For the diagram shown, which angles are corresponding angles ∠3 and ∠7 ∠8 and ∠6 ∠4 and ∠7 ∠3 and ∠5

Step-by-step explanation:

M(8.-2), M'(x,y) , [tex]$$\overrightarrow{v}[/tex] =(-5,1)

[tex]$$\overrightarrow{MM'} = $$\overrightarrow{v}[/tex]

--> x - 8 = -5 --> x= 3

---> y+2 = 1 --> y =-1

so M'(3,-1) and its reflection y-axis is (-3,-1)

The correct representation of given transformations is [tex]\bold{M(8,-2)\rightarrow M'(3,-1)\rightarrow M''(-3,-1)}[/tex]

"A translation is a geometric transformation where a geometrical figure is moved from one location to another location without changing its size, shape or orientation."

"A vector is a quantity or phenomenon that has magnitude and direction."

To find the vector from point P(a ,b) and Q(m, n)

[tex]\overrightarrow{PQ}= < m-a,n-b >[/tex]

We have been given that, the translation of M (8,-2) along vector<-5, 1 >

Let (x, y) represents the translated point along <-5, 1>

This means, <-5, 1> = <x-8, y-(-2)>

⇒ x - 8 = -5

⇒ x = -5 + 8

⇒ x = 3

Also, y + 2 = 1

⇒ y = 1 - 2

⇒ y = -1

So, the translated point is (3, -1)

The reflection of (3, -1) along y-axis is (-3, -1) .

Hence the correct representation of transformations is[tex]\bold{M(8,-2)\rightarrow M'(3,-1)\rightarrow M''(-3,-1)}[/tex] that is, option (C)

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Answer:

An arrow that goes from 0 to negative 3 and from negative three to 4.5

Give me brainliest,5stars,and thanks plz!

Answer:

arrow goes from negative 3 to negative 1.5 and from 0 to negative 3

Step-by-step explanation:

Answer:

The answer is 2/10 :P

Step-by-step explanation:

We have To list all the possibilities first ! : 1 head, 2 head, 3 head, 4 head, 5 head, 1 tail, 2 tails, 3 tails, 4 tails and 5 tails ! ;)

We have in total 10 possibilities !

So if we want to work out the probability that she will get a 2 and a head, the answer has to be 2/10 because we have 10 possibilities !

I hope I helped you ! :P

Hello!

Answer:

(x + 1).

Step-by-step explanation:

Begin by using the rational root theorem to find possible factors of this equation.

We get the following:

±1, ±3, ±1/2, ± 3/2

We can use synthetic division to check numbers to see if they are a factor of the equation. After checking the possible numbers, -1 was found to produce a remainder of 0 when calculated:

-1 | 2    1     -4     -3

  +      -2     1       3

    2    -1     -3      0

Therefore, x = -1 is a possible root of this equation. Writing this as a factor would become:

x = -1

x + 1 = 0

(x + 1) is the factor.

I hope this helped you!

Answer: the probability of getting a number less than 3 and tails is P 1/6

Step-by-step explanation:

Assuming that the dice and the coin are normal ones, we can expect that the probability for each outcome is about the same.

For the coin we have 2 outcomes, heads and tails, then each outcome has a probability of 1/2

The dice has 6 outcomes, and each outcome has a probability of 1/6.

Then the probability of rolling a number less than 3 is equal to the probability of rolling a 1 plus the probability of rolling a 2.

P1 + P2 = 1/6 + 1/6 = 2/6 = 1/3.

The probability of getting tails with the coin is 1/2.

Now, the joint for both events is equal to the product of the probabilities of each event, this is:

P = (1/3)*(1/2) = 1/6

Answer:

1/6

Step-by-step explanation:

got it right on edge

Step-by-step explanation:

An equivalent fraction can be found by either multiplying the numerator and denominator by the same number or dividing the numerator and the denominator by the same number.

Answer:

power index

Step-by-step explanation:

Prime factor index form is expression of a number as product of its prime number. Here the prime factor is listed only once. It is necessary to insert the required power index to solve for the HCF

Answer:

area of sector:

[tex] \frac{theta}{360} \times \pi \: {r}^{2} [/tex]

[tex] \frac{165}{360} \times \frac{22}{7} ( {8}^{2} )[/tex]

[tex] \frac{11}{24} \times \frac{1408}{7} [/tex]

[tex] \frac{1936}{21} [/tex]

[tex]92.19 \: {in}^{2} [/tex]

Answer:

the area of the sector can be rounded to [tex]92.2\,\,in^2[/tex]

Step-by-step explanation:

Use the fraction of the area of the circle associated with the red sector. Use a proportion to find the appropriate fraction knowing that a full circle [tex](360^o)[/tex] corresponds to the area:

[tex]Area=\pi\,R^2=\pi\, (8\,in)^2= 64\, \pi\,\,in^2[/tex]

then the proportion goes like:

[tex]\frac{64\,\pi\,\,in^2}{360^o} =\frac{sector}{165^o} \\ sector=\frac{64\,\pi\,165^o}{360^o}\,\,in^2\\sector\approx 92.15\,\,in^2[/tex]

Therefore, the area of the sector can be rounded to [tex]92.2\,\,in^2[/tex]

Answer:

Step-by-step explanation:

5.1 × 108 = 550.8

9.6 × 10^0

10^0 = 1

9.6 × 1 = 9.4

2.44 × 10 = 24.4

5.023 × 1010 = 5073.23

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▹ Answer

6

▹ Step-by-Step Explanation

Follow PEMDAS:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

3(4 - 2)

3(2)

= 6

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

The answer is no

Step-by-step explanation:

no

Answer:

angle BEF = 100 degrees

Step-by-step explanation:

For a regular 9-sided polygon (nonagon),

each exterior angle = 360/9=40 degrees

each interior angle = 180-40 = 140 degrees.

Referring to diagram, in the trapezoid (trapezium) BCDE, the base angles are 180-140 = 40 degrees.

Therefore angle DEB = 40 degrees

that leaves BEF = 140-40 = 100 degrees

Answer:

the correct answer is circles

Step-by-step explanation:.

Answer:

6 ft

Step-by-step explanation:

We can use ratios to solve

30 ft tall             x ft tall

------------------  = ------------------

10 ft shadow       2 ft shadow

Using cross products

30 * 2 = 10x

60 = 10x

Divide by 10

60/10 = 10x/10

6 =x

Answer:

[tex]a_{n} = 12 -3(n-1)[/tex]

Step-by-step explanation:

[tex]a_{1} = 12\\a_{n} = a_{n-1} - 3[/tex]

we have to find formula for nth term of series for this problem

[tex]a_{1} = 12\\a_{2} = a_{2-1} - 3 = a_{1} -3 = 12 -3 = 9\\a_{3} = a_{3-1} - 3 = a_{2} -3 = 9 -3 = 6[/tex]

Thus, we see series is 12, 9 ,6

Thus, we can see that series is decreasing by unit of 3.

and we know that when there is in increase or decrease in series by a a constant number then series is arithmetic progression series.

Hence, this is a decreasing AP series

In AP

nth term is given

nth term = a+(n-1)d

where a is the first term

d is the common difference

common difference is given by = nth term - (n-)th term

lets take 2nd and 1st term to get common difference.

d = 9-12 = -3

(note: this was obvious by looking at series itself that d is -3 as series was decreasing by 3 unit)

a = 12

thus, nth term = a +(n-1)d

nth term = 12 +(n-1)(-3)

nth term = 12 -3(n-1)

writing this in form of [tex]a_{n}[/tex]

[tex]a_{n} = 12 -3(n-1)[/tex]  Answer

Answer:

Step-by-step explanation:

Please try reposting with a picture so brainly users can help answer this question :)

The measure of angle < EFD = 47.5 degrees.

Option C is correct.

An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference.

As, we know

The angle that an arc subtends at its centre is double that of its circumference.

In other words, the angle at the centre is twice as large as the angle at the perimeter.

So,  <EFD = 95/2

or, <EFD = 47.5 degrees.

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Answer:

A- 5 banners

B- 2 banners

C- 2 banners

D- Shade banner 2

Answer:

44.957

Step-by-step explanation:

All we can do is estimate √3 and then exponent 9 by it.

Alternatively, plug it into a calc and calculate.

Answer:

  783.7 square units

Step-by-step explanation:

The formula for the surface area of a cylinder is ...

  A = 2πr^2 + 2πrh = 2πr(r +h)

Using the given numbers, the area is ...

  A = 2(3.14)(6)(6 +14.8) = 783.7 . . . square units

Answer:

About 783.7 square cm.

Step-by-step explanation:

The formula for the surface area of a cylinder is (2 * pi *r^2) + (2 * pi * r * h).

(2 * 3.14 * 6^2) + (2 * 3.14 * 6 * 14.8) = (2 * 3.14 * 36) + (2 * 3.14 * 6 * 14.8) = 6.28 * 36 + 6.28 * 88.8 = 226.08 + 557.664 = 783.744.

So, the surface area of the cylinder is about 783.7 square centimetres.

Hope this helps!

Answer:

P = 0.4688 = 46.88%

The probability that a randomly selected high school student plays organized​ sports is 0.4688.

Step-by-step explanation:

We are given that a survey of 900 randomly selected high school students determined that 422 play organized sports.

​(a) What is the probability that a randomly selected high school student plays organized​ sports?

We know that the probability of an event is given by

P = Number of desired outcomes/total number of outcomes

For the given case, the desired outcomes are those students who play organized sports and the total number of outcomes are 900 randomly selected high school students who were surveyed.

So the probabilty is

P = 422/900

P = 0.4688

P = 46.88%

​(b) Interpret this probability

There is a 46.88% chance of randomly selecting a high school student who plays organized sports or in other words, if we randomly choose a high school student then there is a 46.88% probability that the selected student plays organized sports.

Answer:

Step-by-step explanation:

The figures that come to a point (cone, pyramid) only have one base. The others have two:

  cylinder

  rectangular prism

  triangular prism

Answer:

B-cylinder

C-rectangular prism

E-triangular prism

Step-by-step explanation:

Got it right on edge unit test

Answer:

This is a basic cubic function- thus the domain is all real numbers. You could think about domain as the possible x values for a graph. Since this cubic function extends from x=negative infinity to x=positive infinity, the range is all real numbers, or (-infinite, infinite) if you are told to write in interval notation.

Hope this helps!

The domain of [tex]y= x^{3}[/tex] are all real numbers, or  R due to the fact that [tex]x^{3}[/tex]  is a polynomial, which means its domain is R too.

Solution:

The domain of a particular expression is all real numbers except in the place where expression is undefined. The domain of any graph includes all the x-values that are solutions.

Interval Notation:

(-

Set-Builder Notation:

{x|x ∈R}

Determine the domain from the graph:

Thus, the domain of is:

(−∞,∞), {x|x∈R}

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Answer:

Thurka got 8 questions right and 4 wrong.

Step-by-step explanation:

Thurka got "x" questions right and "y" questions wrong, therefore the sum of these questions must be equal to the total number of questions in that exam, which would be 12, therefore:

[tex]x + y = 12[/tex]

Since for each right question Thurka got 5 marks and for each wrong one 2 marks, then the total score can be written as:

[tex]5*x - 2*y = 32[/tex]

Solving the system of equations would give us the number of right and wrong questions.

[tex]\left \{ {{x + y=12} \atop {5*x-2*y=32}} \right.[/tex]

[tex]\left \{ {{2*x + 2*y=24} \atop {5*x - 2*y=32}} \right.[/tex]

[tex]7*x = 56\\x = \frac{56}{7} = 8[/tex]

[tex]y = 12 - x = 12 - 8 = 4[/tex]

Thurka got 8 questions right and 4 wrong.

Answer:

D. $56,250

Step-by-step explanation:

Calculate the increase.

45000 × (1 + 25%)

45000 × 1.25

= 56,250

They made $56,250 this month.

Answer:

D

Step-by-step explanation:

Answer:

If Henry walks along the sidewalks, he will walk 1.7 miles in total. It will take him 17 minutes to reach the store and another 17 minutes to come back.

If Henry cuts through the city, he will walk √(1.2² + 0.5²) = 1.3 miles in total. It will take him 22.3 minutes to reach the store and another 22.3 minutes to come back.

Even though Henry will need to walk a longer distance if he walks along the sidewalks, he will be able to reach the store and back back in a shorter time than if he cuts through the city.

If you stretch on the y-axis then you are increasing/decreasing values at a every x.

The new function is therefore:

[tex]g(x)=3\cdot2^x[/tex]

Hope this helps.

Answer:

A,D E

Step-by-step explanation:

I took the quiz-ur welcome.

Dont forget to rate and thanks!

Answer:

A,D E

Step-by-step explanation:

Answer: 0.705

Hello!

________________________

Sheila either walks or cycles to school the probability that she walks to school is 0.705

Step-by-step explanation:

Probability she walks and is  not late = 0.65 * 0.60 = 0.39.

Probability she cycles and is not late =  0.35*0.9 = 0.315

Therefore P(not late) =  0.39 + 0.315 = 0.705

Hope this helped you!

The conversion rate is 1cm to 4km, or 1:4.

Because we know the conversion rate, we can use this ratio to calculate the map distance.

If the distance between the two towns is 28km, then we can use the conversion rate to calculate the distance on the map.

28 / 4 = 7

Therefore, the distance between the two towns on a map is 7cm.

Hope this helped! :)

Answer:

Step-by-step explanation:

1cm……..4km

x…………28km

x=28km*1cm/4km

Answer:

a = 4,

b = 12

c = 10

d = 15

Step-by-step explanation:

Since the product of each column is equal, therefore,

b*5 = 60

b = 60 ÷ 5 = 12

c*6 = 60

c = 60 ÷ 6 = 10

Since the sum of each column are equal, therefore,

12 + 10 + a = 5 + 6 + d

22 + a = 11 + d

Think of a number you can add to 22, and another number you can add to 11, which will make both sides equal. Add both numbers, whenmultiplied together should give you 60.

Factors of 60 are:

(a, d)

(1, 60) => 22 + a = 11 + d => 22+1 = 11+60 (incorrect)

(2, 30) => 22 + a = 11 + d => 22+2 = 11+30 (incorrect)

(3, 20) => 22 + a = 11 + d => 22+3 = 21+20 (incorrect)

(4, 15) => 22 + a = 11 + d => 22+4 = 11+15 => 26 = 26 [CORRECT]

(5, 12) => 22 + a = 11 + d => 22+5 = 11+12 (incorrect)

(6, 10) => 22 + a = 11 + d => 22+6 = 11+10 (incorrect)

Therefore,

a = 4,

d = 15