50 Points: Name the similar triangles & Prove the similarity with details

The simplified form of the expression 6! − 3! when it is simplify using the properties of factorial is 3!((6x5x4) − 1).

Simplified form of a term is the simplest way of expression the term, which is obtained  by applying the required operations of mathematics.

Factorial is the way to write the product of the numbers from its phase value to 1 in decreasing order. Suppose, the number is 3!. Then it can be written as,

3!=3×2×1

The expression which has to be simplified is,

6! - 3!

It can be written as,

6! - 3!

(6×5×4×3!)-3!

3!((6×5×4)-1)

Thus, the simplified form of the expression 6! − 3! when it is simplify using the properties of factorial is 3!((6x5x4) − 1).

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{6! - 3!}\\\mathsf{\approx 6(5)(4)(3)(2)(1) - 3(2)(1)}\\\mathsf{\approx 30(4)(3)(2)(1)- 6(1)}\\\mathsf{\approx 120(3)(2)(1) - 6}\\\mathsf{\approx 360(2)(1) - 6}\\\mathsf{\approx 720(1) - 6}\\\mathsf{\approx 720 - 6}\\\mathsf{\approx 714}\\\mathsf{\approx 3!((6\times5\times4) - 1)}[/tex]

[tex]\huge\text{Answer: \boxed{\mathsf{3!((6\times5\times4) - 1)}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Answer is in attachment

Mark brainliest :)

The axis of symmetry of the quadratic equation is [tex]x = \sqrt 6[/tex]

One of the root is given as:

[tex]x = -2 - \sqrt 6[/tex]

As a general rule, the solution to a quadratic equation is represented by:

[tex]x =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

This means that the actual root of the given root is:

[tex]x = -2 \pm \sqrt 6[/tex]

So, the other root is:

[tex]x = -2 + \sqrt 6[/tex]

Subtract both roots and divide it by 2 to determine the axis of symmetry

[tex]x = \frac{|-2 - \sqrt 6 + 2 - \sqrt 6|}{2}[/tex]

Evaluate

[tex]x = \frac{|-2\sqrt 6|}{2}[/tex]

Remove the absolute sign

[tex]x = \frac{2\sqrt 6}{2}[/tex]

Divide

[tex]x = \sqrt 6[/tex]

Hence, the axis of symmetry of the equation is [tex]x = \sqrt 6[/tex]

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Answer:

24 and 25

Step-by-step explanation:

From given, we have,

7 square = 49

Let the first positive number be = x

And the second consecutive positive number is = x+1

x + (x + 1) = 49

2x + 1 = 49

2x = 49 - 1

2x = 48

x = 24

the first number x = 24

the second consecutive number x+1  = 24 + 1 = 25

Thus, 7 square = 24 + 25 (the sum of two consecutive positive numbers.)

Answer:



Fraction:     5400/5625
Decimal Number:     0.96
Percentage:     96%                                

Explantion: There are a total of 5625 elks in the park. 225 of those are marked.

5625 - 225 = 5400

So, 5400 elks are not marked yet.

5400/5626 = 0.96 = 96%

0.96 is close to 1 so we could say that it is very likely that the next elk caught will be unmarked.

Answer:

Fraction:     5400/5625

Decimal Number:     0.96

Percentage:     96%        

Step-by-step explanation:

Answer:

r≈4.65

Step-by-step explanation:

Standard form ax²+bx+c

Multiply - on both sides

Simplify

Convert

Answer:

Startup Capital

Step-by-step explanation:

The startup capital is the money raised by a new company in order to meet its initial costs. Entrepreneurs would need to form a solid business plan or create a prototype in an attempt to sell their concept, which would help them gain startup capital.

Answer:

parallel

Step-by-step explanation:

the slope of both is 1/3

Answer:

purple

Step-by-step explanation:

if you take red and blue u get purple. the apple is red then add blue and boom.

Answer:

it is red,

Step-by-step explanation:

there are many types of apples, not all apples are red, some are red and green some have a mix of different colors on them

Answer:

104 square inches .............

Answer:£75, £275

Step-by-step explanation:

The division of the numbers £350 will be £25 and £275.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Divide £350 in the ratio of 3:11​.

Let the division in the form of variables be x and y. Then the equation will be

x + y = 350        ...1

x / y = 3 / 11

x = (3/11)y       ...2

Put the equation2 in equation 1, then we have

(3/11)y + y = 350

3y + 11y = 3850

14y = 3850

y = 275

Then the value of x will be

x = (3/11) x 275

x = 25

Then the division of the number £350 will be £25 and £275.

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Answer:

C.   (x, y) → (x, -y)

Step-by-step explanation:

The algebraic representation that correctly describes a reflection over the x-axis is (x, y) → (x, -y)

Here's an example to show understanding

Plot A is (4,6) and the reflection over the x-axis would be (4,-6)    

Answer:

Simplest Form. 2/3 * 3 3/5 = 125 = 2 25 = 2.4. Spelled result in words is twelve fifths (or two and two fifths).

Answer 12/5

Step-by-step explanation:

If i am wrong sorry :(

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

Let the number be 4x and 7x respectively !

Then ,

[tex]\bold{7x - 4x = 9} \\ \\ \bold{\longrightarrow \: 3x = 9} \\ \\ \bold{\longrightarrow \: x = \cancel\frac{9}{3}} \\ \\ \bold{\longrightarrow \: x = 3}[/tex]

therefore ,

first number = 4x = 4 × 3 = 12

second number = 7x = 7 × 3 = 21

hope helpful ~

The difference of two numbers is 9 and they are in the ratio 4 : 7. Find the numbers.

In this question we are provided with the ratio of two numbers that is 4 : 7 and it is also given that the difference between two numbers is 9. We are asked to calculate the two numbers.

[tex] \small \purple{ \underline{ \underline{\rm{ First \: we \: will \: form \: an \: equation }}}}[/tex]

Let us assume the number as 4x and 7x.

It is given that the difference is 9

According To Question

[tex] \small \blue{\sf{7x - 4x = 9}}[/tex]

[tex] \small \green{ \underline{ \underline{\rm{ Now \: we \: will \: solve \: this \: equation \: and \: find \: the \: value \: of \: x}}}}[/tex]

Let us solve this equation

[tex] \small\sf{7x - 4x = 9} [/tex]

[tex]⟹ \small\rm{3x = 9} [/tex]

[tex]⟹ \small\rm{x = \dfrac{ \cancel{9} \: \: 3}{ \cancel{3}} } [/tex]

[tex] \small\sf{x = 3} [/tex]

Substitute the value of x = 3

7x = 7 × 3 = 21

4x = 4 × 3 = 12

Hence the two numbers are 21 and 12.

Answer:

First of all, I could inform Billy that collection agencies cannot falsely claim that he had committed a crime or say that he will be arrested if he does not repay the money he owes. Failing to repay a medical bill in a timely manner would not land him in prison.

The law also states that debt collectors are not allowed to harass debtors. They are not permitted to call in the early hours of the morning and call repeatedly. Billy can actually order collectors to stop contacting him.

Next, as his account/medical debt had already been sold to collections, he should contact the collection agency to work out payment arrangements. If he is unable to pay the debt in full, some collection agencies may offer a settlement amount. Once he has paid off the account, the collection agency will notify the credit reporting companies it reports to that the account should be updated to note it has been paid in full. He should check to see how his account is appearing by ordering a copy of his report from each of the three credit reporting agencies.

After all these, Billy should then work on rebuilding his credit score.

Step-by-step explanation:

Step-by-step explanation:

the second and the 6th options keep the same graph but shift it to the left.

the other options :

the first option changes the graph (the factor -2 stretched and flips the graph).

the third and the 5th options shift the graph up and down. but not to the left.

the 4th option shifts it to the right.

when you add a constant inside the x terms, you shift to the left.

when you subtract a constant inside the x terms, you shift to the right.

e.g. when having f(x+2), then everything, that should happen at x+2 happens already at x. 2 units earlier, and therefore a shift to the left.

in the other direction, f(x-2) makes everything that should have happened at x-2 happen finally at x. so, everything shifts 2 units to the right.

Answer:

90

Step-by-step explanation:

I say 90 because 24 is just a little higher than 1/4 of 80 and since 1/4 of 300 is 75, 90 is the best estimate based off the sample survey. Hope this helps!

Answer:

say what now?

Step-by-step explanation:

Answer: $6.25

Step-by-step explanation:

   First, we will find out how much money was spent on tickets.

$60 - $28.75 = $31.25

   Now, we will divide the money spent on tickets by the number of tickets bought. This will give us the answer to your problem.

$31.25 / 5 = $6.25

      Each ticket cost $6.25.

Answer:

Diagonal = 900 meters

Step-by-step explanation:

The diagonal would be   sqrt (400^2 + 400^2 + 700)^2 = 900 m

Answer:

  2

Step-by-step explanation:

A line and a parabola will intersect at one point if and only if that point is a point of tangency.

__

Here, we know there is one point of intersection at x=0, but the line has a slope of 7, not 0. It is not a tangent to the parabola, so there must bet two points of intersection.

Answer:

x^2-10x+24

Step-by-step explanation:

We need to factor the equation

(x-4)(x-6)

-4x+-6x=-10x

Set it equal to 0

x-4=0

x=4

x-6=0

x=6

Answer:

thats cool imma use this for a challenge now

Answer:

50

Step-by-step explanation:

180-105=75

180-(75+55)=50

The measure of side GF is solved to be

Too side GF we use trigonometry tan, in the formula

tan x = opposite / adjacent

Where x is the given angle and opposite and adjacent are the legs of the right triangle

In this case, opposite = EF = 3, and adjacent = GF, x = 60 degrees

tan 60 = 3 / GF

Isolating GF results to

GF = 3 / tan 60

GF = 1.73205080757

GF = 1.73

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Answer:

1/2 and 1/10 is your answer