(3х3 – 17х2 + 15x — 25)
(x — 5)

Answer:

asa

Step-by-step explanation:

yas

∠ACB and ∠DCE are vertical angles.

∠B ≅ ∠E

BC ≅ EC

The congruence theorem that can be used to prove ΔABC and  ΔDEC is ASA.

Option A is the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangles:

ABC and DEC

The congruence theorem that is used to prove two triangles are:

ASA = angle side angle

SSS = side side side

SAS = side angle side

∠ACB and ∠DCE are vertical angles.

∠B ≅ ∠E

This means that angles B and C are congruent.

BC ≅ EC

This means that sides BC and EC are congruent.

From the given conditions we see that,

∠ACB and ∠DCE are vertical angles

This is an angle condition.

∠B ≅ ∠E

This is an angle condition.

BC ≅ EC

This is a side condition.

Thus,

The congruence theorem that can be used to prove ΔABC and  ΔDEC is ASA.

Option A is the correct answer.

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Answer:

5.87

Step-by-step explanation:

easy

Step-by-step explanation:

I'm proud of what u have been doing ! Keep up the good job !!

[tex]\texttt{\color{hotpink}☆･ᴗ･☆smile \: please☆･ᴗ･☆}[/tex]

Answer:

A

Step-by-step explanation:

We have the expression:

[tex]-4ab[/tex]

And we want to find its sign given that a>0 and b<0.

Notice that the expression is already negative since we have -4.

a>0 means that a is positive. Therefore, we can ignore it since it won’t do anything.

b<0 means that b is negative. Therefore, we will have two negatives being multiplied together. Hence, this will make a positive.

Therefore, the sign of our expression will be positive.

We can see this with an example. Let a=1 (1>0) and let b=-1 (-1<0). Then:

[tex]-4(1)(-1)=4[/tex]

So, the sign is positive.

Hence, the answer is A.

Answer:

The answer is A

Step-by-step explanation:

khan said so

Answer:

Tyson's account will have $ 133.90 more than Ariana's account.

Step-by-step explanation:

In Tyson's case, he invests $ 2,500 in an account whose interest rate is 5.75% and is compounded annually. In turn, Ariana invests the same amount and for the same interest, but this is not compounded.

Thus, Ariana, at the end of her 6 years, will have a total amount in her account of $ 3,362.5 (((2,500 x 5.75 / 100) x 6) + 2,500), of which $ 862.5 will correspond to the interest generated.

Instead, Tyson's investment interests will be consolidated annually. Thus, in 6 years, this investment will evolve as follows:

-Year 1 --- 2,500 x 1.0575 = 2,643.75

-Year 2 --- 2,643.75 x 1.0575 = 2,795.76

-Year 3 --- 2,795.76 x 1.0575 = 2,956.52

-Year 4 --- 2,956.52 x 1.0575 = 3,126.52

-Year 5 --- 3,126.52 x 1.0575 = 3,306.29

-Year 6 --- 3,306.29 x 1.0575 = 3,496.40

Thus, at the end of the 6 years, Tyson will have $ 3,496.40 in his account. Thus, Tyson's account will have $ 133.90 more than Ariana's account.

Answer :When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. When prices are expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, they are called unit prices.

Step-by-step explanation:

Answer:

constant property of the proportionally proportionate rrrr is ryx

The relation between the cost (y) of x movie tickets is y= 8.5 x.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.  According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Number of Tickets    Cost

    2                            $17.00

    3                            $25.50

    4                            $34.00

    5                            $42.50

As, y=rx

r= y/x

r= 17/2

r= 8.5

again, r= 34/4

r= 8.5

Hence, the relation is y= 8.5 x.

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Answer:

74

Step-by-step explanation:

Answer:

I need the points, thanks!!!

Step-by-step explanation:

The relationship between lines KO and K’O’ is given as Line K'O' = 5*line KO

Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.

Reflection happens when it is reflected over a line as we see in a mirror. But here the two triangles are not looking as images on  a line.  Hence no reflection

Rotation is keeping the same shape but rotating through a certain angle.

Translation is not right because there is no vertical or horizontal shift to get new triangle.

Dilation is the increase or decrease in size of a figure by a scale factor.

The larger figure was dilated using a scale factor of 5

hence

Line K'O' = 5 * line KO

The relationship between lines KO and K’O’ is given as Line K'O' = 5 * line KO

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Angle BAD is equal angle ABD

Answer:

[tex]\frac{x^2-4}{x+2} = x-2\\\frac{4x^2-1}{2x+1} = 2x-1[/tex]

Step-by-step explanation:

a) (x2 - 4)/(x + 2)

We can simply use factorization to solve the given question.

Here the first term will be numerator and second term will be denominator.

We will factorize the numerator.

So,

[tex]\frac{x^2-4}{x+2}[/tex]

Using formula, [tex]a^2+b^2 = (a+b)(a-b)[/tex]

[tex]\frac{x^2-4}{x+2}\\= \frac{(x^2)-(2)^2}{x+2}\\=\frac{(x+2)(x-2)}{x+2}\\= x-2[/tex]

b) (4x2 - 1) / (2x + 1)​

We can simply use factorization to solve the given question.

Here the first term will be numerator and second term will be denominator.

We will factorize the numerator.

[tex]\frac{4x^2-1}{2x+1}[/tex]

Using formula, [tex]a^2+b^2 = (a+b)(a-b)[/tex]

[tex]= \frac{(2x)^2-(1)^2}{2x+1}\\=\frac{(2x+1)(2x-1)}{2x+1}\\= 2x-1[/tex]

Hence,

[tex]\frac{x^2-4}{x+2} = x-2\\\frac{4x^2-1}{2x+1} = 2x-1[/tex]

Answer:

(-5, 17)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

5x + 3y = 26

-2y = 6x - 4

Step 2: Rewrite systems

5x + 3y = 26

y = 2 - 3x

Step 3: Solve for x

Step 4: Solve for y

And we have our final answer!

Answer:

a. 50 - 4h < 32

Step-by-step explanation:

The question is "When will the temperature be below 32F?" so it can't be less than or equal to (≤), it has to be less than (<).

If the temperature is decreasing every hour you have to decrease 4 for each hour.

hope that helps!

Answer and Step-by-step explanation: Rotation is a "movement" of a geometric figure in order to transform one in another. In rotation, the shape and size of the figure is the same, so they are congruent.

A geometric figure can be rotated clockwise or counterclockwise and by different angles.

One way to recognized the angle of rotation is comparing the points of the figure and its rotated image.

On the figure below, triangle DOG has coordinates:

D (-2,1)

O (-3,3)

G (1,1)

And its image:

D' (2,-1)

O' (3,-3)

G' (-1,-1)

Comparing both set of coordinates, we observe:

D (-2,1) → D' (2,-1)

O (-3,3) → O' (3,-3)

G (1,1) → G' (-1,-1)

that the coordinates for ΔDOG and ΔD'O'G' are opposite to each other, i.e.:

(x, y) → (-x,-y)

rotating counterclockwise.

Since coordinates are opposite and rotation is counterclockwise, ΔD'O'G' is rotated by 180° related to ΔDOG.

Answer:

y = -1/2x + 2

Step-by-step explanation:

Topic: Graphs and Functions

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

a) because the denominators are the same add the numerators:

1 1/5 + 3 2/5 = 4 3/5

b) rewrite the fractions to have a common denominator:

1/2 = 3/6

1/3 = 2/6

Now subtract:

4 3/6 - 1 2/6 = 3 1/6

Answer:

6/5+30/5

=6/5+6

=36/5

b)9/2+4/3

=26/6

=13/3

Step-by-step explanation:

Answer:

they are parallel

Step-by-step explanation:

they have the same slope

The lines represents the parallel line.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

y=5/4x +1 and y=5/4x-7

4y= 5x+ 4 and 4y= 5x-7

Now, [tex]a_1[/tex]= 4, [tex]b_1[/tex]= 5,  [tex]c_1[/tex]= 4

[tex]a_2[/tex]= 4, [tex]b_2[/tex]= 5,  [tex]c_2[/tex]= -7

Now, on comparing the ratio we have

[tex]a_1[/tex]/[tex]a_2[/tex] =  [tex]b_1[/tex]/ [tex]b_2[/tex] ≠  [tex]c_1[/tex]/ [tex]c_2[/tex]

Hence, the lines represents the parallel line.

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Answer:no

Step-by-step explanation:hope it helps

Answer: 8

32 divided by 4 equals 8

Step-by-step explanation:

Answer:

$10.67

Step-by-step explanation:

$32 divided by 3 is about $10.67, in it's simplest form.

I hope this helped, please mark Brainliest, thank you!! :)

Answer:

The answer is M + 2, if thats wat ur asking for.

Step-by-step explanation:

Answer:

M+2

Step-by-step explanation:

M+12-10

Since there are only 12 and -10 that are the same you can add them together to get 2 and that is pretty much what you could do unless you find what M is.

Hope this helps!

Answer:

0.2

Step-by-step explanation:

θ =  

arctan( ΔY ) + 180°

ΔX

= 168.69006752598°

ΔX = -2 – 3 = -5

ΔY = 6 – 5 = 1

Distance (d) = √ΔX2 + ΔY2 = √26 = 5.0990195135928

Equation of the line:

y = -0.2x + 5.6

or

y =  

- 1 x

5

+  28

5

When x=0, y = 5.6

When y=0, x = 28

Answer:

-0.2

Step-by-step explanation:

goodluck:)

Step-by-step explanation:

An integer is 3 less than 5 times another. If the product of the two integers is 36, then the integers are: 3 and 12. Solution: x * (5x 3) 36; 5x2 - 3x = 36; 5x2 -3x 36 = 0; (5x + 12)(x - 3) = 0; x = -12/5 or x =3.

Answer:that is an s

Step-by-step explanation:

si quema cuh

Answer:

Part A)

[tex]f(1)=2, \; f^{-1}(1)=0, \; f^\prime(1)=1.4, \; (f^{-1})^\prime(1)=\frac{10}{7}[/tex]

Part B)

[tex]y=\frac{5}{14}x+\frac{4}{7}[/tex]

Step-by-step explanation:

Please refer to the table of values.

Part A)

A. 1)

We want to find f(1).

According to the table, when x=1, f(x)=2.

Hence, f(1)=2.

A. 2)

We want to find f⁻¹(1).

Notice that when x=0, f(x)=1.

So, f(0)=1.

Then by definition of inverses, f⁻¹(1)=0.

A. 3)

We want to find f’(1).

According to the table, when x=1, f’(x)=1.4.

Hence, f’(1)=1.4.

A. 4)

We will need to do some calculus.

Let g(x) equal to f⁻¹(x). Then by the definition of inverses:

[tex]f(g(x))=x[/tex]

Take the derivative of both sides with respect to x. On the left, this will require the chain rule. Therefore:

[tex]f^\prime(g(x))\cdot g^\prime(x)=1[/tex]

Solve for g’(x):

[tex]g^\prime(x)=\frac{1}{f^\prime(g(x))}[/tex]

Substituting back f⁻¹(x) for g(x) yields:

[tex](f^{-1})^\prime(x)=\frac{1}{f^\prime({f^{-1}(x)})}[/tex]

Therefore:

[tex](f^{-1})^\prime(1)=\frac{1}{f^\prime({f^{-1}(1)})}[/tex]

We already determined previously that f⁻¹(1) is 0. Therefore:

[tex](f^{-1})^\prime(1)=\frac{1}{f^\prime(0)}[/tex]

According to the table, f’(0) is 0.7. So:

[tex](f^{-1})^\prime(1)=\frac{1}{0.7}=\frac{10}{7}[/tex]

Hence, (f⁻¹)’(1)=10/7.

Part B)

We want to find the equation of the tangent line of y=f⁻¹(x) at x=4.

First, let’s determine the points. Since f(2)=4, this means that f⁻¹(4)=2.

Hence, our point is (4, 2).

We will now need to find our slope. This will be the derivative at x=4. Therefore:

[tex](f^{-1})^\prime(4)=\frac{1}{f^\prime({f^{-1}(4)})}[/tex]

We know that f⁻¹(4)=2. So:

[tex](f^{-1})^\prime(4)=\frac{1}{f^\prime(2)}[/tex]

Evaluate:

[tex](f^{-1})^\prime(4)=\frac{1}{f^\prime(2)}=\frac{1}{2.8}=\frac{10}{28}=\frac{5}{14}[/tex]

Now, we can use the point slope form. Our point is (4, 2) and our slope at that point is 5/14.

So:

[tex]y-2=\frac{5}{14}(x-4)[/tex]

Solve for y:

[tex]y-2=\frac{5}{14}x-\frac{20}{14}[/tex]

Adding 2 to both sides yields:

[tex]y=\frac{5}{14}x-\frac{20}{14}+\frac{28}{14}[/tex]

Hence, our equation is:

[tex]y=\frac{5}{14}x+\frac{4}{7}[/tex]

Answer:

it is the last one ( HE SIMPLYFIED INCORECCT)

Step-by-step explanation:

i took the test

Answer:

do you have any people who could make you happy from where you are?

Answer:

I've been through this too.

I know it's hard. I know there are many things that trigger your cutting. I noticed you said you live on your pain. I did too. One way I coped was instead of cutting myself, I would have a rubber band on my self and snap the rubber band to my wrist when I felt like cutting. This helped a lot, and I still do it to this day. Please trust me, when you look back at yourself in the future you won't believe you did that to your beautiful body. Please trust me on this one. <3

Answer:

11,10.45

Step-by-step explanation:

4.4/8=0.55

6.05/0.55=11

11*0.55=0.45

Answer:

Read below

Step-by-step explanation:

I whole. 5. Elena bought 8 tokens for $4.40. At this rate: Next Page. Unit 3: Unit Rates and Percentages Lesson 10: What Are Percentages?