Angle C is congruent to angle S. Angle B is congruent to angle R. Angle A is congruent to angle D. Line AB is congruent to angle DR. Angle BC is congruent to angle SR. Angle AC is congruent to angle DS. There is nothing congruent in the single triangles but the triangles are congruent to each other.

100,105,110.25… recusive formula

**Answer:**

a[1] = 100

a[n] = 1.05·a[n -1]

**Step-by-step explanation:**

The given terms do not have a common difference, but do have a common ratio. Each is 1.05 times the previous. This is expressed in a recursive relation as ...

** a[1] = 100**

** a[n] = 1.05·a[n -1]**

Amir wants to create a 4-digit password for his phone. He wants to choose 4 different numbers between 1 and 5 inclusive. Calculate the total number of 4-digit passwords that Amir can create.

**Answer:**

**Step-by-step explanation:**

Let the digits be:

abcdEach of them include numbers 1 through 5.

For each digit there are 5 options.

Total number of combinations is:

5*5*5*5 = 625
The right answer is 120. Let abcd represent the numbers. The number have to be different meaning no repeats so that would mean:

a has 5 choices of numbers

b had 4

c has 3

d has 2

So the equation would be 5x4x3x2 = 120

a has 5 choices of numbers

b had 4

c has 3

d has 2

So the equation would be 5x4x3x2 = 120

help i dont know how to do this !!!!!!!!!!!! for brainlist

**Answer:**

We can simplify everything to the power of 2:

[tex]8^{x+2} = 2^{3*(x+2)}=2^{3x+6[/tex]

[tex]16^{x+1} = 2^{4*(x+1)}=2^{4x+4[/tex]

As the two equations are equal to each other and they have common bases, their powers must be equal too. We can come up with this equation:

3x+6=4x+4

solve for x

**x=2**

**D (last answer choice)**

plug x=2 in and check and you will get 4096=4096

AHHHHHH HELP PLEASE

[tex]3.25 \div \sqrt{24} [/tex]

The answer is 0.66340347

can you identify the value of each digit ?

**Answer:WHAT VALUE AND WHAT DIGIT**

**Step-by-step explanation:**

how many liters of a 30% antifreeze solution need to be added to 10 L of a 57% antifreeze solution to get 50% antifreeze solution. round to two decimal places.

50% decimal places hope it helps

can somebody please tell me if this is correct or not

Answer:

I would have done it the same way. Believing it is correct.

Step-by-step explanation:

Answer: Looks precise

Step-by-step explanation:

i need help with this question, thx to anyone who helps! :)

**Answer:**

Golf balls

**Step-by-step explanation:**

There is a much higher chance of her picking an even number in the golf ball tank because there are way more golf balls with even numbers. (2, 4, 6, 8, etc.)

Help please, and explanation.

According to my teacher the answer is not 1/4.

**Answer:**

1/9

**Step-by-step explanation:**

There are 3 even numbers. 2,4, and 6. There is a 1/3 chance of rolling one on each dice.

So 1/3*1/3=1/9

i have 9 animals 3 are girls what percent is girls?

**Answer:**

33 1/3%

**Step-by-step explanation:**

Because there are 3 girls and 9 total animals, you do: 3/9, which is 1/3. You divide to find the percent. 1/3=33.333333..... Because you have a repeating decimal, you do 33 and 1/3, because the repeating decimal is .33333.....

Explain the steps in solving 2.14x-12.18=-576 , and write the solution to the equation.

**Answer:**

x = 274 91/107

**Step-by-step explanation:**

This is called a "two-step linear equation" because it is solved in 2 steps.

**Step 1**. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

2.14x -12.18 +12.18 = 576 +12.18

2.14x = 588.18

__

**Step 2**. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

2.14x(1/2.14) = 588.18(1/2.14)

x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

**The solution to the equation is x = 274 91/107**.

**Answer:**

x = 274 91/107

**Step-by-step explanation:**

Step-by-step explanation:

This is called a "two-step linear equation" because it is solved in 2 steps.

Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

2.14x -12.18 +12.18 = 576 +12.18

2.14x = 588.18

__

Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

2.14x(1/2.14) = 588.18(1/2.14)

x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

The solution to the equation is x = 274 91/107.

Find the value of x when 6-2x =5x-9x+16The value of x is

**Answer:**

5

**Step-by-step explanation:**

6-2x = 5x-9x+16

leave the x's together: (going over the equal signs changes the sign)

-2x-5x+9x = 16-6

2x = 10

x = 5

Ok done. Thank to me :>

You and your sister are buying your mom a birthday gift. You paid $54 and your sister paid $22. What percentage did each sister contribute to the total cost of the gift?

**Answer:**

$54 = 71%, $22 = 29%

**Step-by-step explanation:**

54+22=76

54/76 = 0.7105

22/76 = 0.2894

Plzz help Drag each graph to the correct location on the table.

The points on the graphs represent relations. Classify these relations according to whether or not they are functions.

**Answer:**

Functions: Second Graph

The other two are not. Use the vertical line test. I'm pretty sure but not 100%

**Step-by-step explanation:**

Answer plz school is stressful

the answer is 1 month

**Answer:**

1 month.

**Step-by-step explanation:**

When reading a graph, the most important thing is knowing what the axes are. Here, the horizontal x-axis is months, and the vertical y-axis is the number of books read. Those are our 2 variables.

Now, a line on a graph shows the relationship between those 2 variables. At any given point on the line, it'll have an output value of y (books read) for whatever input value of x.

The question gives you the value on the y-axis (books read), so all you need to do is find the value of x that corresponds to that point on the line. I marked that point on the line in the attached image. Look directly below that point on the line, and you can see that 1 month corresponds to 4 books read.

Eric has to read a 250-page novel by Friday. With four days left until Friday, he has read 110 pages of the novel. What percentage of the pages does Eric still have to read?

**Answer:**

56% left of the book

**Answer:**

56 %

**Step-by-step explanation: There are two ways to arrive at the answer.**

**1st Way****: 110/250 = 0.44**

**0.44 * 100 = 44%**

**44% is the amount he has read and we are looking for the amount that is left to read.**

**So we know 100% is the maximum percentage.**

**We then subtract 44 from 100 which is 56, So 56 is the answer.**

**2nd Way****: 250-110 = 140**

**140/250=0.56 **

**0.56*100= 56%**

**Hope this helps.**

Which table of values would produce the graph shown above?

The answer to your question is B.

The side lengths of a triangle are 12, 14, and x units

**Answer: x=14**

**Step-by-step explanation: have a good day**

What is the greatest common factor of 3 and 33?

**Answer:**

3

**Step-by-step explanation:**

**Step 1: **Find the factors of 3 and 33.

**Step 2: **Find the largest common factor they share.

Therefore, the GCF of 3 and 33 is **3**.

6.4 divided by 43.52

Answer:

0.14705882352

Step-by-Step:

Just use a calculator and your answer should pop up.

A triangle has sides with lengths of 4 meters , 5 meters, and 7 meters . Is it a right angle ?

**Answer:**

No

**Step-by-step explanation:**

Help me I don’t know if it -7 and -12

**Answer:**

I think it's-12

I am not sure

Please ask to *some** **one** **else** **please** *

Answer:

X < -7

Explain:

X < -7

Explain:

Simplify this expression.

2V5(13 +V2)

**Answer:**

26V^5+2V^7

**Step-by-step explanation:**

Hey Guys!

Try to solve this maths question.....

[tex]a + b + c = 4 \\ {a}^{2} + {b}^{2} + {c}^{2} = 10 \\ {a}^{3} + {b}^{3} + {c}^{3} = 22 \\ {a}^{4} + {b}^{4} + {c}^{4} = ? [/tex]

Don't copy from web and Don't spam

Need answer as well as explanation

Thank You!

Use the multinomial theorem to compute some polynomial expansions:

(a + b + c)² = a² + b² + c² + 2 (ab + ac + bc)

(a + b + c)³ = a³ + b³ + c³

… … … … … … + 3 (a²b + a²c + ab² + b²c + ac² + bc²)

… … … … … … + 6 abc

(a + b + c)⁴ = a⁴ + b⁴ + c⁴

… … … … … … + 4 (a³b + a³c + ab³ + b³c + ac³ + bc³)

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 12 (a²bc + ab²c + abc²)

Now, given that

**a + b + c = 4**

**a² + b² + c² = 10**

it follows that

**ab + ac + bc** = (4² - 10)/2 = **3**

We use this result to simplify the extra terms in the 3rd-degree expansion.

a²b + a²c + ab² + b²c + ac² + bc²

= a (ab + ac) + b (ab + bc) + c (ac + bc)

= a (ab + ac + bc) + b (ab + ac + bc) + c (ab + ac + bc) - 3abc

… … I underline the terms that are added and subtracted … …

= (a + b + c) (ab + ac + bc) - 3abc

= 4 • 3 - 3abc

= 12 - 3abc

Given that

**a³ + b³ + c³ = 22**

this tells us that

4³ = 22 + 3 (12 - 3abc) + 6abc

4³ = 58 - 3abc

and so

**abc** = (4³ - 58)/(-3) = **-2**

from which it follows that

**a²b + a²c + ab² + b²c + ac² + bc²** = 12 - 3 • (-2) = **18**

Now we similarly simplify the extra terms in the 4th-degree expansion.

a³b + a³c + ab³ + b³c + ac³ + bc³

= a² (ab + ac) + b² (ab + bc) + c² (ac + bc)

= a² (ab + ac + bc) + b² (ab + ac + bc) + c² (ab + ac + bc) - a²bc - ab²c - abc²

= (a² + b² + c²) (ab + ac + bc) - (a²bc + ab²c + abc²)

= 10 • 3 - (a²bc + ab²c + abc²)

which means

4⁴ = a⁴ + b⁴ + c⁴

… … … … … … + 4 (30 - a²bc - ab²c - abc²)

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 12 (a²bc + ab²c + abc²)

reduces to

136 = a⁴ + b⁴ + c⁴

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 8 (a²bc + ab²c + abc²)

Now, we know a + b + c = 4 and abc = -2, so we have

**a²bc + ab²c + abc²** = abc (a + b + c) = -2 • 4 = **-8**

and so

136 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²) + 8 • (-8)

200 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²)

Finally, we know that ab + ac + bc = 3. Squaring this gives

(ab + ac + bc)² = 3²

a²b² + a²c² + b²c² + 2 (a²bc + ab²c + abc²) = 9

but we also know that a²bc + ab²c + abc² = -8, so

a²b² + a²c² + b²c² + 2 • (-8) = 9

**a²b² + a²c² + b²c² = 25**

Therefore, we end up with

200 = a⁴ + b⁴ + c⁴ + 6 • 25

⇒ **[[[ a⁴ + b⁴ + c⁴ = 50 ]]**

evaluate 2x+y for x=1/3 and y=2/3

a.1/3

b.2/3

c.4/3

d.5/3

**Answer:**

C. 4/3

**Step-by-step explanation:**

2 × ⅓ + ⅔

⅔ + ⅔ = 4/3

Use X as ⅓, and use Y as ⅔.

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (â€""3 i) (18 5i)? (â€""3 i) (18 5i) 0 â€""3 (i 18) 5i (â€""3 18) (i 5i) â€""(3 â€"" i) (18 5i).

The **expression **that demonstrates the use of the **commutative property** is

**(-1 + 18) + (3i + 5i**)

Give two integers A and B, according to the **commutative law** of addition;

**Given** the expression (-1+3i) + (18+5i)

The **expression** that demonstrates the use of the** commutative property** of addition in the first step of **simplifying **the expression is given as:

(-1+3i) + (18+5i)

-1 + 3i + 18 + 5i

(-1 + 18) + (3i + 5i)

We can see that the rearrangement does not affect the sum. Hence the **expression **that demonstrates the use of the **commutative property** is

**(-1 + 18) + (3i + 5i**)

Learn more on **commutative property** here: https://brainly.com/question/778086

a wall that is 1.4m long has started lean and makes an angle of 80’o with the ground. A 2.0m board is jammed between the top of the wall and the ground to help prop the walk up. What angle does the board make with the

ground?

well i see that 1x 1 is 2 so that’s your answer!!!!!!!!!

help quick! Which BEST describes the tables?

**Answer:**

D. Neither table represents a function

**Step-by-step explanation:**

Functions require a key to go by. In this case, none of the two tables have a key from the start going down.

An online T-shirt store is having a sale. The original price of each T-shirt is p dollars. The store sells 20 T-shirts and earns a total of (20p−60) dollars.

a. Factor the expression using the GCF.

20p−60=

b. The discount per T-shirt is $

. what is the discount

**Answer:**20 (p-3)

**Step-by-step explanation:**

Which function is represented by the graph? f(x) = â’|x â’ 3| 4 f(x) = â’|x 3| 4 f(x) = â’|x â’ 4| 3 f(x) = â’|x 4| 3.

**Functions **are used to represent **graphs**, and vice versa.

The **function **represented by the **graph **is [tex]f(x) =- |x + 4| + 3[/tex]

The graph (see attachment) is an **absolute value graph.**

An **absolute value graph **is represented as:

[tex]f(x) =a |x - h| + k[/tex]

Where

[tex]Vertex = (h,k)[/tex]

The **vertex **is the **minimum **or the **maximum point **on the **graph**.

So, we have:

[tex]Vertex = (-4,3)[/tex]

The **function **becomes

[tex]f(x) =a |x + 4| + 3[/tex]

The **function **also passes through the **point** (-1,0).

So, we have:

[tex]0 =a |-1 + 4| + 3[/tex]

[tex]0 =a |3| + 3[/tex]

Remove the absolute bracket

[tex]0 =3a + 3[/tex]

Subtract 3 from both sides

[tex]3a =- 3[/tex]

Divide both sides by 3

[tex]a =- 1[/tex]

Substitute -1 for (a) in [tex]f(x) =a |x + 4| + 3[/tex]

[tex]f(x) =- |x + 4| + 3[/tex]

Hence, the **function **represented by the **graph **is [tex]f(x) =- |x + 4| + 3[/tex]

Read more about **absolute value graphs **at:

https://brainly.com/question/3381225

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