-by-step explanation:

To find the x-intercept, substitute in  

0

for  

y

and solve for  

x

. To find the y-intercept, substitute in  

0

for  

x

and solve for  

y

Answer:

Answer is A

Step-by-step explanation:

Answer:

Option A is the correct option

solution,

[tex] \frac{8x + 7}{ {x}^{2} + 4x + 5 } - \frac{5x - 6}{ {x}^{2} + 4x + 5} \\ = \frac{8x + 7 - (5x - 6)}{ {x}^{2} + 4x + 5} \\ = \frac{8x+ 7 - 5x + 6}{ {x}^{2} + 4x + 5 } \\ = \frac{8x - 5x + 7 + 6}{ {x}^{2} + 4x + 5 } \\ = \frac{3x + 13}{ {x}^{2} + 4x + 5 } [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

[tex]\dfrac{16}{225}[/tex].

Step-by-step explanation:

It is given that,

Number of red markers = 3

Number of blue markers = 5

Number of yellow markers = 3

Number of black markers = 4

Total markers = 3 + 5 + 3 + 4 = 15

Probability of getting a black marker is

[tex]P(Black)=\dfrac{\text{Number of black markers}}{\text{Total markers}}[/tex]

[tex]P(Black)=\dfrac{4}{15}[/tex]

Probability of choosing two black markers if the first marker is put back before the second is drawn, is

Required probability [tex]=P(Black)\times P(Black)[/tex]  

                      [tex]=\dfrac{4}{15}\times \dfrac{4}{15}[/tex]

                      [tex]=\dfrac{16}{225}[/tex]

Therefore, the  probability of choosing two black markers if the first marker is put back before the second is drawn, is [tex]\dfrac{16}{225}[/tex].